id
stringlengths 9
16
| submitter
stringlengths 5
34
| authors
stringlengths 7
3.47k
| title
stringlengths 7
179
| comments
stringlengths 7
268
⌀ | journal-ref
stringlengths 18
86
⌀ | doi
stringlengths 14
53
⌀ | report-no
stringclasses 21
values | categories
stringlengths 5
55
| license
stringclasses 6
values | abstract
stringlengths 36
1.9k
| versions
listlengths 1
5
| update_date
timestamp[ms]date 2007-05-23 00:00:00
2025-10-08 00:00:00
| authors_parsed
listlengths 1
264
| vector
listlengths 1.02k
1.02k
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1406.4031
|
John ZuHone
|
J. A. ZuHone (NASA/GSFC, U. Maryland), M. W. Kunz (Princeton), M.
Markevitch (NASA/GSFC), J. M. Stone (Princeton), V. Biffi (SISSA)
|
The Effect of Anisotropic Viscosity on Cold Fronts in Galaxy Clusters
|
v1: 20 pages, 16 figures, submitted to the Astrophysical Journal. v2:
fixed some typos. v3: version accepted by referee, 21 pages, 18 figures
| null |
10.1088/0004-637X/798/2/90
| null |
astro-ph.CO astro-ph.HE
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Cold fronts -- contact discontinuities in the intracluster medium (ICM) of
galaxy clusters -- should be disrupted by Kelvin-Helmholtz (K-H) instabilities
due to the associated shear velocity. However, many observed cold fronts appear
stable. This opens the possibility to place constraints on microphysical
mechanisms that stabilize them, such as the ICM viscosity and/or magnetic
fields. We performed exploratory high-resolution simulations of cold fronts
arising from subsonic gas sloshing in cluster cores using the grid-based Athena
MHD code, comparing the effects of isotropic Spitzer and anisotropic Braginskii
viscosity (expected in a magnetized plasma). Magnetized simulations with full
Braginskii viscosity or isotropic Spitzer viscosity reduced by a factor f ~ 0.1
are both in qualitative agreement with observations in terms of suppressing K-H
instabilities. The RMS velocity of turbulence within the sloshing region is
only modestly reduced by Braginskii viscosity. We also performed unmagnetized
simulations with and without viscosity and find that magnetic fields have a
substantial effect on the appearance of the cold fronts, even if the initial
field is weak and the viscosity is the same. This suggests that determining the
dominant suppression mechanism of a given cold front from X-ray observations
(e.g. viscosity or magnetic fields) by comparison with simulations is not
straightforward. Finally, we performed simulations including anisotropic
thermal conduction, and find that including Braginskii viscosity in these
simulations does not significant affect the evolution of cold fronts; they are
rapidly smeared out by thermal conduction, as in the inviscid case.
|
[
{
"version": "v1",
"created": "Mon, 16 Jun 2014 14:32:55 GMT"
},
{
"version": "v2",
"created": "Tue, 17 Jun 2014 13:15:02 GMT"
},
{
"version": "v3",
"created": "Fri, 2 Jan 2015 22:14:42 GMT"
}
] | 2015-06-22T00:00:00
|
[
[
"ZuHone",
"J. A.",
"",
"NASA/GSFC, U. Maryland"
],
[
"Kunz",
"M. W.",
"",
"Princeton"
],
[
"Markevitch",
"M.",
"",
"NASA/GSFC"
],
[
"Stone",
"J. M.",
"",
"Princeton"
],
[
"Biffi",
"V.",
"",
"SISSA"
]
] |
[
0.05063373222947121,
0.7731376886367798,
0.36385512351989746,
0.2687605321407318,
0.17402464151382446,
0.3728005588054657,
-0.25930485129356384,
-0.45345035195350647,
-0.7185103297233582,
1.4370883703231812,
-0.21542266011238098,
0.40953439474105835,
0.36019060015678406,
-1.463034987449646,
-0.47700560092926025,
-0.030420105904340744,
-0.12499962002038956,
-0.8341131210327148,
-1.36680006980896,
-0.32959532737731934,
-0.29861295223236084,
-0.7992204427719116,
-1.0391473770141602,
-0.7460096478462219,
-0.6279498338699341,
0.27119261026382446,
-0.18552272021770477,
0.08725759387016296,
1.1151008605957031,
0.0730704814195633,
0.28640103340148926,
-0.8816753029823303,
0.14198286831378937,
-0.7293761372566223,
-0.5114259123802185,
0.060769662261009216,
0.6482079029083252,
-0.18274042010307312,
0.053815364837646484,
-0.4289086163043976,
0.9419780373573303,
-0.14642879366874695,
0.407667875289917,
-0.3432387411594391,
-0.37453919649124146,
0.04460538178682327,
0.026978954672813416,
0.029098063707351685,
-0.1724611222743988,
-1.0691640377044678,
0.18090832233428955,
-0.15402844548225403,
-0.1856614500284195,
-0.636872410774231,
-0.589507520198822,
0.06760091334581375,
-0.17078401148319244,
0.277167946100235,
-0.02876848727464676,
-0.6803416609764099,
0.044485658407211304,
0.803005039691925,
0.2898017168045044,
0.05587718263268471,
-0.16616104543209076,
0.776097297668457,
-0.22868789732456207,
-0.009957702830433846,
-0.1392892599105835,
-0.35559383034706116,
-0.655405580997467,
0.3006308376789093,
-0.07507810741662979,
0.05574914813041687,
-0.5857493281364441,
-0.00946578849107027,
0.3566286861896515,
-0.19650109112262726,
-0.11599835008382797,
-0.43263569474220276,
0.258958101272583,
0.5499722361564636,
0.8831129670143127,
0.40072083473205566,
0.28139159083366394,
-0.6037928462028503,
0.1261567622423172,
0.34022367000579834,
0.20050844550132751,
0.11885926872491837,
0.046975791454315186,
0.8726514577865601,
-0.38172176480293274,
-0.4575710594654083,
0.5022037029266357,
0.02798343449831009,
0.1655212938785553,
0.30436477065086365,
-0.3086419403553009,
0.31490349769592285,
0.5042708516120911,
0.8966374397277832,
-1.0067079067230225,
0.02247440442442894,
-0.587844729423523,
0.7409292459487915,
0.11662590503692627,
-0.35308197140693665,
-0.31992390751838684,
-0.5646734237670898,
0.04752808064222336,
0.2729572355747223,
0.14430278539657593,
0.444561243057251,
0.6025614738464355,
0.25741732120513916,
0.382743239402771,
-0.3423565626144409,
-0.4032866954803467,
0.015586499124765396,
0.20239600539207458,
0.02602824755012989,
0.2451709657907486,
0.4631279706954956,
-0.3626457452774048,
0.10593298077583313,
0.133463516831398,
0.3012861907482147,
-0.3839445412158966,
-0.7948070168495178,
0.06932304054498672,
-0.672860324382782,
-0.5535939335823059,
0.8562663793563843,
1.1036945581436157,
0.18935668468475342,
0.48571768403053284,
0.507695198059082,
0.24033352732658386,
-0.29505300521850586,
0.15194502472877502,
-0.5740097761154175,
0.1988651305437088,
1.3190276622772217,
-0.30520281195640564,
0.16946348547935486,
-0.05305403843522072,
-0.4634602963924408,
-0.1094520166516304,
-0.14194662868976593,
-0.4313807189464569,
-0.6481513977050781,
-0.04583601653575897,
-0.15438778698444366,
-0.5613503456115723,
-0.18428325653076172,
-0.8388407230377197,
0.42248180508613586,
-0.6900820732116699,
-0.3718803822994232,
-0.055426426231861115,
-0.2678406536579132,
0.3495997488498688,
0.3056343197822571,
-0.08171284943819046,
0.18597429990768433,
-0.3984531760215759,
-0.6695554256439209,
0.6710088849067688,
-0.6426060795783997,
-0.041461437940597534,
-0.22291243076324463,
0.4557432532310486,
0.06429600715637207,
0.4391127824783325,
0.41504108905792236,
0.05140188708901405,
-0.1861732304096222,
-0.4903794229030609,
0.3660527765750885,
0.009262875653803349,
-0.1884050816297531,
0.3390083909034729,
0.33435559272766113,
-0.011045507155358791,
0.2839191257953644,
0.07297595590353012,
-0.29112696647644043,
0.05548534169793129,
0.5801334977149963,
0.2082987278699875,
0.6737942695617676,
-0.5583305358886719,
0.42344117164611816,
-0.6583548784255981,
-0.6818071603775024,
-0.20135867595672607,
-0.07897478342056274,
0.3317284882068634,
-0.3423381447792053,
0.2877626121044159,
0.43109896779060364,
-0.5324406027793884,
-0.2144484966993332,
-0.7394633293151855,
-0.2817607522010803,
0.7023262977600098,
0.7254345417022705,
-0.3521171808242798,
-0.13297806680202484,
0.6488131880760193,
0.2928386628627777,
0.0813790038228035,
-0.16365468502044678,
0.27723532915115356,
-0.05479287728667259,
-0.132231667637825,
-0.038410406559705734,
-0.07676415890455246,
-0.10903464257717133,
0.47808071970939636,
0.05925590917468071,
-0.4163462817668915,
1.3193460702896118,
-0.389949768781662,
-0.27483105659484863,
0.19006802141666412,
0.43793177604675293,
0.7946887016296387,
0.5384490489959717,
0.14016567170619965,
0.35306867957115173,
-0.4316636919975281,
-0.024372845888137817,
0.23127199709415436,
0.13305820524692535,
0.4107169508934021,
1.1637884378433228,
-0.1787985861301422,
-0.16553376615047455,
0.7651690244674683,
-0.10932034999132156,
0.2205979824066162,
0.32117959856987,
-0.21491503715515137,
0.6511982083320618,
-0.48855605721473694,
0.07280028611421585,
-0.5781334042549133,
0.18471626937389374,
-0.27661317586898804,
0.5809295177459717,
-0.12620477378368378,
-0.37904128432273865,
-0.8470070958137512,
-0.5900241136550903,
-0.16648955643177032,
-0.16300709545612335,
-0.7198671102523804,
-0.3959849774837494,
0.3789876401424408,
0.06352892518043518,
-0.5407809019088745,
0.14684951305389404,
-0.09897899627685547,
0.966349184513092,
-0.38451263308525085,
0.23913052678108215,
0.6061128973960876,
-0.6378906965255737,
-1.1017922163009644,
-0.18597139418125153,
-0.8427554965019226,
-0.46261242032051086,
0.020731572061777115,
0.13628850877285004,
0.4050872027873993,
-0.34587234258651733,
0.6688826084136963,
0.8738731741905212,
-0.028456617146730423,
0.6917192935943604,
-0.3705958127975464,
0.13549216091632843,
-0.1324479579925537,
0.3485194742679596,
-1.0790205001831055,
0.3485715091228485,
-0.5806674361228943,
0.2422078549861908,
-0.26968467235565186,
0.07444888353347778,
-0.9422959685325623,
-0.05961964279413223,
0.26208677887916565,
-0.042686667293310165,
-0.08860564231872559,
-0.10035582631826401,
0.3717598021030426,
-0.5188744068145752,
-0.06927543878555298,
-0.5496756434440613,
-0.6401795148849487,
-0.4345577657222748,
-0.5190925002098083,
-0.11913879215717316,
-0.48944419622421265,
-0.7605653405189514,
0.5998532176017761,
0.03081076219677925,
-0.37649205327033997,
0.1901189535856247,
-0.2676670253276825,
0.22225436568260193,
-0.239944726228714,
0.8563931584358215,
0.7542331218719482,
-0.11611171066761017,
0.881962239742279,
-0.5991085767745972,
-0.7419285178184509,
-0.2789083421230316,
0.9847733974456787,
-1.1263986825942993,
0.15652169287204742,
1.179226040840149,
0.3646635115146637,
-0.600519597530365,
0.9143708348274231,
-0.6312649250030518,
-0.08945666998624802,
0.010754631832242012,
-0.528756856918335,
0.9537930488586426,
-0.08472108840942383,
0.043981168419122696,
-0.8702580332756042,
0.03403027728199959,
0.36388009786605835,
0.8823745846748352,
0.17213280498981476,
0.4146784245967865,
0.2373410016298294,
0.6271282434463501,
-0.8532577157020569,
-0.7044296264648438,
0.7769766449928284,
-0.4992963671684265,
0.24443764984607697,
-0.7010344862937927,
-0.6790183782577515,
0.004737169481813908,
0.5623655319213867,
-0.3696156442165375,
-0.0323495976626873,
0.5263181328773499,
-0.9416736364364624,
-0.18579672276973724,
-0.9229415059089661,
0.02522590570151806,
-0.061138760298490524,
-0.060307905077934265,
0.06023108959197998,
-0.19049790501594543,
-0.11915513128042221,
0.021315744146704674,
0.5885000824928284,
0.04923199117183685,
0.4144762456417084,
-0.2896808385848999,
0.1687791347503662,
0.14103616774082184,
-0.5741981863975525,
-0.29624730348587036,
-0.3489825427532196,
0.13694168627262115,
0.4988451898097992,
0.42383837699890137,
1.2258144617080688,
-0.45382291078567505,
-0.16653338074684143,
-0.42703503370285034,
0.7551324963569641,
0.12487754225730896,
-0.030594980344176292,
0.09515797346830368,
-0.2964138090610504,
0.35956472158432007,
-0.6310659050941467,
-0.5092453956604004,
0.27885162830352783,
-0.5220882892608643,
-0.07886232435703278,
-0.7078232169151306,
-0.6587140560150146,
0.1888580471277237,
0.5984655618667603,
0.7631620764732361,
-0.07616601884365082,
-0.03805148974061012,
0.37154337763786316,
-0.6724367141723633,
0.44240260124206543,
-0.11122972518205643,
0.5915029644966125,
0.02682945318520069,
-0.22405658662319183,
0.07357563823461533,
-0.004481624346226454,
0.04322437942028046,
0.004175000824034214,
-0.6833496689796448,
-0.28038448095321655,
0.5645832419395447,
0.20310470461845398,
0.5867873430252075,
-0.13603796064853668,
0.0960063561797142,
0.2861327528953552,
0.04548201709985733,
-0.7082551121711731,
-0.06579435616731644,
0.42485055327415466,
0.7276925444602966,
0.04362532123923302,
-0.6758794188499451,
0.3471173048019409,
-0.09060119092464447,
0.3756462633609772,
0.013848365284502506,
-0.8200900554656982,
-0.20094247162342072,
-0.12099248170852661,
0.9688560366630554,
-0.6672844886779785,
0.6591971516609192,
0.8610906600952148,
-0.30115190148353577,
-0.2866022288799286,
-0.42092424631118774,
-0.3170805275440216,
0.6260232925415039,
0.04248783737421036,
-0.0919104516506195,
-0.24065634608268738,
0.1525108516216278,
-0.08586635440587997,
0.5477592349052429,
-0.7331714630126953,
-0.7524634003639221,
-0.40016505122184753,
-0.05565420910716057,
1.071575403213501,
-0.6483139395713806,
-0.5957269072532654,
0.872671902179718,
-0.2132648080587387,
-0.3733295798301697,
0.5168309807777405,
-0.22612008452415466,
-0.04432832449674606,
0.3170829713344574,
-0.4271623194217682,
-0.6561591625213623,
-0.582439661026001,
-0.09637900441884995,
-0.44147124886512756,
0.7076659798622131,
0.31097081303596497,
0.9473850727081299,
0.08443982154130936,
0.06259854137897491,
-0.01153763011097908,
0.34113937616348267,
-0.00878977682441473,
-0.5474609732627869,
0.17756181955337524,
-0.6244567036628723,
-0.2533819079399109,
-0.5151963829994202,
-0.08020227402448654,
0.6810880899429321,
-0.27005845308303833,
0.23156259953975677,
-0.17892856895923615,
-0.11718738824129105,
0.18357500433921814,
0.14798831939697266,
-0.39263102412223816,
0.3698807954788208,
-0.0751352608203888,
-0.04592997208237648,
-0.5597673058509827,
-0.5447062253952026,
-0.45095551013946533,
-0.2606566548347473,
0.35009413957595825,
-0.6448318958282471,
0.11945224553346634,
-0.10111650079488754,
-0.5410371422767639,
0.08720962703227997,
-0.6271753311157227,
0.3774781823158264,
-0.5844130516052246,
-0.563582718372345,
-0.41356292366981506,
-1.028862714767456,
-0.22972290217876434,
-0.20655721426010132,
0.16288836300373077,
-0.15261614322662354,
-0.19219142198562622,
-0.266136109828949,
-0.26613128185272217,
0.8958829045295715,
-0.027030501514673233,
-0.24311146140098572,
0.17812493443489075,
-0.09036809206008911,
0.13192862272262573,
-0.7090021371841431,
-0.18610969185829163,
0.33932045102119446,
-0.2556222975254059,
0.23999731242656708,
-0.2711791694164276,
-0.9916484951972961,
0.16230052709579468,
0.3240355849266052,
0.5128412842750549,
-0.7886568307876587,
0.16111117601394653,
-0.08726678043603897,
-0.6839127540588379,
-0.2405305951833725,
0.23280362784862518,
0.052209846675395966,
-0.5438964366912842,
-0.39325422048568726,
-0.5889663100242615,
0.2178104817867279,
-0.4568714201450348,
-0.2619343101978302,
-0.3612199127674103,
-0.04088522866368294,
-0.6451038718223572,
1.527265191078186,
-0.44338977336883545,
0.22234487533569336,
0.41151660680770874,
0.0999571681022644,
0.44086283445358276,
0.8043172359466553,
-0.22397840023040771,
-0.1374010145664215,
-0.28931552171707153,
0.5484673380851746,
0.19392432272434235,
0.1899147927761078,
-0.5527800917625427,
0.5154421925544739,
-0.5179328322410583,
0.022843098267912865,
-0.23469138145446777,
0.11011141538619995,
-0.16307605803012848,
0.030013354495167732,
0.5144973397254944,
-0.6897204518318176,
0.2859564423561096,
0.7826672196388245,
0.027264762669801712,
0.4480002522468567,
0.6916036009788513,
-0.12968823313713074,
-0.2544957995414734,
-0.656355082988739,
-0.3480812609195709,
1.0113613605499268,
-0.012814135290682316,
0.6288103461265564,
0.14123298227787018,
-0.31424039602279663,
0.562664806842804,
-0.10210727155208588,
0.5655364394187927,
0.794654369354248,
0.3757856488227844,
0.6148104071617126,
-0.3012784421443939,
0.22640781104564667,
0.24075113236904144,
0.15768975019454956,
1.2866274118423462,
-0.36422035098075867,
-0.6662518978118896,
0.49400970339775085,
-0.006404975429177284,
-0.8084028959274292,
0.015767153352499008,
0.3717131018638611,
0.7429335713386536,
-0.7293848991394043,
1.1809308528900146,
0.06732425093650818,
-0.2754215598106384,
-0.007240894716233015,
-0.1208822950720787,
0.18159128725528717,
-0.1452786773443222,
0.2281074970960617,
-0.03737297281622887,
0.5580586194992065,
0.7116609215736389,
-0.547757625579834,
0.0036811947356909513,
0.17281866073608398,
0.24489820003509521,
-0.4168872833251953,
-0.23075547814369202,
0.3055385947227478,
0.5124581456184387,
-0.2458323836326599,
-0.6954895853996277,
-0.6220534443855286,
0.23958708345890045,
0.37534648180007935,
-0.38069868087768555,
-0.6166037917137146,
0.04779735207557678,
-0.905194878578186,
-0.07270985841751099,
0.4305128753185272,
0.21824054419994354,
-0.12881866097450256,
-0.3776242136955261,
0.09330674260854721,
-0.8273908495903015,
0.8154726028442383,
1.6368520259857178,
-0.2227134108543396,
-0.07769323140382767,
-0.24082309007644653,
-0.5566315054893494,
-0.36431801319122314,
-0.3110586404800415,
0.5319161415100098,
-0.5149675607681274,
0.19311316311359406,
-0.05835486203432083,
-0.010592607781291008,
0.309592068195343,
0.8620168566703796,
0.13962361216545105,
-0.19347549974918365,
-0.4786561131477356,
-0.18026861548423767,
-0.007408525794744492,
-0.2584669888019562,
0.5578858852386475,
0.2700546085834503,
0.11070750653743744,
0.18555918335914612,
-0.7482016682624817,
-0.9194390177726746,
0.2663830518722534,
-0.5242679715156555,
0.0065083010122179985,
-0.6902929544448853,
-0.707426905632019,
-0.4245140254497528,
-0.5183418393135071,
0.11373742669820786,
0.23962411284446716,
0.0026607834734022617,
-0.1968519538640976,
-0.4880138635635376,
-0.37768280506134033,
0.4301609694957733,
-0.2361290603876114,
0.3127749264240265,
-0.06175670772790909,
-0.3892515003681183,
-0.12481571733951569,
-0.2144719511270523,
-0.4449456036090851,
-0.448516845703125,
0.2814483344554901,
-0.20268096029758453,
0.738842785358429,
0.17531393468379974,
0.8244403600692749,
-0.7145869731903076,
-0.26555827260017395,
-0.01703949272632599,
-0.0198803823441267,
-0.560429573059082,
0.582538366317749,
-0.7275665402412415,
0.670747697353363,
0.5688995718955994,
-0.5608740448951721,
0.04811375215649605,
0.6676645874977112,
-0.9226382970809937,
0.7620980739593506,
-0.5010366439819336,
0.9565427303314209,
-0.136058047413826,
-0.3246999680995941,
0.206907257437706,
0.9820345640182495,
-1.0191519260406494,
-0.5694733262062073,
0.3167554438114166,
0.777554452419281,
0.37790945172309875,
-0.37357085943222046,
0.28926920890808105,
0.6878781318664551,
0.11608593910932541,
0.257114440202713,
-0.338393896818161,
0.009578029625117779,
-0.5282185673713684,
0.5481202602386475,
-0.03098384477198124,
-0.6746260523796082,
0.07863685488700867,
-1.2841620445251465,
1.0221768617630005,
0.8510204553604126,
0.07909758388996124,
-0.23687392473220825,
0.5424429774284363,
0.2957098186016083,
-0.7716267704963684,
0.42058709263801575,
-0.46654054522514343,
1.0044986009597778,
0.6237664222717285,
0.24388724565505981,
0.13614805042743683,
-0.012185219675302505,
-0.4452125132083893,
0.4232051372528076,
-0.2540012300014496,
0.16872245073318481,
-0.603995680809021,
-0.599550187587738,
-0.6724002361297607,
-0.4570472538471222,
-0.0012051946250721812,
0.02524506114423275,
-0.16121864318847656,
0.626194179058075,
0.48323482275009155,
-0.0014680360909551382,
0.2175421565771103,
-0.0782889574766159,
-0.5067976117134094,
0.5106433033943176,
-0.40854063630104065,
-0.14600799977779388,
-0.47597000002861023,
-0.5565625429153442,
0.7899951338768005,
0.4657590091228485,
-0.6689083576202393,
-0.5025792717933655,
-0.720224916934967,
0.3765445351600647,
-0.36751851439476013,
-0.186920166015625,
-0.32740652561187744,
0.17311358451843262,
-0.1106727346777916,
0.16629453003406525,
-0.503088653087616,
-0.271619588136673,
-0.40042540431022644,
-0.2989662289619446,
0.6505476236343384,
-0.12723350524902344,
-0.4289933145046234,
0.6740924715995789,
0.26572611927986145,
-0.4989907443523407,
0.534599244594574,
0.4074213206768036,
0.696904718875885,
0.00281964591704309,
-0.43449458479881287,
-0.7537333369255066,
0.34102433919906616,
-0.3968479633331299,
0.23534972965717316,
0.3283417224884033,
0.20021803677082062,
-0.1661774218082428,
0.08351143449544907,
0.10994275659322739,
0.11464234441518784,
0.09943357855081558,
-0.3479326069355011,
-0.12955047190189362,
0.07418960332870483,
0.7086319327354431,
-0.14875705540180206,
0.5571699142456055,
0.6404297351837158,
0.5015866160392761,
-0.3971047103404999,
-0.7275392413139343,
-0.5382408499717712,
-0.18691027164459229,
-0.7183079719543457,
-1.3172767162322998,
-0.42415592074394226,
0.49185141921043396,
0.28793132305145264,
0.32197344303131104,
0.7029452323913574,
0.16781839728355408,
0.7622225880622864,
0.17080432176589966,
-0.5892134308815002,
0.6305758953094482,
0.448436439037323,
0.39882200956344604,
-0.5431650876998901,
0.7182048559188843,
0.583726167678833,
0.758845865726471,
-0.30455952882766724,
-0.3622017502784729,
-0.3490215241909027,
1.4225972890853882,
-1.5464171171188354,
0.12219642102718353,
0.00987075176090002,
-0.1771513968706131,
-0.009628874249756336,
-1.1252254247665405,
0.5016425251960754,
-0.4969837963581085,
0.03819839656352997,
0.8782275319099426,
-0.4914701581001282,
0.008661068975925446,
0.20104530453681946,
0.16060610115528107,
0.5128319263458252,
0.41841891407966614,
-0.11958349496126175,
-0.7437262535095215,
0.9972754716873169,
0.5141119956970215,
0.6490347385406494,
0.15190711617469788,
-0.19632206857204437,
-0.4656575918197632,
-0.373098224401474,
0.1686393916606903,
0.010575777851045132,
0.895185649394989,
-0.3953155279159546,
0.01851322315633297,
0.1791037768125534,
-0.18135979771614075,
-0.5871173143386841,
0.463110089302063,
0.0010128559079021215,
0.4595692455768585,
0.07221134752035141,
-0.24455507099628448,
0.11816161125898361,
-0.042043536901474,
0.01687200553715229,
-0.07646971195936203,
0.18294553458690643,
-0.6914592981338501,
-0.9490303993225098,
0.23473744094371796,
0.26060935854911804,
-0.24429048597812653,
-0.15507255494594574,
-0.5322813987731934,
0.0678749829530716,
0.10040971636772156,
-0.7803686857223511,
-0.8015443682670593,
-0.30034416913986206,
0.37155312299728394,
0.7590222358703613,
1.0166897773742676,
0.3416719138622284,
-0.5730187892913818,
-0.4285898208618164,
0.06496260315179825,
0.5401841998100281,
0.4578939378261566,
0.3979925215244293,
0.47377508878707886,
-0.06522437185049057,
-0.32523971796035767,
0.27267101407051086,
0.1885884404182434,
-0.23775233328342438,
-0.0640440359711647,
0.18383347988128662,
-0.058544859290122986,
-0.2339002788066864,
-0.33349329233169556,
0.1006399542093277,
0.9960945248603821,
0.7222356200218201,
-0.0827941820025444,
0.1638939380645752,
-0.08420748263597488,
-0.4636954367160797,
-0.1181708574295044,
-0.1899416446685791,
0.1822388768196106,
1.2094391584396362,
-0.029471196234226227,
0.20353692770004272,
-0.3292698562145233,
4.2884321212768555,
0.4728666841983795,
1.1831181049346924,
-0.798891544342041,
0.4908936321735382,
0.2837590277194977,
0.19386209547519684,
-1.109131097793579,
0.06148093566298485,
-0.4174794852733612,
0.5010475516319275,
0.11751651763916016,
1.0758557319641113,
-0.10240868479013443,
-0.1992182731628418,
0.5762964487075806,
-0.004490367602556944,
-0.3949127495288849,
0.655471920967102,
-0.8457791805267334,
-0.3175218403339386,
-0.5166198015213013,
-0.6336291432380676,
-0.07350955158472061,
0.45100849866867065,
0.04687691852450371,
0.13776734471321106,
-0.20081350207328796,
-0.08206034451723099,
-0.37501081824302673,
-0.661855161190033,
-0.35483449697494507,
0.41722655296325684,
-0.45784828066825867,
-0.5472888350486755,
0.9449731111526489,
0.11661877483129501,
-0.18874691426753998,
0.25149109959602356,
-0.21947410702705383,
-0.1286742091178894,
-0.5787519216537476,
0.21547028422355652,
-0.5909305810928345,
-0.2629469037055969,
0.7663584351539612,
0.9892685413360596,
0.5276373028755188,
0.9833145141601562,
-0.9232667088508606,
0.258640855550766,
-0.015342322178184986,
-0.3752189874649048,
0.5022051334381104,
-0.9769181609153748,
0.28880196809768677,
-0.05967015027999878,
-1.1371872425079346,
0.20758315920829773,
-0.4351007342338562,
1.330087423324585,
-0.05320942401885986,
-0.2408982813358307,
0.9205644726753235,
-0.6034895181655884,
0.8161205053329468,
0.028913024812936783,
0.013162855058908463,
-0.689523458480835,
-0.6400464773178101,
-0.5715972781181335,
-0.40575966238975525,
-0.4454937279224396,
0.91661137342453,
0.21786412596702576,
-0.1576087921857834,
0.3437109887599945,
0.016393473371863365,
0.13875354826450348,
0.480953574180603,
0.4919726848602295,
0.24385204911231995,
-1.0957684516906738,
0.28850215673446655,
-0.20594434440135956,
0.42735588550567627,
-0.28715312480926514,
-0.9819654226303101,
-0.2704418897628784,
0.7926222085952759,
0.46525782346725464,
0.9489098787307739,
-0.3395436108112335,
-0.03830328956246376,
-0.6728706359863281
] |
hep-th/0502135
|
Eugeny Babichev
|
E. Babichev and M. Kachelriess
|
Constraining cosmic superstrings with dilaton emission
|
10 pages, 3 figures; v2: Fig 1 is corrected
|
Phys.Lett. B614 (2005) 1-6
|
10.1016/j.physletb.2005.03.053
|
MPP-2005-11
|
hep-th astro-ph
| null |
Brane inflation predicts the production of cosmic superstrings with tension
10^{-12}<G\mu<10^{-7}. Superstring theory predicts also the existence of a
dilaton with a mass that is at most of the order of the gravitino mass. We show
that the emission of dilatons imposes severe constraints on the allowed
evolution of a cosmic superstring network. In particular, the detection of
gravitational wave burst from cosmic superstrings by LIGO is only possible if
the typical length of string loops is much smaller than usually assumed.
|
[
{
"version": "v1",
"created": "Tue, 15 Feb 2005 13:06:49 GMT"
},
{
"version": "v2",
"created": "Fri, 6 May 2005 15:28:54 GMT"
}
] | 2009-11-11T00:00:00
|
[
[
"Babichev",
"E.",
""
],
[
"Kachelriess",
"M.",
""
]
] |
[
0.017591338604688644,
0.5194905400276184,
0.1187666803598404,
0.22069598734378815,
0.030957818031311035,
-0.06627986580133438,
-0.5818605422973633,
-0.314287930727005,
-0.2788306176662445,
1.2162905931472778,
0.715506374835968,
-0.4696340560913086,
0.01868201233446598,
-0.5993373990058899,
-0.40371304750442505,
0.5513318181037903,
0.08904682844877243,
-0.9346107840538025,
-1.4511672258377075,
0.08198021352291107,
-0.01237634476274252,
0.17101606726646423,
-1.2074495553970337,
-0.2349880188703537,
-0.5493414998054504,
1.0587390661239624,
0.4245002269744873,
0.5330248475074768,
1.0870009660720825,
0.570239245891571,
0.20516102015972137,
-0.34120792150497437,
0.3512183129787445,
-0.2784392833709717,
-0.5581892728805542,
0.012705701403319836,
-0.4568940997123718,
-0.2813553214073181,
0.5198557376861572,
-0.29163166880607605,
0.40038034319877625,
0.031776148825883865,
0.7031508088111877,
-0.7778912782669067,
-0.7856526374816895,
-0.052648089826107025,
0.4999399185180664,
0.30370479822158813,
0.4797169864177704,
-0.8445373773574829,
-0.48498913645744324,
0.22776219248771667,
0.25586050748825073,
-0.7386305928230286,
0.3827880322933197,
-0.19881299138069153,
0.32023411989212036,
0.1043206974864006,
-0.8724104166030884,
-0.1995655745267868,
0.34911853075027466,
0.222753643989563,
0.5042091608047485,
-0.621471107006073,
-0.1613883525133133,
1.2612241506576538,
0.22670485079288483,
0.05040036141872406,
0.3386586904525757,
-0.8709567189216614,
-0.1230132132768631,
0.43926823139190674,
-0.7138317823410034,
0.15571627020835876,
-0.08412111550569534,
0.34076061844825745,
-0.18331046402454376,
0.3795003890991211,
-1.0517042875289917,
-0.2565538287162781,
0.08809836953878403,
0.11085274815559387,
0.18150199949741364,
0.08546127378940582,
-0.19731980562210083,
-1.4963090419769287,
0.16722381114959717,
-0.3242718577384949,
0.07463555037975311,
0.05440962687134743,
-0.6934258341789246,
0.27058130502700806,
-0.6804981231689453,
0.6995766162872314,
1.0259464979171753,
0.06845162808895111,
-0.39367109537124634,
0.39273637533187866,
-0.23083922266960144,
0.4628555476665497,
0.13647960126399994,
1.0156617164611816,
-0.8906682729721069,
0.7313899993896484,
-1.1838977336883545,
0.48491546511650085,
0.22692251205444336,
0.5202805399894714,
-0.21886764466762543,
-1.1973884105682373,
0.02663113735616207,
0.010438831523060799,
0.37884408235549927,
0.4145655333995819,
0.2599095106124878,
0.2191852182149887,
-0.5274975299835205,
0.6310045123100281,
-0.47291654348373413,
-0.6170082092285156,
0.01460187416523695,
0.21354015171527863,
0.2221013456583023,
0.5250973105430603,
-0.2784392535686493,
-0.04095575958490372,
0.20637010037899017,
0.33588656783103943,
-0.8464065790176392,
0.4389529824256897,
0.4080921709537506,
-0.3595335781574249,
0.0175394918769598,
0.8908472061157227,
-0.0449683777987957,
0.30093249678611755,
0.33994579315185547,
0.9859933257102966,
-0.019561897963285446,
-0.7630250453948975,
0.4826962351799011,
-0.12405095249414444,
-0.18731945753097534,
1.6339751482009888,
-1.0881541967391968,
-0.26162782311439514,
0.2524419128894806,
0.18733419477939606,
-0.39517444372177124,
0.14699365198612213,
0.07124247401952744,
-0.053556814789772034,
0.37722375988960266,
0.9258872270584106,
-0.3508527874946594,
0.34533563256263733,
-1.3428969383239746,
-0.011213932186365128,
-0.006863156799226999,
-0.6310981512069702,
0.35244008898735046,
0.14882436394691467,
-0.12776562571525574,
0.48887088894844055,
-0.31227225065231323,
0.18861164152622223,
-0.774677574634552,
-0.22335092723369598,
0.658447802066803,
0.08571537584066391,
-0.5480911135673523,
0.15989552438259125,
-0.2607864439487457,
0.9056668877601624,
0.7261552214622498,
0.41575947403907776,
0.38039934635162354,
-0.06826243549585342,
-0.29932159185409546,
0.0955888032913208,
0.33481359481811523,
0.0024184288922697306,
0.3173966705799103,
0.4571579098701477,
-0.06228797137737274,
0.254050076007843,
-0.009109818376600742,
-0.1504921168088913,
0.7400912642478943,
-0.08122318238019943,
-0.30392026901245117,
0.7520197629928589,
-0.9508343935012817,
0.43093788623809814,
-0.7621484398841858,
0.3684315085411072,
-0.9796007871627808,
0.24481385946273804,
-0.5967496633529663,
-0.29644039273262024,
0.9985918998718262,
0.29724475741386414,
-0.42819809913635254,
0.7253972887992859,
-0.833563506603241,
-0.0066395471803843975,
0.7892457246780396,
0.7530421018600464,
-1.2138965129852295,
0.16891008615493774,
0.2279859185218811,
-0.19811199605464935,
0.4086264967918396,
0.7903451323509216,
0.6617839932441711,
-0.0021613549906760454,
-0.6647369861602783,
0.3491070568561554,
0.37628889083862305,
-0.2357044219970703,
0.28449124097824097,
0.034661222249269485,
0.47020068764686584,
0.4626128673553467,
-0.32859888672828674,
-0.4197311997413635,
0.8289881944656372,
0.728155791759491,
-0.08271576464176178,
0.2922440469264984,
-0.004147845320403576,
-0.028670724481344223,
0.6218509674072266,
0.22417984902858734,
0.5171523094177246,
-0.3984386920928955,
0.4512428641319275,
0.88616544008255,
-0.3677749037742615,
-0.41842418909072876,
0.054958611726760864,
0.07842372357845306,
-0.13110703229904175,
0.4647911787033081,
-0.507738471031189,
0.017017222940921783,
0.10992848873138428,
0.14219549298286438,
-0.3415781557559967,
-0.039952944964170456,
-0.7747821807861328,
0.7306646108627319,
0.49991461634635925,
0.15612928569316864,
-1.4181513786315918,
-0.20806342363357544,
-0.2450563907623291,
0.19861280918121338,
-0.007887759245932102,
0.0018854490481317043,
-0.2670520842075348,
0.11476822197437286,
-0.14667871594429016,
-0.44549840688705444,
0.15433552861213684,
-0.4297264516353607,
-0.10444421321153641,
0.18997852504253387,
0.580373227596283,
-0.042874351143836975,
-1.060037612915039,
-0.3286867141723633,
0.014848941005766392,
-0.4583699703216553,
-0.6855682730674744,
0.16220207512378693,
0.15800942480564117,
-1.3447070121765137,
0.4113703966140747,
0.09783044457435608,
0.22602561116218567,
0.14569535851478577,
-0.6624862551689148,
-0.25131022930145264,
-0.17194430530071259,
0.2553439438343048,
-0.8190575242042542,
-0.10485396534204483,
-1.0506107807159424,
1.0193357467651367,
-0.3171853721141815,
-0.27546226978302,
-0.0684976875782013,
0.06840331852436066,
0.41390055418014526,
0.5770135521888733,
-0.4301053583621979,
0.012816566042602062,
0.33663254976272583,
-0.4030468761920929,
0.6701921820640564,
-0.15266843140125275,
-0.3037852346897125,
-0.342189759016037,
-1.0528161525726318,
0.6467065215110779,
0.17904123663902283,
0.059357255697250366,
0.5645603537559509,
0.20403271913528442,
-0.43108049035072327,
0.5427364110946655,
-0.1156877651810646,
0.4368496239185333,
-0.19481776654720306,
0.09298207610845566,
-0.020701022818684578,
-0.1157299354672432,
-0.06739851832389832,
-0.9193716645240784,
-1.0958647727966309,
-0.14734132587909698,
0.41142961382865906,
-0.7412847876548767,
0.3260520398616791,
1.2716184854507446,
-0.14154495298862457,
-0.5637533068656921,
0.41600507497787476,
-0.6480414271354675,
-0.3534665107727051,
0.35393255949020386,
0.0290257316082716,
0.7165384888648987,
0.23163501918315887,
0.5494095087051392,
0.056663163006305695,
-0.4234800934791565,
-0.973347008228302,
0.16473208367824554,
0.49866461753845215,
0.0670061707496643,
-0.5656031966209412,
0.9143584370613098,
-0.2897310256958008,
-0.5379084944725037,
0.971112847328186,
-0.07321794331073761,
-0.3389136493206024,
0.1872304379940033,
-0.2942158281803131,
0.11982946842908859,
0.4474544823169708,
0.4156688451766968,
-0.23191560804843903,
-0.13830317556858063,
0.06310807168483734,
0.007910826243460178,
-0.7401289343833923,
-0.17448417842388153,
-0.44490277767181396,
-0.10284976661205292,
0.14266343414783478,
-0.30577191710472107,
-0.3949718475341797,
-0.6776373982429504,
-0.18597489595413208,
-0.04538822919130325,
0.21478812396526337,
-0.9698986411094666,
-0.021937495097517967,
-0.23365527391433716,
-0.8029205799102783,
0.027587298303842545,
-0.02917897142469883,
-0.23075386881828308,
0.5872166752815247,
-0.31405800580978394,
0.23694345355033875,
0.005432732868939638,
0.14876355230808258,
0.18432365357875824,
0.5889200568199158,
0.43613773584365845,
0.2989487946033478,
0.013062317855656147,
-0.12308534979820251,
-0.42802944779396057,
-0.32106849551200867,
-0.19145432114601135,
-0.26245778799057007,
-0.4376266896724701,
0.019945982843637466,
-0.4095572233200073,
-0.534212589263916,
0.22955146431922913,
0.10618215054273605,
0.43129295110702515,
-0.42720961570739746,
0.1452699601650238,
-0.009080016985535622,
-0.4132190942764282,
-0.07286570966243744,
0.2482708841562271,
-0.22539669275283813,
0.8847840428352356,
-0.6965380907058716,
-0.03690338879823685,
0.01216559112071991,
0.40006521344184875,
0.24278107285499573,
-0.5195149183273315,
-0.021799927577376366,
-0.42175042629241943,
0.5606393218040466,
0.08997750282287598,
-0.4856564402580261,
0.8128141164779663,
0.10973332077264786,
0.44288796186447144,
-0.874901294708252,
1.0443626642227173,
-0.03720852732658386,
0.5350499153137207,
-0.16275236010551453,
-0.2841257154941559,
-0.23165568709373474,
-0.31267663836479187,
0.31148838996887207,
0.5939946174621582,
-0.5008772015571594,
-0.7095311880111694,
-0.5296051502227783,
0.07047361880540848,
0.13704706728458405,
0.36513999104499817,
1.1306875944137573,
0.16462698578834534,
0.14882466197013855,
-0.3134141266345978,
0.47467684745788574,
0.5499651432037354,
-0.09525126218795776,
-0.1843308061361313,
0.07190434634685516,
0.28260642290115356,
-0.3674388825893402,
0.06543055176734924,
-0.1410933881998062,
-1.2081831693649292,
-0.5305390954017639,
-0.927264392375946,
0.5051184296607971,
-0.0954798236489296,
-0.7615402936935425,
0.5789996385574341,
0.08479272574186325,
-0.10210611671209335,
0.10253888368606567,
-0.31604593992233276,
-0.40881046652793884,
-0.27888983488082886,
-0.22912001609802246,
-0.5514580607414246,
-0.646127462387085,
-0.11016874015331268,
-0.30345702171325684,
0.3008241355419159,
0.6528551578521729,
0.42326101660728455,
0.22979573905467987,
0.33892109990119934,
0.48068666458129883,
-0.4551178216934204,
0.14082585275173187,
-0.20838575065135956,
0.09435910731554031,
-0.5709181427955627,
-0.2503856122493744,
-0.5907030701637268,
-0.4014894366264343,
0.6297297477722168,
0.07543288916349411,
-0.6347132325172424,
0.3473482131958008,
-0.1406414657831192,
-0.5581562519073486,
-0.3346066176891327,
-0.9425254464149475,
0.979520320892334,
-0.3681536614894867,
-0.1657162606716156,
0.3837081789970398,
-0.4506949186325073,
-0.19088369607925415,
-0.29764625430107117,
-0.06755140423774719,
-0.6775667667388916,
0.04136435687541962,
0.418633371591568,
1.1051642894744873,
0.6538845896720886,
-0.6804814338684082,
0.9995734691619873,
-0.31015458703041077,
-0.3568972945213318,
-0.5142756700515747,
-0.6245303153991699,
-1.0078396797180176,
0.038259606808423996,
0.4459533095359802,
0.0260227769613266,
-0.16578203439712524,
-0.23631654679775238,
0.08657325059175491,
0.45988979935646057,
-0.36209723353385925,
-0.4623892307281494,
-0.10125728696584702,
0.1928853541612625,
0.668561577796936,
-0.2638232409954071,
-0.5792633295059204,
0.7416338920593262,
-0.24434678256511688,
0.5172504782676697,
-0.4039980471134186,
-0.4370426833629608,
0.4978187084197998,
-1.1747994422912598,
0.46430155634880066,
-0.5120923519134521,
0.04401947557926178,
-0.348224014043808,
-0.43053314089775085,
-0.48712775111198425,
0.3338910937309265,
-0.1476769894361496,
-0.7702443599700928,
-0.2014303058385849,
-0.4625978469848633,
0.9409708380699158,
-0.02748316153883934,
-0.21830812096595764,
-0.36104336380958557,
-0.08061882108449936,
-0.34231969714164734,
1.3371614217758179,
-0.21719706058502197,
-0.018390124663710594,
-0.1626085638999939,
-0.19580619037151337,
0.008836925029754639,
0.6996096968650818,
0.0054062954150140285,
0.012660364620387554,
-0.14812397956848145,
-0.14258955419063568,
0.17409271001815796,
0.34182310104370117,
-0.6500459909439087,
0.18483196198940277,
-0.4571484327316284,
0.28708556294441223,
-0.15716344118118286,
0.13138410449028015,
0.32597818970680237,
-0.2208857387304306,
0.7230015993118286,
-0.6417166590690613,
0.3232710361480713,
1.3648542165756226,
0.16326075792312622,
0.030720068141818047,
0.4823618233203888,
-0.1693054735660553,
-0.16208799183368683,
-0.8881071209907532,
-0.9165062308311462,
0.18039007484912872,
-0.024913208559155464,
-0.09002874791622162,
-0.16087307035923004,
-0.3281418979167938,
-0.14388860762119293,
-0.256364643573761,
0.12791353464126587,
0.03423638269305229,
-0.08538331091403961,
0.13990508019924164,
0.17562870681285858,
-0.13331489264965057,
-0.06568195670843124,
-0.27596527338027954,
0.1505311131477356,
-0.15164723992347717,
-0.3090362846851349,
-0.049041856080293655,
-0.37364065647125244,
-0.6958961486816406,
-0.3868522346019745,
0.3322775363922119,
0.8593403697013855,
-0.62882399559021,
0.9617378115653992,
-0.2517441511154175,
-0.5514838695526123,
-0.329678475856781,
0.1100342646241188,
0.7062597274780273,
-0.5405236482620239,
0.8087002635002136,
0.6594906449317932,
0.1033453419804573,
0.2123796045780182,
-0.30907580256462097,
-0.9211083054542542,
0.030825432389974594,
0.4519868791103363,
-1.2237263917922974,
0.48501813411712646,
0.7748838067054749,
0.4563809931278229,
-0.6384693384170532,
-1.278280258178711,
-1.2122136354446411,
-0.5698290467262268,
0.7272177934646606,
-0.5479868054389954,
-0.3498370945453644,
-0.48718899488449097,
-0.42745447158813477,
-0.17576904594898224,
0.30852746963500977,
1.0659165382385254,
0.10898280888795853,
-0.19060258567333221,
0.17026062309741974,
-0.6711058020591736,
0.7930063009262085,
0.9948784112930298,
0.43256083130836487,
-0.47190073132514954,
-0.365885853767395,
0.19281642138957977,
-0.7528257966041565,
-0.6596277356147766,
0.8880343437194824,
-0.44657599925994873,
0.4541172981262207,
0.33198344707489014,
0.1788053810596466,
0.4716282784938812,
-0.14332251250743866,
-0.3976847529411316,
0.7609115839004517,
-0.6367628574371338,
-0.9102018475532532,
0.08837763965129852,
-0.01999683305621147,
0.28316542506217957,
0.926498532295227,
-0.09468797594308853,
0.2604372203350067,
-0.6719887256622314,
-0.18864133954048157,
0.13989919424057007,
-0.41478627920150757,
-0.5764176249504089,
-0.7976880073547363,
-0.1728111058473587,
-0.5969241261482239,
-0.19591103494167328,
0.041285254061222076,
0.19739919900894165,
-1.0433093309402466,
0.46562981605529785,
-0.04703712463378906,
0.3050479292869568,
-0.0777314305305481,
0.8693116903305054,
-0.3577592074871063,
-0.7654908299446106,
-0.5610201358795166,
0.5319660902023315,
0.3030557632446289,
-1.4525091648101807,
-0.40265557169914246,
-0.4365960359573364,
-0.0963488221168518,
1.248042345046997,
-0.3606559932231903,
0.40187710523605347,
-0.6893268823623657,
-0.20477981865406036,
-0.5898303985595703,
-0.21845076978206635,
-0.7818934917449951,
0.6362378001213074,
-0.15148329734802246,
0.9845273494720459,
0.7274785041809082,
-0.8215378522872925,
0.20708201825618744,
-0.025566155090928078,
-0.6459611654281616,
0.25978630781173706,
0.045771922916173935,
0.3119823932647705,
0.7259098291397095,
-0.2111300528049469,
0.19259437918663025,
0.974667489528656,
-0.8010479807853699,
-0.08651529997587204,
-1.1266345977783203,
0.6629314422607422,
-0.22679735720157623,
0.29803282022476196,
0.5754067897796631,
0.27313855290412903,
-0.8122281432151794,
0.17758648097515106,
-0.845005452632904,
0.3432921767234802,
-0.27931344509124756,
1.0274031162261963,
0.23578941822052002,
-0.16956570744514465,
0.2400549054145813,
-0.974391520023346,
0.780128002166748,
0.31620240211486816,
0.021133575588464737,
-0.3302014172077179,
0.3971380293369293,
0.04288635030388832,
0.40458396077156067,
0.4786556661128998,
-0.3854734003543854,
0.4462890625,
0.17659658193588257,
0.2672611176967621,
0.10733507573604584,
0.0029192063957452774,
-0.7326321601867676,
-0.014898913912475109,
-0.3136923611164093,
-0.37418195605278015,
0.15840931236743927,
-0.1806262731552124,
-0.4905407428741455,
0.2782801389694214,
-0.06937124580144882,
-0.01455136388540268,
-0.5838599801063538,
0.82452791929245,
1.0825194120407104,
0.658007025718689,
0.14045238494873047,
0.53699791431427,
-0.7007632255554199,
-0.38559162616729736,
-0.3363149166107178,
0.2919663190841675,
-1.3442353010177612,
-0.559579074382782,
-0.13046175241470337,
-0.12230091542005539,
0.0024788647424429655,
0.26888173818588257,
0.07446625828742981,
-0.4062801003456116,
-0.20087510347366333,
0.15408849716186523,
-1.1720253229141235,
-0.4113660752773285,
-0.6707944273948669,
0.5397012829780579,
-0.07594567537307739,
-0.5052585601806641,
0.957798182964325,
0.038815367966890335,
0.6654213070869446,
0.32177141308784485,
-0.7387662529945374,
1.1972497701644897,
0.3092442750930786,
-0.36411216855049133,
0.30540311336517334,
0.2593655586242676,
0.19163820147514343,
0.9946799278259277,
-0.4848209023475647,
0.17018064856529236,
0.3910488188266754,
0.4915044605731964,
1.0565513372421265,
-0.19560541212558746,
0.1359943449497223,
0.005077255889773369,
-0.528242290019989,
0.08636230230331421,
0.448943167924881,
-0.4538434147834778,
-0.3689100444316864,
-0.06650242209434509,
-0.6325350999832153,
0.10783855617046356,
0.14800354838371277,
-0.034275930374860764,
0.2785849869251251,
0.03539937734603882,
0.11849924921989441,
-0.042625293135643005,
-0.4088919758796692,
0.1299828737974167,
-0.360592782497406,
-0.7638318538665771,
-0.3461502194404602,
-0.3070726692676544,
0.7199962735176086,
0.13169650733470917,
-0.2275514006614685,
0.4069543182849884,
-0.01671821065247059,
-0.017633376643061638,
-0.15153206884860992,
0.24356725811958313,
0.32117557525634766,
0.8148264288902283,
0.45400843024253845,
0.6940993070602417,
-0.1916857361793518,
0.7478474974632263,
-0.1558363288640976,
-0.8967173099517822,
-0.13418807089328766,
0.8545656800270081,
-0.5263341665267944,
-0.037572719156742096,
0.07237200438976288,
-0.1397731453180313,
-0.4180859923362732,
-0.15837307274341583,
0.11712639033794403,
-0.3369995653629303,
0.027171095833182335,
0.471874862909317,
0.2800751328468323,
0.06455598026514053,
0.25807759165763855,
-0.1612701416015625,
1.0629677772521973,
0.4350184500217438,
0.4497654438018799,
-0.2754517197608948,
0.9326040148735046,
0.5091235041618347,
0.37238189578056335,
0.5578312277793884,
-0.4547019898891449,
-0.41711097955703735,
0.061712078750133514,
0.34119829535484314,
-0.3812432289123535,
0.31606724858283997,
-0.7907382249832153,
-0.19460350275039673,
-0.13813723623752594,
0.37729406356811523,
0.2044437974691391,
-0.15319181978702545,
0.5113019943237305,
0.2086547166109085,
-0.814342200756073,
-0.34320539236068726,
0.9621570110321045,
0.4012994170188904,
-0.5199882984161377,
-0.5152640342712402,
0.08182943612337112,
-0.376788854598999,
-0.2140282243490219,
-0.8131652474403381,
0.5281009674072266,
-0.14742115139961243,
0.09415872395038605,
0.10804177820682526,
-0.09974560141563416,
-0.4993663728237152,
-0.8715349435806274,
-0.17923064529895782,
-0.33762919902801514,
0.3419421911239624,
1.0403457880020142,
-0.01140139251947403,
0.17301008105278015,
-0.6893439292907715,
-0.4889014959335327,
-0.11999977380037308,
0.7806687951087952,
-0.3128606677055359,
0.11512040346860886,
0.10272066295146942,
0.10468515753746033,
-0.9786111116409302,
0.8054804801940918,
0.2668973207473755,
-0.05274130776524544,
0.6818896532058716,
-0.5715936422348022,
0.4510391056537628,
-0.5096649527549744,
-0.4877440631389618,
0.25511062145233154,
0.1662575751543045,
0.5217763185501099,
0.19435974955558777,
-0.3780476748943329,
-0.0677189752459526,
-0.41617217659950256,
-0.138346865773201,
-0.619695246219635,
0.4336727559566498,
-0.03594658151268959,
-0.3629683554172516,
0.7185010313987732,
-1.2239482402801514,
4.182245254516602,
0.5502753853797913,
1.04901123046875,
-0.14327272772789001,
0.16452652215957642,
1.0682681798934937,
-0.006901453249156475,
0.10849414765834808,
0.11020071804523468,
0.07933906465768814,
0.15294712781906128,
0.5307638049125671,
0.3379993438720703,
0.6424341201782227,
0.1600998044013977,
0.8110886812210083,
0.48262420296669006,
-0.5712785720825195,
-0.6610810160636902,
-0.020683536306023598,
-1.2336093187332153,
0.35798364877700806,
0.4903416633605957,
-0.46501168608665466,
0.2647673487663269,
0.14128749072551727,
-0.44073808193206787,
-0.047256723046302795,
-0.25295549631118774,
-0.016381673514842987,
0.6312972903251648,
-0.24032028019428253,
0.7932686805725098,
-0.06094777211546898,
-0.8556667566299438,
0.8888448476791382,
0.7966441512107849,
0.12161026149988174,
0.38563141226768494,
-0.17405422031879425,
-0.30294808745384216,
-0.5707805156707764,
-0.06211816519498825,
-0.6949662566184998,
-0.5592971444129944,
0.4118193984031677,
0.9860464930534363,
0.690561056137085,
0.8901455402374268,
-1.0604254007339478,
-0.17995937168598175,
0.21349170804023743,
-0.1129859983921051,
-0.9821686744689941,
-1.2839640378952026,
-0.36045312881469727,
-0.5494231581687927,
0.10687451809644699,
-0.6350896954536438,
-0.08226902037858963,
0.5253152847290039,
-0.1092194989323616,
-0.58469557762146,
0.4439224898815155,
-0.18797095119953156,
0.2385823130607605,
0.14801421761512756,
0.4485706686973572,
-0.17718163132667542,
-0.5782654881477356,
-0.8639118075370789,
-0.006477889604866505,
-0.0977763757109642,
-0.3257719576358795,
0.6832405924797058,
0.6694539785385132,
0.2694333493709564,
0.41771790385246277,
0.3234326243400574,
0.6787880659103394,
-0.3026476502418518,
0.21291851997375488,
-0.6784306764602661,
0.36177223920822144,
0.026914065703749657,
0.9677637219429016,
0.4992833137512207,
-0.08909672498703003,
-0.21120859682559967,
1.0262467861175537,
-0.20761515200138092,
0.48519065976142883,
0.10606962442398071,
-0.1317102015018463,
-0.05771569907665253
] |
1410.7099
|
Valery A. Lunts
|
Michael Larsen and Valery A. Lunts
|
Rationality of motivic zeta function and cut-and-paste problem
|
Comments and welcome
| null | null | null |
math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Assuming the positive solution to the Cut-and-paste problem we prove that the
motivic zeta function remains irrational after inverting L.
|
[
{
"version": "v1",
"created": "Sun, 26 Oct 2014 23:51:08 GMT"
}
] | 2014-10-28T00:00:00
|
[
[
"Larsen",
"Michael",
""
],
[
"Lunts",
"Valery A.",
""
]
] |
[
-0.08941242843866348,
-0.14187252521514893,
0.1205560714006424,
-0.13542914390563965,
-0.24502742290496826,
-0.5071630477905273,
0.14165917038917542,
0.3501659631729126,
-0.3673376441001892,
0.6034976840019226,
0.7034836411476135,
0.36299994587898254,
-0.11105001717805862,
-0.10928107053041458,
-0.44596225023269653,
1.2848703861236572,
-0.07146191596984863,
-0.43793779611587524,
-0.4824577569961548,
0.2464299201965332,
0.8335958123207092,
-0.3304421901702881,
-0.5139968991279602,
-0.21086485683918,
0.007889972999691963,
0.47665759921073914,
0.18517303466796875,
0.15043146908283234,
0.5002152323722839,
0.6543728709220886,
0.9339707493782043,
0.5286359786987305,
0.40998610854148865,
0.06378716975450516,
-0.053514737635850906,
-0.9990316033363342,
-0.20152467489242554,
0.18868471682071686,
0.11610941588878632,
-0.4940325617790222,
0.7479994893074036,
-0.41505661606788635,
-0.10375487804412842,
-0.21177935600280762,
-0.6704578995704651,
-0.7730758786201477,
-0.9501517415046692,
-0.6773265600204468,
0.17459599673748016,
-0.8192291259765625,
-0.3270631432533264,
-0.07772853225469589,
0.4096689224243164,
-0.33292150497436523,
-0.13818573951721191,
0.1745685189962387,
1.2221407890319824,
-0.5821636915206909,
-0.521877646446228,
0.6072072386741638,
0.14873820543289185,
0.19738832116127014,
0.09483638405799866,
-0.508212149143219,
-0.20344465970993042,
0.3748660087585449,
-0.4284389913082123,
-0.27898985147476196,
-0.03014504164457321,
-0.68621826171875,
-0.7391374707221985,
-0.008528008125722408,
-0.5439386367797852,
0.24469053745269775,
-0.253477543592453,
0.870971143245697,
-0.15385285019874573,
-0.45103728771209717,
-0.5068681836128235,
0.5328980684280396,
0.10306059569120407,
-0.13330252468585968,
-0.87180095911026,
0.5787490010261536,
-0.6969423294067383,
0.07999468594789505,
0.021809246391057968,
0.1571688950061798,
-0.3467373251914978,
-0.2583172023296356,
0.14402087032794952,
0.6912976503372192,
0.28885623812675476,
0.2981261610984802,
0.36488789319992065,
0.8587230443954468,
0.6417929530143738,
0.2872805893421173,
0.3741448223590851,
-0.059188809245824814,
0.48709532618522644,
0.40754133462905884,
-0.8900658488273621,
0.6482876539230347,
-0.42367032170295715,
0.47448015213012695,
-0.5145848989486694,
0.6471920609474182,
-0.6233990788459778,
0.37733614444732666,
0.3131788969039917,
-1.1010288000106812,
0.3892565369606018,
0.32954540848731995,
-0.23678508400917053,
0.29191458225250244,
-0.16542336344718933,
0.2165403515100479,
-0.9129056930541992,
-0.7932640910148621,
0.7902066707611084,
0.31024959683418274,
0.3387525677680969,
0.023930365219712257,
-0.20962786674499512,
0.8084133267402649,
-0.1744402050971985,
1.2675678730010986,
-0.9259428381919861,
0.1611838936805725,
0.1697511076927185,
0.34547480940818787,
-0.004727132618427277,
0.4396721124649048,
-0.36650392413139343,
-0.07527615875005722,
-0.5847543478012085,
-0.09304513782262802,
-0.09697876870632172,
0.20366092026233673,
0.32083258032798767,
-0.23342809081077576,
-0.3894413709640503,
1.148350477218628,
-0.48874494433403015,
-0.2656969428062439,
0.7837358713150024,
0.7997257113456726,
0.035123154520988464,
0.4148732125759125,
-0.8736976385116577,
-0.2539893686771393,
-0.08676748722791672,
0.333766907453537,
-0.31795817613601685,
0.009499573148787022,
-1.086605429649353,
-0.36810731887817383,
-0.13955508172512054,
-0.4000450372695923,
0.14859414100646973,
0.13701125979423523,
-0.20320381224155426,
0.7888575792312622,
-0.04397815838456154,
0.7545689940452576,
-1.174885630607605,
-0.8969388008117676,
0.33170264959335327,
-0.6206486225128174,
-0.027553951367735863,
-0.024775540456175804,
-0.7127155661582947,
-0.006321432068943977,
0.4924834370613098,
1.2021347284317017,
0.3198869228363037,
-1.2468924522399902,
0.12099869549274445,
0.0898028314113617,
-0.46553224325180054,
0.03472420573234558,
-0.18371814489364624,
0.5594133734703064,
-0.09325488656759262,
-0.029281320050358772,
0.5045332908630371,
-0.4439639747142792,
-0.10441919416189194,
0.009110811166465282,
0.04240906611084938,
0.993159294128418,
-0.40310102701187134,
1.179242491722107,
0.3029087483882904,
0.09075432270765305,
-0.49162042140960693,
-0.09952768683433533,
-1.0957105159759521,
-0.6926556825637817,
-0.24517753720283508,
-0.05052332952618599,
-0.11439961940050125,
0.27076616883277893,
-1.2349202632904053,
-0.13676877319812775,
0.7117394804954529,
0.9170181751251221,
-0.14438669383525848,
-0.18008214235305786,
-0.3697550594806671,
0.707832932472229,
0.21124035120010376,
0.10946304351091385,
-0.6178947687149048,
0.037771377712488174,
0.9228174686431885,
0.8528364300727844,
-0.05374348163604736,
0.8917986750602722,
-0.053398098796606064,
1.14712393283844,
-0.8164114356040955,
0.4978906214237213,
0.021847181022167206,
-0.3284987211227417,
0.5604063868522644,
1.0062731504440308,
-0.3393026888370514,
-0.13882173597812653,
-0.710608959197998,
0.736265242099762,
0.2760930061340332,
0.03814190626144409,
-0.0018789042951539159,
-0.12263193726539612,
-0.08623769134283066,
1.0590503215789795,
-0.1519312709569931,
0.23066580295562744,
0.0004335136618465185,
1.0243566036224365,
1.2225453853607178,
-0.4379480183124542,
0.019563773646950722,
0.8904004693031311,
0.2416769415140152,
0.12390589714050293,
-0.6124846935272217,
0.3096899390220642,
-0.16885174810886383,
0.206930473446846,
-0.21079669892787933,
0.44914883375167847,
-1.1493792533874512,
-0.41205161809921265,
0.145087331533432,
0.5930537581443787,
0.17813967168331146,
-0.6690903902053833,
-0.25426530838012695,
-0.0877857431769371,
0.7231804132461548,
0.2934400141239166,
-0.14031243324279785,
0.5406991839408875,
0.7480971217155457,
0.16596893966197968,
0.06800053268671036,
0.033924609422683716,
-0.6897765398025513,
-0.4778003394603729,
-0.38546451926231384,
0.1600452959537506,
-0.37755003571510315,
0.36915403604507446,
0.0630219504237175,
-0.7919119596481323,
-0.13911579549312592,
-0.4222685396671295,
-0.6666767001152039,
0.35262560844421387,
-0.7873971462249756,
-0.06129518151283264,
0.4625799357891083,
0.2219455987215042,
-0.4338584244251251,
0.3966248035430908,
0.5897868871688843,
0.5401234030723572,
0.2960264980792999,
-0.826427698135376,
0.42106136679649353,
-0.4345829486846924,
-0.1535373479127884,
0.61646568775177,
-0.3103240132331848,
-0.007616262882947922,
-0.1878080666065216,
-0.40595290064811707,
-0.09601351618766785,
0.3994080424308777,
0.622144877910614,
-0.5149102210998535,
0.11863096058368683,
0.4571114480495453,
0.0439641959965229,
-0.6999273300170898,
-0.024665378034114838,
0.45116597414016724,
-0.14539574086666107,
0.25692108273506165,
-0.21532848477363586,
0.5674164891242981,
-0.4583171606063843,
0.36418643593788147,
-0.24195145070552826,
-0.28017792105674744,
-0.6361328959465027,
-0.7528635859489441,
0.5473628640174866,
0.3778122365474701,
-0.0751308798789978,
-0.20766490697860718,
0.6846681237220764,
0.3228958249092102,
0.8802573680877686,
-0.9217353463172913,
0.3179219961166382,
-0.2778848707675934,
-0.5940180420875549,
0.4330713748931885,
-0.7640833854675293,
0.9049267768859863,
0.5689210891723633,
-0.25125953555107117,
-0.02680729702115059,
-0.033047907054424286,
-0.15823876857757568,
-0.3263247311115265,
0.32432618737220764,
-0.33143776655197144,
-0.09629262238740921,
-0.04020022973418236,
0.24309135973453522,
0.6719998121261597,
-0.7322395443916321,
-0.5314810872077942,
-0.26865366101264954,
0.12011837959289551,
-0.009142094291746616,
0.8874143362045288,
0.20243395864963531,
1.1188730001449585,
0.06389892846345901,
0.2888067066669464,
-0.6125475764274597,
-0.2901480197906494,
-0.022154292091727257,
0.07633476704359055,
0.011286125518381596,
0.6661168336868286,
-0.2686743140220642,
-0.36625853180885315,
-0.37487274408340454,
-0.7510610818862915,
-0.8176450133323669,
0.5759084224700928,
0.9536253213882446,
-0.8272149562835693,
0.2456725537776947,
-0.0993671789765358,
-0.08451048284769058,
0.07342689484357834,
-0.254071980714798,
-0.21309809386730194,
0.0517224557697773,
0.035131510347127914,
0.3283562660217285,
-1.4608875513076782,
-0.08067359030246735,
-0.2452690750360489,
-0.4020440876483917,
0.11605650931596756,
0.4769085943698883,
0.3732892572879791,
-0.435932457447052,
-0.5655845403671265,
-0.12952886521816254,
-0.519668459892273,
-0.11504214257001877,
-0.5454122424125671,
0.4932708740234375,
-0.661001443862915,
-0.8854216933250427,
-0.14528481662273407,
0.5211436748504639,
0.040322668850421906,
0.3992372751235962,
-0.191930890083313,
-0.041525959968566895,
-0.10028991848230362,
0.2268373966217041,
0.6041587591171265,
-0.34565863013267517,
0.3087315261363983,
-0.462838351726532,
1.0039161443710327,
-0.45956936478614807,
-0.2951243221759796,
-0.3403123617172241,
-0.12326005846261978,
-0.13361722230911255,
-0.5128666758537292,
0.40657562017440796,
-0.052567459642887115,
-0.18180586397647858,
0.762830376625061,
0.28803256154060364,
0.11423877626657486,
-0.0880296528339386,
-0.2570013999938965,
0.3855290412902832,
0.6049827933311462,
1.044501781463623,
-0.9439488053321838,
-0.5734683275222778,
0.035099662840366364,
0.3795904517173767,
-0.23409895598888397,
0.5247288346290588,
-0.1304015964269638,
-0.5495248436927795,
-0.6945139169692993,
-1.203057050704956,
0.9173378944396973,
0.8950150012969971,
-0.054358746856451035,
-0.2142750471830368,
-1.1799594163894653,
0.31766581535339355,
0.5410089492797852,
-0.6597724556922913,
0.042455580085515976,
0.2229529470205307,
0.4532993733882904,
-0.27620431780815125,
0.5390679836273193,
-0.5931226015090942,
0.1726757138967514,
0.4309995174407959,
-0.7321628332138062,
0.5270268321037292,
-0.004281800705939531,
-0.2461765855550766,
-0.509798526763916,
-0.7683172225952148,
-0.7728504538536072,
0.5065503716468811,
-0.4035244286060333,
-0.16487063467502594,
-0.2745048999786377,
-0.21549595892429352,
-0.30606284737586975,
-0.2858724594116211,
0.35049137473106384,
-0.1558297574520111,
0.5842718482017517,
0.8602002859115601,
-0.4172866940498352,
0.31477436423301697,
0.08589605242013931,
0.2340683490037918,
-0.6965408325195312,
0.5224222540855408,
0.12406846135854721,
-0.11245937645435333,
-0.9219986796379089,
0.12654922902584076,
0.3523986041545868,
-0.1704314798116684,
0.26709720492362976,
0.34534820914268494,
0.16831913590431213,
-0.656634509563446,
-0.7323382496833801,
0.8730877041816711,
0.2393946349620819,
-0.5696617960929871,
0.19395489990711212,
0.3158263862133026,
0.09955113381147385,
0.08633033186197281,
-0.5795393586158752,
0.7233719825744629,
-0.785929799079895,
-0.30151042342185974,
-0.15630441904067993,
0.3865198493003845,
1.0892711877822876,
0.046885959804058075,
0.6927631497383118,
0.284961998462677,
-0.09996037185192108,
-0.4372011423110962,
0.404609352350235,
-0.3299855887889862,
-0.21530579030513763,
-0.38538214564323425,
0.407921701669693,
0.23352564871311188,
-0.29945722222328186,
0.2742198705673218,
0.47433698177337646,
0.02065296471118927,
0.2871851921081543,
0.10020758211612701,
-0.26107075810432434,
-0.35783594846725464,
0.8374364972114563,
0.06333102285861969,
-1.3215713500976562,
-0.19725628197193146,
-0.2423037737607956,
-0.7683454155921936,
0.38145285844802856,
-0.18955335021018982,
-0.25401216745376587,
-0.1644645482301712,
-0.9971818327903748,
-0.4077690839767456,
-0.5776497721672058,
-0.4327738285064697,
-0.6487273573875427,
-0.4446049630641937,
0.28293147683143616,
0.5127035975456238,
0.015341856516897678,
-0.4886876344680786,
0.04169686883687973,
-0.901817798614502,
0.102043516933918,
-0.0927172601222992,
-0.3301779627799988,
-0.26581692695617676,
-0.0899917334318161,
0.18385060131549835,
0.9392480254173279,
-0.6555768251419067,
-0.3815605044364929,
0.43235719203948975,
-0.3682096600532532,
0.6257113218307495,
0.4467737078666687,
0.1662796288728714,
-0.38034018874168396,
0.32863613963127136,
-0.37674573063850403,
0.47253626585006714,
0.8161081671714783,
-0.6083961129188538,
0.433456152677536,
-0.48017534613609314,
0.5625213980674744,
-0.394539475440979,
-0.34110772609710693,
-1.0220087766647339,
-0.5640789866447449,
0.694148600101471,
0.03381609916687012,
-0.24828268587589264,
-0.6194353699684143,
-0.1841990053653717,
1.104297161102295,
-0.21541441977024078,
-0.5822372436523438,
0.42270737886428833,
-0.9554613828659058,
-0.9018738269805908,
0.40415486693382263,
0.2498455047607422,
-0.15992221236228943,
-0.8108753561973572,
-1.4953464269638062,
0.9090980887413025,
-0.5927287936210632,
-0.31642183661460876,
1.1656190156936646,
0.5834078192710876,
0.20042112469673157,
-0.549842894077301,
-0.17594783008098602,
0.8012332320213318,
-0.8470447659492493,
0.4556128978729248,
-0.08126182109117508,
-0.016446266323328018,
-0.23381449282169342,
-0.7317452430725098,
-0.07616164535284042,
-0.25731030106544495,
0.8188571929931641,
-0.03053026832640171,
-0.9093940854072571,
-0.08272085338830948,
-0.9862931966781616,
-1.234400987625122,
0.04557344689965248,
0.4356251657009125,
0.5209857821464539,
0.021425625309348106,
0.509400486946106,
0.24837321043014526,
0.06679150462150574,
0.2976817786693573,
-0.1373983472585678,
-0.3330625891685486,
-0.2691752314567566,
0.8537205457687378,
-0.4776456356048584,
-0.11777132749557495,
1.0269726514816284,
0.20871765911579132,
-0.9892953038215637,
0.27272719144821167,
-0.5330907702445984,
0.6464356184005737,
-0.8640480637550354,
-0.3484428822994232,
0.12935741245746613,
0.43191516399383545,
-0.69148850440979,
1.1080325841903687,
0.8271151781082153,
-0.23042607307434082,
0.36531320214271545,
0.1081765815615654,
0.6776289939880371,
-0.48009753227233887,
0.5290494561195374,
1.120118498802185,
-0.09557443112134933,
-0.8660578727722168,
-0.6695442199707031,
-0.16807451844215393,
0.11777256429195404,
-0.3352343738079071,
-0.10058114677667618,
-0.029100321233272552,
0.11878228187561035,
-0.31114041805267334,
0.08595278859138489,
0.7883456945419312,
-0.22276389598846436,
-0.527633011341095,
0.654995858669281,
-0.818328857421875,
-1.0836718082427979,
0.5275793075561523,
0.2201765924692154,
0.3771001398563385,
1.174088478088379,
0.07915781438350677,
0.08152968436479568,
0.04455588757991791,
-0.35328203439712524,
0.24896326661109924,
-0.6062164306640625,
0.0027553352992981672,
-0.047735389322042465,
-0.8621757626533508,
-1.330683708190918,
-0.7860540747642517,
-0.10855396836996078,
0.055245447903871536,
-0.4599827826023102,
0.30417490005493164,
-0.015281937085092068,
-0.015975182875990868,
-1.1832177639007568,
0.7577252388000488,
-0.3286256194114685,
-0.9771941900253296,
0.7846229076385498,
-0.6626749634742737,
-0.18480359017848969,
-0.7596211433410645,
-0.006698561832308769,
-0.020154716446995735,
-1.1007088422775269,
0.14077360928058624,
-0.17794112861156464,
0.9667550325393677,
-0.7175105810165405,
-0.5006194114685059,
0.48610225319862366,
-0.8216967582702637,
-0.14973084628582,
0.6460000872612,
-0.8251683115959167,
0.7172978520393372,
0.30383527278900146,
0.2067440301179886,
-0.511613667011261,
-0.2853933572769165,
-0.4638392925262451,
-0.10650891810655594,
-0.09116329997777939,
0.24222326278686523,
0.05165201798081398,
0.574129045009613,
-0.20074278116226196,
-0.7411573529243469,
-0.47143760323524475,
-0.08971215039491653,
0.15413907170295715,
0.6404779553413391,
-0.24994494020938873,
0.3560624122619629,
0.018418796360492706,
0.9650206565856934,
-0.42653927206993103,
-0.022508462890982628,
0.36834216117858887,
0.03966419771313667,
0.4489012658596039,
0.6389431357383728,
0.2206001579761505,
-0.42862218618392944,
0.43812525272369385,
-0.6428757905960083,
-0.37955519556999207,
-0.7433063387870789,
0.5708357691764832,
-0.2941712439060211,
0.37604087591171265,
-0.6754196286201477,
-0.8706960678100586,
-0.383535772562027,
-0.05133923143148422,
0.2196330577135086,
-0.02168104611337185,
-0.6056176424026489,
0.047823257744312286,
0.0236814022064209,
0.08149632811546326,
0.36141616106033325,
-1.42659330368042,
-0.2800096571445465,
0.48098114132881165,
-0.5986971855163574,
-0.16604910790920258,
0.9813427329063416,
0.48311105370521545,
-0.04131794348359108,
-0.20790082216262817,
0.3145119249820709,
-0.06278558075428009,
-0.11378773301839828,
0.0784115269780159,
0.18805772066116333,
-0.26199349761009216,
-0.5477497577667236,
0.05221627652645111,
1.3241251707077026,
-0.3911813795566559,
-0.8496976494789124,
0.17079824209213257,
0.8539231419563293,
-0.10497213900089264,
-0.02529684454202652,
-0.7513948082923889,
-0.3581574261188507,
-0.12350886315107346,
0.44539153575897217,
0.0007156512583605945,
0.17440038919448853,
-0.4871324896812439,
-0.011442344635725021,
-0.10132879763841629,
-0.1325470507144928,
-0.23190994560718536,
-0.23723582923412323,
0.29121267795562744,
0.21619974076747894,
-0.19176916778087616,
0.6690708994865417,
0.3902244567871094,
0.5677365660667419,
1.11078679561615,
0.22811701893806458,
0.11989803612232208,
-0.03978969529271126,
0.12359802424907684,
-0.37370234727859497,
0.6799718737602234,
0.48247915506362915,
0.8750820159912109,
-0.049530111253261566,
-0.28940606117248535,
0.11675883829593658,
0.2584332525730133,
0.07309756428003311,
-0.2735898792743683,
-0.4784914255142212,
0.4957754909992218,
-0.3240102529525757,
-0.40309593081474304,
-0.0784369483590126,
0.007021713070571423,
-0.5726296901702881,
0.362693190574646,
-0.4394567906856537,
-0.3573562502861023,
-0.003413105383515358,
0.11871358752250671,
-0.14259791374206543,
-0.6387195587158203,
0.06464015692472458,
-0.8950965404510498,
-0.16216492652893066,
0.6360719203948975,
0.6029438376426697,
0.463482141494751,
-0.3221825659275055,
1.129645586013794,
0.17696382105350494,
-0.036466050893068314,
0.7372926473617554,
0.19203954935073853,
0.47337427735328674,
0.22314542531967163,
0.11758066713809967,
-0.0989651307463646,
0.2848320007324219,
0.6326959729194641,
-1.4745274782180786,
-0.2899487316608429,
-0.4871862530708313,
-1.0236254930496216,
-0.5097188949584961,
-0.3906870484352112,
-0.008013197220861912,
-1.0212677717208862,
0.027813512831926346,
0.956952691078186,
-0.4695737659931183,
-0.11317190527915955,
-0.24079106748104095,
-0.19238117337226868,
-0.2662871778011322,
0.3142847716808319,
0.7419679760932922,
0.2187742441892624,
-0.43263986706733704,
0.2884821593761444,
0.27406397461891174,
0.17476452887058258,
1.695137858390808,
0.051237933337688446,
0.5669832825660706,
0.3532162606716156,
0.15464667975902557,
0.4633687436580658,
0.4602450132369995,
-0.9221459031105042,
0.5252947807312012,
-0.30536121129989624,
-0.05588402599096298,
-0.40238964557647705,
0.19867043197155,
-0.15908530354499817,
-0.5018079876899719,
-0.4210297465324402,
0.9394752383232117,
-0.2900479733943939,
-0.36939772963523865,
0.4095095098018646,
0.6283697485923767,
0.10196694731712341,
-0.11768936365842819,
-0.04247162863612175,
-0.7012954950332642,
0.5426060557365417,
-0.7698032259941101,
0.22769510746002197,
-0.15687449276447296,
-0.7914640307426453,
0.24764180183410645,
0.25365567207336426,
0.170680433511734,
-0.1806907057762146,
-0.26803135871887207,
-0.7348030209541321,
0.9601517915725708,
-0.6489367485046387,
0.21438947319984436,
0.5468097925186157,
0.7439023852348328,
0.215449258685112,
0.5702847838401794,
0.049141161143779755,
-0.25813028216362,
0.4030042290687561,
1.3006335496902466,
0.00610560504719615,
0.8091453909873962,
-0.27387040853500366,
1.0306776762008667,
-0.16794341802597046,
0.798538863658905,
-0.19313548505306244,
0.10901431739330292,
-0.8734197020530701,
-0.6667658090591431,
-0.13590756058692932,
0.27495047450065613,
0.451821506023407,
-0.257878839969635,
-1.0358788967132568,
-0.5493374466896057,
-1.2368005514144897,
0.06772392243146896,
-0.8030921816825867,
0.28193214535713196,
-0.91474449634552,
0.13475589454174042,
0.3271825611591339,
-0.3113998770713806,
4.005845546722412,
1.3720459938049316,
-0.21333713829517365,
0.5857906937599182,
0.8068994283676147,
1.2752259969711304,
-0.38373082876205444,
-0.42630958557128906,
0.1577579379081726,
0.051814135164022446,
0.4047163724899292,
-0.017399286851286888,
0.41516178846359253,
0.6380589008331299,
0.5607705116271973,
0.3922685980796814,
0.2719525396823883,
0.011553285643458366,
0.22483591735363007,
-0.9790872931480408,
-0.770719051361084,
1.0350526571273804,
0.3961668610572815,
0.39614972472190857,
0.10214663296937943,
0.06679761409759521,
0.8464348912239075,
-0.818396806716919,
-1.1646069288253784,
-0.3564395308494568,
-0.4223886728286743,
-0.6215776801109314,
0.7657116055488586,
-0.6770612001419067,
-0.3720300793647766,
0.6263570785522461,
0.3656245172023773,
-0.06417670845985413,
-0.36036211252212524,
0.04834004491567612,
-0.1450338065624237,
1.075771450996399,
0.1501351147890091,
-0.47160810232162476,
-0.9437105059623718,
0.5937809944152832,
-0.07470635324716568,
1.2203054428100586,
-0.5127361416816711,
-1.1338340044021606,
0.415568083524704,
0.637299120426178,
1.1562507152557373,
-0.4258911907672882,
-1.2293970584869385,
0.14042331278324127,
-0.048723023384809494,
1.17136812210083,
1.0341641902923584,
-0.27004802227020264,
-0.028788503259420395,
0.3411006033420563,
0.005547798238694668,
-0.4623450040817261,
-0.6836747527122498,
0.6430621147155762,
0.7658167481422424,
0.026016725227236748,
-0.7151125073432922,
-0.35217899084091187,
-0.6856972575187683,
-0.5955596566200256,
0.16735237836837769,
-0.5073662996292114,
0.6894349455833435,
0.008031722158193588,
-0.7714386582374573,
0.3784381151199341,
0.2855994701385498,
0.03258581459522247,
-0.16155005991458893,
-0.37942078709602356,
-0.14621427655220032,
0.057283975183963776,
0.026595836505293846,
0.5600584745407104,
-0.5120744705200195,
0.3445548117160797,
-0.12084252387285233,
0.4989410936832428,
0.22937411069869995,
0.6871919631958008,
0.05656707286834717,
-0.2316044270992279,
-0.3970712721347809
] |
1403.4348
|
Mathieu Huruguen
|
Mathieu Huruguen (UBC)
|
Special reductive groups over an arbitrary field
|
21 pages. Comments welcome
| null | null | null |
math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A linear algebraic group G defined over a field k is called special if every
G-torsor over every field extension of k is trivial. In 1958 Grothendieck
classified special groups in the case where the base field is algebraically
closed. In this paper we describe the derived subgroup and the coradical of a
special reductive group over an arbitrary field k. We also classify special
semisimple groups, special reductive groups of inner type and special
quasisplit reductive groups over an arbitrary field k.
|
[
{
"version": "v1",
"created": "Tue, 18 Mar 2014 05:27:55 GMT"
}
] | 2014-03-19T00:00:00
|
[
[
"Huruguen",
"Mathieu",
"",
"UBC"
]
] |
[
-0.40063655376434326,
-0.1825607419013977,
0.1951315850019455,
-0.5764011144638062,
0.38285452127456665,
-0.024485934525728226,
-0.1867503672838211,
-0.0465875081717968,
-1.0058684349060059,
0.766144871711731,
0.6608047485351562,
0.3743205964565277,
0.07131081074476242,
-0.2716599404811859,
-0.1326192021369934,
0.5500453114509583,
-0.4060556888580322,
-0.7601473927497864,
-0.8879052400588989,
0.11627692729234695,
0.7659638524055481,
0.1610538512468338,
-1.158097267150879,
0.16787797212600708,
-0.39378485083580017,
0.24263788759708405,
0.8297256231307983,
0.08727669715881348,
1.4017131328582764,
1.120399832725525,
-0.20607657730579376,
0.22192056477069855,
-0.1898588240146637,
-0.2734350562095642,
-0.8159590363502502,
-1.0358799695968628,
-0.43386709690093994,
-0.4804854989051819,
0.34173384308815,
-0.006763950921595097,
0.24940839409828186,
0.6378891468048096,
-0.017023392021656036,
-0.9642934203147888,
-0.6941161751747131,
0.4083887040615082,
0.02034386247396469,
0.15545228123664856,
-0.10239481925964355,
-1.0784552097320557,
0.24546119570732117,
0.49474459886550903,
-0.10925371199846268,
-0.03387049213051796,
0.6733705401420593,
0.2044558823108673,
0.6535897850990295,
-0.6527707576751709,
-0.09287746250629425,
-0.24715492129325867,
-0.5909521579742432,
0.4215494692325592,
-0.7813293933868408,
-0.4163164794445038,
0.24879483878612518,
0.5723938345909119,
-0.39302754402160645,
0.0348646380007267,
-0.11801696568727493,
-1.577538013458252,
-0.3017096519470215,
-0.46016737818717957,
-0.6752862930297852,
-0.34332096576690674,
-0.3209180533885956,
0.7733235955238342,
-0.2768872380256653,
0.7666655778884888,
-0.3041626513004303,
-0.1353302001953125,
0.108078733086586,
0.8288344740867615,
0.15158385038375854,
-0.36315229535102844,
-0.7371218800544739,
-0.10002602636814117,
0.2864087224006653,
0.09395293891429901,
-0.677876353263855,
0.12171169370412827,
-0.3323330283164978,
0.992469072341919,
-0.080685555934906,
-0.19813308119773865,
0.536395251750946,
0.1935986578464508,
0.4063522219657898,
0.6051088571548462,
-0.09641652554273605,
-0.3476691246032715,
0.10948604345321655,
0.39400869607925415,
-0.5077179074287415,
0.979870617389679,
-1.3239641189575195,
0.7778539061546326,
-0.3944486081600189,
0.4074385464191437,
-0.2547758221626282,
-0.11276716738939285,
0.3779890239238739,
-0.836442768573761,
0.7026021480560303,
-0.4183739721775055,
0.6114809513092041,
0.11327100545167923,
-0.5448629260063171,
0.5128646492958069,
-0.8530988693237305,
-0.35645726323127747,
1.1172409057617188,
0.24161465466022491,
0.598811149597168,
0.05140243098139763,
-1.1147657632827759,
-0.16881439089775085,
0.20179037749767303,
1.107447624206543,
-0.6872618794441223,
-0.1200798749923706,
0.8109513521194458,
-0.4818946123123169,
-0.3691524565219879,
0.40421247482299805,
0.3096093535423279,
-0.30974867939949036,
-0.9346969723701477,
-0.5525643229484558,
0.10064961761236191,
-0.4707627296447754,
-0.08140958845615387,
0.8068646788597107,
-0.4635586440563202,
0.8513028025627136,
0.29624518752098083,
0.1569196879863739,
0.6067399382591248,
-0.10577121376991272,
-0.3510127365589142,
0.24716158211231232,
0.22482703626155853,
-0.494743674993515,
0.23073185980319977,
-0.19511258602142334,
-0.2270103394985199,
-0.24613502621650696,
-1.1283128261566162,
-0.9218753576278687,
-0.3177862763404846,
0.01240505650639534,
-0.022520611062645912,
-0.9671403169631958,
0.20739853382110596,
0.37104475498199463,
-0.31161993741989136,
0.8988271951675415,
-0.6630257368087769,
-0.33655524253845215,
-0.8519973754882812,
0.21535106003284454,
0.5277042984962463,
-0.26458701491355896,
-0.3042641282081604,
0.9817327260971069,
0.6155908703804016,
0.04154345393180847,
0.6623040437698364,
-0.35098734498023987,
0.6110498905181885,
0.31174489855766296,
0.046516336500644684,
-0.6189142465591431,
0.5070245862007141,
0.6900195479393005,
-0.5280041098594666,
0.10588254779577255,
0.43467971682548523,
0.03600354120135307,
0.01513260044157505,
-0.38161712884902954,
-0.7299262881278992,
0.6844128966331482,
0.5095556974411011,
0.335995614528656,
-1.1307493448257446,
0.6189550757408142,
-0.42817410826683044,
0.778239369392395,
-0.2013431042432785,
-0.49789369106292725,
-0.21179218590259552,
0.7384633421897888,
-0.34770405292510986,
0.6500073671340942,
-0.7754075527191162,
-0.8222836852073669,
0.6348277926445007,
1.277817726135254,
-0.14108778536319733,
0.8173980116844177,
0.30064326524734497,
-0.6898903250694275,
-0.10449770838022232,
0.08069346100091934,
0.6127588152885437,
0.012283023446798325,
-0.30019861459732056,
-0.2808150053024292,
-0.870879054069519,
-0.04082736745476723,
-0.27254989743232727,
0.8226983547210693,
-0.22724120318889618,
0.39409515261650085,
0.2901076078414917,
0.5681681632995605,
-0.07911533117294312,
0.8341826796531677,
-0.22164645791053772,
0.323708176612854,
0.12344568967819214,
0.2521556317806244,
0.48983317613601685,
1.1833133697509766,
-0.05998599901795387,
0.46608781814575195,
0.19911004602909088,
0.7998644709587097,
0.1324213296175003,
0.6095484495162964,
0.3986791968345642,
0.041424836963415146,
0.5263035893440247,
0.34921303391456604,
-0.07342979311943054,
0.7813165187835693,
0.3878593146800995,
-0.42299985885620117,
0.5432824492454529,
0.6763224601745605,
-0.020314384251832962,
0.8297134637832642,
0.6253570914268494,
0.3206939697265625,
-1.2887177467346191,
-0.5978405475616455,
-0.0011662770994007587,
0.06910530477762222,
0.29468056559562683,
0.47812432050704956,
-0.24595984816551208,
-0.4873034656047821,
0.22417952120304108,
-0.2765173614025116,
-0.2830181121826172,
0.07093413174152374,
0.09383932501077652,
0.0435178242623806,
0.15603795647621155,
-1.1911417245864868,
-0.955467700958252,
-0.9072443246841431,
-0.5896302461624146,
-0.19854684174060822,
-1.4643083810806274,
-0.328654021024704,
1.1358482837677002,
-0.7558741569519043,
0.18668200075626373,
0.18409062922000885,
-0.31314924359321594,
-0.2838280200958252,
-0.8987034559249878,
0.3367593288421631,
0.2237156331539154,
0.8113078474998474,
-0.9978198409080505,
0.2564597725868225,
-0.5940556526184082,
0.3542426526546478,
0.0667317658662796,
-0.12104832381010056,
0.0983460396528244,
-0.04201727360486984,
0.44776758551597595,
-0.1275673806667328,
-0.5418327450752258,
-0.839420735836029,
0.16362978518009186,
-0.8889788389205933,
-0.6369856595993042,
-0.01176682859659195,
0.1204892173409462,
0.1454729586839676,
-0.4890502095222473,
0.6131272912025452,
-0.47777482867240906,
-0.6754629611968994,
0.4205057621002197,
0.9970399141311646,
-0.925782322883606,
0.22933031618595123,
0.24730224907398224,
-0.452078253030777,
-0.9890113472938538,
0.6514500975608826,
0.3051747679710388,
-0.6323708295822144,
-0.617753803730011,
-0.5074014067649841,
-0.12993592023849487,
-0.2104988992214203,
0.17610439658164978,
0.42802512645721436,
0.7512654066085815,
0.3346182107925415,
-0.05927324667572975,
-0.9159188270568848,
0.06836138665676117,
-0.1063232347369194,
-0.8964927196502686,
-0.02235817350447178,
0.12981876730918884,
1.1411044597625732,
-0.11717947572469711,
0.5648465156555176,
0.09113482385873795,
-0.004903597291558981,
0.3807704746723175,
0.4511229991912842,
0.24535442888736725,
-0.3055424094200134,
-0.4895094633102417,
0.45426636934280396,
0.6458756327629089,
0.5596394538879395,
-0.9196528792381287,
0.4507134258747101,
0.024760602042078972,
-0.44130295515060425,
0.568925678730011,
0.9290680885314941,
0.26964014768600464,
0.2794613540172577,
0.728777289390564,
0.8493763208389282,
-0.3216240108013153,
-0.4118942320346832,
0.017001457512378693,
-0.4217490553855896,
0.10481984913349152,
0.8065339922904968,
-0.4304240643978119,
-0.5556012988090515,
-0.32163867354393005,
-0.3614250123500824,
-0.944400429725647,
0.3015801012516022,
0.391404926776886,
-0.8033410310745239,
0.75938880443573,
0.5428369641304016,
0.6540687680244446,
0.6728363633155823,
-0.3918721079826355,
-0.4250652492046356,
0.6991182565689087,
0.24371758103370667,
0.709990918636322,
-0.5112146735191345,
-0.21521994471549988,
0.13537214696407318,
-0.2692011892795563,
0.04179037734866142,
0.4330635368824005,
-0.22202588617801666,
0.011870956048369408,
0.04906286671757698,
-1.1966235637664795,
0.05056435242295265,
-0.2575605511665344,
-0.7271695137023926,
-0.09398728609085083,
0.03821704536676407,
-0.26654505729675293,
0.3585466742515564,
0.49053576588630676,
0.5686564445495605,
0.22185781598091125,
0.7338546514511108,
0.4591919779777527,
1.7501916885375977,
0.8560211062431335,
0.48819100856781006,
-1.0727717876434326,
-0.03913656249642372,
-0.43032100796699524,
1.0099908113479614,
-0.2032613754272461,
0.15598054230213165,
-0.6759046912193298,
0.10509295761585236,
0.2927991449832916,
0.16588094830513,
-0.028199845924973488,
-0.20186585187911987,
-0.7393028140068054,
0.1709768921136856,
0.6375457048416138,
0.28747716546058655,
0.2578379809856415,
-0.41254884004592896,
0.5789863467216492,
0.5366290807723999,
0.8380700945854187,
0.07289468497037888,
-0.016275327652692795,
-0.30068519711494446,
0.23364843428134918,
0.05271647125482559,
0.3861338496208191,
-0.45852428674697876,
-0.8967141509056091,
-0.8731893301010132,
0.17634737491607666,
-0.36220014095306396,
1.0901023149490356,
1.330322027206421,
-0.5996232032775879,
-0.5653069615364075,
0.2982966899871826,
0.4569825232028961,
-0.48247039318084717,
0.370279461145401,
0.4924984872341156,
-0.5254163146018982,
-0.12624502182006836,
0.31192243099212646,
0.5189406275749207,
-1.294665813446045,
0.05126542970538139,
-0.7957298159599304,
-0.14039790630340576,
0.26335135102272034,
-0.6919000148773193,
-0.3318431079387665,
-0.03829622268676758,
0.014319966547191143,
0.2677649259567261,
-0.07494496554136276,
-0.4666232168674469,
-0.5168840289115906,
-0.5721492767333984,
-0.19048792123794556,
-0.886298656463623,
1.1420363187789917,
0.3150608241558075,
0.2275991588830948,
0.5273020267486572,
0.26936015486717224,
-0.4050678014755249,
-0.841755211353302,
0.25885555148124695,
-0.36535030603408813,
0.625872015953064,
-0.9548786878585815,
-0.19650839269161224,
-0.17405471205711365,
-0.2202434092760086,
-0.5304401516914368,
-0.1361265629529953,
0.3748471736907959,
-0.023479143157601357,
-0.6712534427642822,
-0.7673484086990356,
-0.6931847929954529,
-0.22354570031166077,
-0.37818804383277893,
-0.5152634978294373,
0.14398448169231415,
0.3000614047050476,
0.24672755599021912,
0.5495168566703796,
-0.8209549188613892,
0.6758249998092651,
-0.45236822962760925,
-0.47678515315055847,
-0.07009586691856384,
-0.2097180038690567,
0.7495448589324951,
0.5296087265014648,
0.9550987482070923,
0.2623918652534485,
-0.9246211647987366,
0.10650729387998581,
0.9264142513275146,
-0.8579208850860596,
0.7544230818748474,
-0.4947160482406616,
0.0569864958524704,
-0.18892471492290497,
-1.1398789882659912,
0.21985268592834473,
0.3113323152065277,
0.5992044806480408,
0.11944989114999771,
0.04648904502391815,
-0.4341830611228943,
-0.07328084856271744,
0.5361892580986023,
0.8152779340744019,
-0.6995450258255005,
-0.07925636321306229,
0.032609112560749054,
0.4077221155166626,
-0.21464069187641144,
0.0012945991475135088,
0.2528451681137085,
0.15547163784503937,
-1.2425733804702759,
0.4596036970615387,
-1.052932858467102,
0.21408995985984802,
-0.5240300893783569,
0.49416354298591614,
-0.1328238844871521,
0.352754145860672,
0.4123237729072571,
-0.6240497827529907,
-0.825874388217926,
-0.6280125975608826,
-0.5007909536361694,
-0.22346548736095428,
-0.042512521147727966,
-0.8539298176765442,
-0.63456791639328,
-0.9264783263206482,
0.3041020929813385,
-0.44798049330711365,
0.15771207213401794,
0.6295772194862366,
-0.6415226459503174,
0.37368881702423096,
0.004453063476830721,
0.23590843379497528,
-0.6367807388305664,
-1.178025245666504,
-0.3221670091152191,
-0.022719701752066612,
0.1627267450094223,
-0.7641709446907043,
0.18697714805603027,
-0.41059428453445435,
0.26212936639785767,
-0.18803304433822632,
-0.17485061287879944,
-0.47405993938446045,
0.08673238009214401,
0.0554656907916069,
-0.44238895177841187,
0.18479467928409576,
0.3029607832431793,
-0.07011929899454117,
0.5402926802635193,
-0.46467095613479614,
-0.3091791570186615,
0.4816628396511078,
-0.10712721943855286,
-0.7055856585502625,
0.7754995226860046,
0.2302822768688202,
-0.07850248366594315,
-0.02355891466140747,
-0.6314963102340698,
0.3444404900074005,
-0.0364387221634388,
0.14055413007736206,
0.32412615418434143,
0.09564933180809021,
0.015095621347427368,
-0.02878999337553978,
0.333357572555542,
0.322838693857193,
-0.7733559608459473,
-0.4224153459072113,
0.21450653672218323,
-0.23426316678524017,
0.9295863509178162,
-0.5025089979171753,
-0.9854373931884766,
-0.21165546774864197,
-0.13740693032741547,
0.2844567596912384,
-0.4919082820415497,
1.0172239542007446,
-0.10598529130220413,
-0.9423335194587708,
-0.25434836745262146,
0.6772147417068481,
-0.6911386251449585,
-0.3412993848323822,
0.3095206022262573,
-0.28049251437187195,
0.4644366204738617,
0.6559837460517883,
-0.8504746556282043,
-0.32169970870018005,
-0.14715801179409027,
0.5309609770774841,
-0.2173544466495514,
-0.10068325698375702,
0.5030890107154846,
0.28378385305404663,
-0.5139014720916748,
-0.24574142694473267,
0.31467553973197937,
-0.400221049785614,
0.23844464123249054,
-0.05036293715238571,
0.6066800951957703,
0.3073481321334839,
0.49775102734565735,
-0.515407919883728,
0.8117826581001282,
0.30845779180526733,
0.19397178292274475,
0.5631009936332703,
0.3233609199523926,
-0.20132283866405487,
1.173599362373352,
0.902789294719696,
-0.3036220669746399,
-0.8694832921028137,
0.27011239528656006,
1.3419474363327026,
0.17840217053890228,
-0.5950596332550049,
0.26527804136276245,
0.34713488817214966,
-0.09316887706518173,
-0.5277529358863831,
1.2871463298797607,
-0.06625987589359283,
-1.2666784524917603,
-0.5960893630981445,
-0.21043424308300018,
-0.22416672110557556,
-1.0824693441390991,
-0.07580868154764175,
-0.635141134262085,
0.02142312563955784,
0.3671075999736786,
-0.4676164984703064,
0.2061963677406311,
0.7878901362419128,
1.0086115598678589,
-0.47280746698379517,
-0.45526742935180664,
-0.4077967703342438,
-0.8373031616210938,
-0.6013618111610413,
-0.5978749394416809,
-0.1724698394536972,
-0.08447615057229996,
0.2597973644733429,
0.2216467559337616,
-0.18507978320121765,
-0.34412285685539246,
0.005452004726976156,
-0.39535248279571533,
1.225892424583435,
-0.7909795641899109,
0.023209694772958755,
0.34343206882476807,
-0.037900276482105255,
0.08818750083446503,
-0.39457476139068604,
-0.5452039837837219,
-0.17483283579349518,
-0.3327180743217468,
0.7629997730255127,
0.8393099308013916,
0.6698240637779236,
0.01624489575624466,
0.16070640087127686,
-1.1355313062667847,
0.0035520868841558695,
-0.10661246627569199,
0.309599906206131,
-0.4292530119419098,
1.1246222257614136,
0.7363241910934448,
0.40126267075538635,
0.22822633385658264,
0.0599403902888298,
-0.26242077350616455,
0.19318129122257233,
-0.37608686089515686,
0.7890662550926208,
-0.11675175279378891,
-0.5431218147277832,
-0.7670845985412598,
0.3990868031978607,
-0.9236090779304504,
0.23528233170509338,
0.21024031937122345,
-0.02924254536628723,
-0.4434308409690857,
-0.05630037561058998,
0.14722882211208344,
0.1515135020017624,
0.22724132239818573,
0.15045836567878723,
-0.13467258214950562,
0.28892526030540466,
-0.22358833253383636,
0.8997682929039001,
-1.121326208114624,
-0.44745373725891113,
-0.14108236134052277,
0.15541785955429077,
0.2581617534160614,
-1.0403529405593872,
0.6367202401161194,
0.31495580077171326,
0.3471529483795166,
-1.0613486766815186,
-0.3320067226886749,
0.24056658148765564,
0.0820237398147583,
-0.26993700861930847,
0.5651971101760864,
-0.23997868597507477,
1.0362863540649414,
-0.20647680759429932,
-0.38515743613243103,
-0.4028961956501007,
-0.4875824749469757,
-0.6295945048332214,
0.7924996614456177,
-0.34591618180274963,
-0.04045094549655914,
0.22967544198036194,
-0.37865543365478516,
0.6083772778511047,
-0.15594126284122467,
1.156298279762268,
0.9131293892860413,
-0.5598442554473877,
-0.1892414093017578,
0.23701174557209015,
-0.46996185183525085,
-0.22854751348495483,
-0.20445066690444946,
0.7924278974533081,
-0.4248325228691101,
-1.426201581954956,
0.5506998300552368,
0.07038625329732895,
-0.7774240970611572,
0.8817419409751892,
-0.05235600098967552,
-0.5085046291351318,
-0.19766727089881897,
0.1624521017074585,
0.14646252989768982,
-0.3039948642253876,
-0.7352060675621033,
0.5517560243606567,
-0.5288878679275513,
-0.2220977246761322,
-0.3483336269855499,
0.4153183102607727,
0.3719113767147064,
0.256059855222702,
-0.8444547653198242,
1.1672736406326294,
0.5805816054344177,
0.33697351813316345,
0.7758914232254028,
-0.06741463392972946,
-0.022043820470571518,
0.8005709648132324,
-1.0361381769180298,
-0.6070957183837891,
0.165308877825737,
0.49512779712677,
0.13236962258815765,
0.16290225088596344,
0.5315724015235901,
-0.0537654273211956,
0.024420466274023056,
-0.3067222535610199,
0.6249698400497437,
-0.42083045840263367,
-0.33928194642066956,
1.0227711200714111,
-0.4570864737033844,
-0.21054068207740784,
0.09635356068611145,
-0.07780910283327103,
0.8585807085037231,
-0.9738383889198303,
-0.29277652502059937,
0.08295777440071106,
0.6928116679191589,
-0.2284666895866394,
-0.0839986801147461,
-0.1723145693540573,
-0.18181666731834412,
-0.11427801102399826,
-0.5727360248565674,
0.3732498586177826,
0.8150309324264526,
-0.7124983668327332,
0.5652058124542236,
0.10101311653852463,
0.2672458291053772,
0.7002257108688354,
0.4106535315513611,
0.0606270469725132,
0.09507244825363159,
0.49093249440193176,
0.12517015635967255,
0.5890721082687378,
-1.0698215961456299,
-0.7388013005256653,
-0.639303982257843,
0.09747385233640671,
-0.7335072159767151,
-0.6245092153549194,
0.40348270535469055,
-0.12010443210601807,
-0.02569465897977352,
0.10672421008348465,
0.22826644778251648,
0.32306575775146484,
0.33860257267951965,
-0.37196463346481323,
-0.4780047535896301,
-0.34456315636634827,
0.8114652633666992,
0.14392730593681335,
0.1414283663034439,
0.4287897050380707,
0.7185431718826294,
0.05226251110434532,
0.4003989100456238,
0.8931125402450562,
0.23785479366779327,
0.7640301585197449,
-0.6596850156784058,
-0.22365351021289825,
-0.07729791104793549,
-0.16257800161838531,
-0.5716992020606995,
0.18481925129890442,
-0.08813512325286865,
-0.2628494203090668,
0.5982196927070618,
0.6799905300140381,
-0.2234649658203125,
0.20168966054916382,
0.6988785862922668,
0.7495155334472656,
-0.4081701934337616,
0.6792473793029785,
0.7609394192695618,
0.6611987352371216,
-0.1062362864613533,
-0.15208271145820618,
0.35611584782600403,
-0.9785892963409424,
0.23592202365398407,
-2.4495716094970703,
0.22745278477668762,
0.4362734258174896,
-0.43296781182289124,
0.5062471628189087,
-0.2140156775712967,
-0.11747464537620544,
-0.256780743598938,
-0.4086465835571289,
0.2551223039627075,
0.6305819749832153,
-0.6162407398223877,
-0.43650615215301514,
0.790269136428833,
-0.27002888917922974,
-0.04444402828812599,
-0.45558449625968933,
0.27937671542167664,
-0.002472096588462591,
1.1118792295455933,
0.6050916910171509,
-0.06706473231315613,
0.1273762732744217,
-0.13460621237754822,
-0.02604644186794758,
-0.09229450672864914,
-0.2146056741476059,
-0.8038960099220276,
-0.13931500911712646,
-0.19593854248523712,
-1.271338701248169,
0.3950664699077606,
1.193146824836731,
-0.4627338945865631,
0.2197001576423645,
-0.8879377841949463,
0.08503978699445724,
-0.951336681842804,
-0.09293224662542343,
-0.5689231157302856,
-0.24997828900814056,
-0.5871241688728333,
-0.2499084621667862,
0.7728186845779419,
-0.6604976058006287,
3.755483865737915,
0.5270435214042664,
0.8088946342468262,
0.9020816087722778,
0.6325672268867493,
1.6928428411483765,
-0.7175580263137817,
0.7897592782974243,
0.9418491721153259,
-1.0458552837371826,
-0.2219456136226654,
-0.16616162657737732,
0.9104968905448914,
-0.34902310371398926,
0.7329837679862976,
1.1086505651474,
0.3202139437198639,
1.2975507974624634,
-0.2685534656047821,
-0.8309112787246704,
-0.5484942197799683,
0.06339502334594727,
0.3240569829940796,
0.5489713549613953,
-0.6170701384544373,
0.1438070833683014,
0.427560031414032,
-0.9804174304008484,
-0.62270188331604,
-0.557422935962677,
0.1671028584241867,
-0.9401274919509888,
0.3692787289619446,
-0.17492642998695374,
-0.27456194162368774,
0.41385316848754883,
-0.5233208537101746,
-0.21647652983665466,
0.03120020218193531,
0.5902789235115051,
-0.2100306749343872,
-0.275623083114624,
0.17365525662899017,
-0.6138203740119934,
-0.0095994146540761,
1.3109394311904907,
-0.5669384002685547,
0.09038010984659195,
0.07278098165988922,
-0.9408547878265381,
-0.022891173139214516,
-0.048049405217170715,
0.5859780311584473,
-0.5536705255508423,
-0.14461521804332733,
0.4005332887172699,
-0.6378498077392578,
-0.4094597399234772,
0.572665810585022,
-0.5673575401306152,
0.3713527321815491,
0.48351067304611206,
-0.4914986491203308,
0.45082253217697144,
-0.4615778923034668,
0.7757412791252136,
0.3530077040195465,
0.17163217067718506,
-1.1222314834594727,
-0.0977848544716835,
1.14687979221344,
-0.5121229290962219,
-0.4370202422142029,
-0.39774516224861145,
0.3995111286640167,
0.7629395127296448,
-0.2540586292743683,
0.6359124183654785,
-0.5686920285224915,
-0.6710476875305176,
0.02259807661175728,
-0.6269754767417908,
-0.762645959854126,
-0.1388619840145111,
-0.34711775183677673,
0.5490325689315796,
-1.0857495069503784,
-0.19384004175662994,
-0.5448616147041321,
0.6103952527046204,
-0.09864970296621323,
0.9177364706993103,
0.1074143499135971,
0.34309542179107666,
-0.3763565421104431
] |
2311.03878
|
Andrej Vilfan
|
Abdallah Daddi-Moussa-Ider, Ramin Golestanian and Andrej Vilfan
|
Hydrodynamic efficiency limit on a Marangoni surfer
|
17 pages, 5 figures
|
J. Fluid Mech. 986 (2024) A32
|
10.1017/jfm.2024.363
| null |
physics.flu-dyn cond-mat.soft
|
http://creativecommons.org/licenses/by/4.0/
|
A Marangoni surfer is an object embedded in a gas-liquid interface, propelled
by gradients in surface tension. We derive an analytical theorem for the lower
bound on the viscous dissipation by a Marangoni surfer in the limit of small
Reynolds and capillary numbers. The minimum dissipation can be expressed with
the reciprocal difference between drag coefficients of two passive bodies of
the same shape as the Marangoni surfer, one in a force-free interface and the
other in an interface with surface incompressibility. The distribution of
surface tension that gives the optimal propulsion is given by the surface
tension of the solution for the incompressible surface and the flow is a
superposition of both solutions. For a surfer taking the form of a thin
circular disk, the minimum dissipation is $16\mu a V^2$, giving a Lighthill
efficiency of $1/3$. This places the Marangoni surfers among the
hydrodynamically most efficient microswimmers.
|
[
{
"version": "v1",
"created": "Tue, 7 Nov 2023 10:51:26 GMT"
},
{
"version": "v2",
"created": "Tue, 13 Feb 2024 12:25:06 GMT"
}
] | 2024-05-15T00:00:00
|
[
[
"Daddi-Moussa-Ider",
"Abdallah",
""
],
[
"Golestanian",
"Ramin",
""
],
[
"Vilfan",
"Andrej",
""
]
] |
[
0.0007983006653375924,
0.7216638326644897,
0.4743877351284027,
-0.12439768761396408,
0.6179934740066528,
0.30079466104507446,
-0.14166104793548584,
-0.25131484866142273,
0.18604806065559387,
1.1251379251480103,
0.36300212144851685,
-0.10157109797000885,
-0.14706279337406158,
0.06198543682694435,
0.23979447782039642,
0.35255277156829834,
0.1865750551223755,
-0.8150447010993958,
-1.6525832414627075,
-0.22531716525554657,
-0.1871342658996582,
-0.17461606860160828,
-0.24797745048999786,
-0.461245059967041,
-0.5298274755477905,
0.1956314593553543,
0.7093634009361267,
-0.12516193091869354,
1.484246850013733,
0.6845778822898865,
0.1446698009967804,
-0.09442071616649628,
0.483982115983963,
-0.873542070388794,
0.1998172104358673,
-0.22052721679210663,
-0.28579121828079224,
-0.3357155919075012,
0.05366082116961479,
-1.0245654582977295,
1.128270149230957,
-0.22985044121742249,
0.2806358337402344,
-0.12291319668292999,
0.030818048864603043,
-0.05855654925107956,
0.013034467585384846,
-0.05585196614265442,
-0.49019306898117065,
-0.9021398425102234,
0.09878066927194595,
0.44170427322387695,
0.1749919205904007,
-0.43640387058258057,
0.055571019649505615,
0.05801995471119881,
-0.17396409809589386,
0.027466684579849243,
-0.2083093225955963,
0.17350350320339203,
-0.11409793794155121,
0.480178564786911,
-0.019942935556173325,
-0.386065274477005,
0.14189784228801727,
1.1946384906768799,
-0.10777918249368668,
0.2599037289619446,
-0.17203886806964874,
-0.33448830246925354,
-0.4610794484615326,
0.06749477982521057,
0.5836818814277649,
-0.34087735414505005,
-0.8535494804382324,
0.5893323421478271,
0.5896762013435364,
-0.012667221948504448,
-0.3789423108100891,
0.6155938506126404,
0.16823117434978485,
0.7244628667831421,
-0.45623505115509033,
0.6377975940704346,
-0.288457453250885,
-0.4414452016353607,
0.04709898680448532,
0.20717410743236542,
0.2624272406101227,
-0.17747874557971954,
0.3413984775543213,
1.016427755355835,
-0.2286459505558014,
-0.3957211375236511,
-0.08691219985485077,
-0.11413874477148056,
-0.36415502429008484,
0.42641136050224304,
0.06830134242773056,
0.11477359384298325,
0.91750168800354,
1.1172584295272827,
-0.40705856680870056,
0.6322099566459656,
-0.9771742224693298,
0.4951288104057312,
-0.29366907477378845,
0.07578171044588089,
-0.1451961249113083,
-0.593365490436554,
-0.11538166552782059,
0.8720988631248474,
-0.0016533304005861282,
0.45168617367744446,
0.37893110513687134,
-0.23163338005542755,
0.42083030939102173,
0.43176230788230896,
-0.6519712805747986,
-0.12599115073680878,
-0.6288928389549255,
0.5000646710395813,
-0.21351222693920135,
0.42220035195350647,
-0.25320470333099365,
-0.5633278489112854,
-0.5129349231719971,
1.040205478668213,
-0.47347337007522583,
0.9320138096809387,
0.12546025216579437,
-0.2461470365524292,
-0.5197792649269104,
0.40066438913345337,
0.6213598847389221,
0.7799304723739624,
-0.027744513005018234,
0.7749730944633484,
0.9213992953300476,
-0.20280000567436218,
0.17026670277118683,
0.24599362909793854,
0.2715274691581726,
1.2757518291473389,
-0.6903847455978394,
0.45970508456230164,
0.3548238277435303,
-0.3774964213371277,
-0.042292360216379166,
-0.3494449853897095,
-0.4964376986026764,
-0.13690337538719177,
-0.3754309415817261,
0.2929036617279053,
-0.21827027201652527,
0.18638615310192108,
-0.9826095104217529,
-0.21934202313423157,
0.14728401601314545,
0.2606886923313141,
-0.14575991034507751,
-0.5854658484458923,
-0.40986114740371704,
0.4873649775981903,
-0.6189942359924316,
-0.008405468426644802,
-0.3480726480484009,
-0.6705132722854614,
-0.03886450082063675,
-0.23324041068553925,
0.4772615432739258,
0.18645548820495605,
0.24407406151294708,
0.20259040594100952,
0.34908342361450195,
0.49528244137763977,
0.48989108204841614,
0.2856411933898926,
-0.17381730675697327,
0.06061084568500519,
-0.1548055112361908,
-0.5232957601547241,
0.667931079864502,
1.0475482940673828,
-0.35351794958114624,
-0.03109569661319256,
-0.18886753916740417,
-0.05667004734277725,
0.035547129809856415,
0.226426362991333,
0.1860107034444809,
0.35962632298469543,
-0.8255199790000916,
0.12214907258749008,
-0.6612422466278076,
-0.37633195519447327,
0.3111966848373413,
0.253156840801239,
-0.49667853116989136,
-0.8092832565307617,
-0.15647877752780914,
0.4785715937614441,
-1.0317761898040771,
-0.057248957455158234,
-0.6728549003601074,
-0.09248190373182297,
0.7173177003860474,
0.6744648218154907,
-0.9946479201316833,
-0.42464104294776917,
0.7914843559265137,
0.05107754468917847,
0.4196054935455322,
-0.4149467945098877,
0.159132719039917,
0.39615964889526367,
0.21738509833812714,
-0.01596860960125923,
-0.13889175653457642,
0.0601511225104332,
0.3109529912471771,
-0.1124790832400322,
-0.24847814440727234,
-0.3434293568134308,
-0.04806360602378845,
0.057193562388420105,
-0.37523648142814636,
0.8502435684204102,
0.20055456459522247,
0.7937708497047424,
-0.030763190239667892,
0.42826613783836365,
-0.6762781739234924,
0.11583604663610458,
0.7897891402244568,
0.028254661709070206,
0.4439980387687683,
0.8426251411437988,
0.463642418384552,
-0.25851237773895264,
0.504155158996582,
0.6162155866622925,
0.25242796540260315,
0.09589752554893494,
0.5556744337081909,
0.5804430246353149,
-0.032896801829338074,
-0.3000696003437042,
-1.4618929624557495,
0.27434173226356506,
-0.7124740481376648,
0.32855355739593506,
0.10219830274581909,
-0.1522335410118103,
-1.033408522605896,
0.4502998888492584,
-0.15965686738491058,
-0.16944843530654907,
0.010454445146024227,
-0.2715989649295807,
0.07843561470508575,
0.33728283643722534,
-0.46013563871383667,
-0.4176710247993469,
0.09310710430145264,
0.11351894587278366,
-0.29685360193252563,
-0.06702729314565659,
-0.08203526586294174,
0.3952731490135193,
-1.0886880159378052,
-0.4344181716442108,
-0.8368553519248962,
-0.3053378462791443,
-0.3018580973148346,
-0.02532772906124592,
0.20772191882133484,
0.2936166822910309,
0.5631973743438721,
-0.00027049504569731653,
-0.17082479596138,
0.20196902751922607,
-0.20175981521606445,
0.15296661853790283,
-0.09474203735589981,
0.4929395318031311,
-0.8772067427635193,
-0.3008470833301544,
-0.5579908490180969,
0.33419090509414673,
0.03781496360898018,
-0.14743760228157043,
-0.6947346925735474,
-0.1347983032464981,
-0.40020763874053955,
0.22656776010990143,
0.1454862356185913,
-0.5121497511863708,
-0.1310829073190689,
-0.4598625600337982,
0.27373290061950684,
-0.7575953602790833,
-0.018776357173919678,
-0.3523254096508026,
0.10891781747341156,
0.9888381361961365,
-0.37576040625572205,
-0.5167463421821594,
0.7753905653953552,
0.2750120460987091,
-0.8354558944702148,
0.8258142471313477,
-0.3313244879245758,
0.41049784421920776,
-0.35774165391921997,
1.044430136680603,
-0.08250788599252701,
-0.3417797088623047,
-0.16301760077476501,
-0.10734148323535919,
-0.2891366481781006,
0.09424474835395813,
0.37598446011543274,
-0.9399290084838867,
-0.46280407905578613,
0.6557689309120178,
0.2819889485836029,
-0.4467944800853729,
0.7187495231628418,
-0.1434575915336609,
-0.2268911898136139,
-0.1075911894440651,
-0.48382487893104553,
-0.4020911157131195,
0.3208056092262268,
0.2551126182079315,
0.3903106451034546,
-0.5260414481163025,
-0.4428836405277252,
-0.6721795201301575,
-0.2514581084251404,
-0.6550461649894714,
-0.2594914734363556,
0.5022410750389099,
-0.2774154543876648,
-0.35710039734840393,
0.762702465057373,
-0.3879910707473755,
0.21439769864082336,
-0.015642013400793076,
-0.704014778137207,
0.431995689868927,
0.06742241233587265,
0.023765316233038902,
0.016586164012551308,
0.3370867967605591,
-0.8422175645828247,
-0.25054627656936646,
-0.5240265727043152,
0.563786506652832,
0.05033466964960098,
0.49506059288978577,
0.014706449583172798,
-0.7466973066329956,
-0.8140954971313477,
0.07522504031658173,
0.5990416407585144,
0.4382155239582062,
0.7682764530181885,
-0.9035040736198425,
0.7517096996307373,
0.2098955363035202,
-0.5428453087806702,
-0.4444679021835327,
-0.09725930541753769,
-0.41276445984840393,
0.169489324092865,
0.9484856128692627,
0.12136868387460709,
-0.4497905671596527,
-0.8076677918434143,
-0.24720312654972076,
1.1818931102752686,
0.16388581693172455,
0.36991679668426514,
-0.0077649010345339775,
0.17875976860523224,
-0.3163771629333496,
-0.2805270552635193,
-0.9858247637748718,
0.1058650091290474,
-0.7546970248222351,
-0.202397421002388,
-0.2586882710456848,
-0.25237658619880676,
0.3546578586101532,
0.145064115524292,
0.1242799460887909,
0.044415123760700226,
0.4865160882472992,
0.30334925651550293,
0.041391562670469284,
0.6233833432197571,
0.19213327765464783,
-0.36154595017433167,
-0.5882004499435425,
0.0889459177851677,
-0.277457058429718,
-0.14364248514175415,
-0.1976301521062851,
-0.6775661110877991,
-0.13261081278324127,
0.24914422631263733,
0.396942138671875,
0.4984092712402344,
0.06573082506656647,
-0.5107513070106506,
0.2864392399787903,
0.07840628176927567,
-0.07047919929027557,
0.08610692620277405,
-1.0833512544631958,
0.2713574171066284,
1.083494782447815,
0.9318122267723083,
-0.5162212252616882,
-0.021746190264821053,
-0.33335667848587036,
0.4811188578605652,
0.4197661280632019,
-0.3985476791858673,
-0.12384776026010513,
0.0634426400065422,
0.3131035268306732,
-0.9970101118087769,
0.5637548565864563,
0.8452152609825134,
0.6033522486686707,
-0.158497616648674,
0.13681724667549133,
-0.19189345836639404,
0.2769540250301361,
-0.40886837244033813,
-0.33133554458618164,
-0.22322990000247955,
0.49027732014656067,
0.2910129725933075,
0.18174301087856293,
-0.6203491687774658,
-1.1293314695358276,
-0.6988659501075745,
0.21538688242435455,
0.6182251572608948,
0.26525557041168213,
-0.4010652005672455,
0.31413641571998596,
-0.1885344237089157,
-0.05039465054869652,
0.7770645022392273,
0.4138796925544739,
-0.4683867394924164,
0.7216776609420776,
-0.056524839252233505,
-0.3887336552143097,
-0.6601647734642029,
0.01312826294451952,
0.19929024577140808,
0.970686674118042,
1.1403871774673462,
-0.30311450362205505,
-0.5426072478294373,
0.3005110025405884,
0.5037581920623779,
-0.83977210521698,
0.04412936046719551,
-0.011218098923563957,
-0.3721997141838074,
0.06475416570901871,
-0.9592973589897156,
-0.07459817826747894,
-0.3639114201068878,
0.9340419769287109,
0.28592658042907715,
0.15009534358978271,
0.47092801332473755,
-0.24864883720874786,
-0.06971301883459091,
0.796492338180542,
-0.2684440612792969,
-0.030681228265166283,
0.05876079201698303,
-0.4968676269054413,
-0.12070765346288681,
-0.7847479581832886,
0.3397792875766754,
-0.17902341485023499,
-0.2927767336368561,
-0.36411142349243164,
0.14299486577510834,
-0.005734990816563368,
0.3193230628967285,
0.37642693519592285,
-0.12047377228736877,
0.7599307298660278,
-1.0653597116470337,
-0.38572949171066284,
-0.3480217754840851,
0.19424638152122498,
-0.045752499252557755,
-0.30406811833381653,
-0.3851156532764435,
-0.18183372914791107,
-0.009418071247637272,
0.08868526667356491,
-0.42991599440574646,
1.0559067726135254,
0.032571546733379364,
0.24626299738883972,
-0.33049914240837097,
0.6980595588684082,
-0.15281443297863007,
-0.6246587634086609,
-0.6718680262565613,
1.0926517248153687,
0.17826561629772186,
-0.3332347273826599,
-0.0895058736205101,
-0.78680020570755,
-0.04126268997788429,
0.08563393354415894,
0.7305973172187805,
-0.7522459030151367,
-0.04668281227350235,
-0.3844277262687683,
-0.6448551416397095,
-0.6618103384971619,
0.032711852341890335,
-0.15542319416999817,
-0.365472674369812,
0.6123631596565247,
-1.2322320938110352,
0.22611463069915771,
0.03177472576498985,
0.17210249602794647,
-0.3823254704475403,
0.13959842920303345,
-0.6400911808013916,
0.5655869245529175,
-0.1803288608789444,
-0.4323464334011078,
0.3771381676197052,
0.7974905371665955,
0.43983349204063416,
0.948472797870636,
0.4023550748825073,
0.31398239731788635,
-0.5270208716392517,
-0.39415672421455383,
0.40087205171585083,
0.6573009490966797,
-0.22114074230194092,
0.34277865290641785,
-0.8711552619934082,
0.3907354474067688,
-0.38409194350242615,
0.32619184255599976,
0.18608112633228302,
-0.6051309704780579,
0.7393853068351746,
-0.5003757476806641,
-0.05747773498296738,
0.3670389950275421,
0.29315611720085144,
0.5190520882606506,
0.137215256690979,
-0.8603441715240479,
-0.031251948326826096,
-0.4812223017215729,
-0.6235324740409851,
0.7900394797325134,
0.3910900354385376,
-0.11559738218784332,
-0.24795539677143097,
-0.9142938852310181,
-0.27664506435394287,
-0.365794837474823,
-0.15483860671520233,
1.0888646841049194,
0.09365614503622055,
0.00023050552408676594,
-0.23131106793880463,
0.1588144153356552,
0.6618241667747498,
-0.08071746677160263,
0.5596641898155212,
-0.43704864382743835,
-0.3261078894138336,
-0.3872951865196228,
-0.4189507067203522,
-1.3563257455825806,
-0.39937782287597656,
0.58907151222229,
0.5359708666801453,
-0.17570772767066956,
0.997811496257782,
-0.20049016177654266,
-0.7637161016464233,
-0.8945370316505432,
0.32239025831222534,
0.558251678943634,
0.3814671039581299,
0.09360525757074356,
-0.09551497548818588,
0.04288756102323532,
0.4611648917198181,
0.0006905387854203582,
-0.24967060983181,
0.46517089009284973,
1.2558687925338745,
-0.626847505569458,
-0.9083662629127502,
0.2398313283920288,
0.2109367549419403,
-0.4391540586948395,
-1.089577317237854,
-0.559369683265686,
-0.5060025453567505,
0.02694961242377758,
0.09014083445072174,
-0.3684362471103668,
-0.20801092684268951,
-0.7076257467269897,
-0.27972090244293213,
0.38008788228034973,
-0.4032389223575592,
-0.069670669734478,
-0.30341362953186035,
-0.2452089935541153,
-0.8936254382133484,
-0.010024815797805786,
1.0600792169570923,
-0.029522251337766647,
-0.9777817726135254,
-0.1261899471282959,
-0.4067299962043762,
-0.32616835832595825,
-0.06176973879337311,
-0.056111015379428864,
-0.04942411929368973,
0.3677181303501129,
0.08761760592460632,
-0.606158971786499,
0.403778612613678,
0.3678451180458069,
0.29861903190612793,
-0.4177691340446472,
0.003937967121601105,
-0.6114059686660767,
-0.9346945881843567,
0.6492207646369934,
0.06351257115602493,
-0.027028901502490044,
-0.3412253260612488,
-0.4203648865222931,
-0.3819769620895386,
0.5064701437950134,
-1.10410737991333,
-0.6565442681312561,
-0.47689762711524963,
-0.9785075187683105,
-0.7549688220024109,
-1.8183836936950684,
-0.3722037374973297,
0.3643447160720825,
0.21679148077964783,
-0.10901505500078201,
0.3435593843460083,
-0.27461007237434387,
0.1957990527153015,
0.14729735255241394,
0.8512271642684937,
0.24424758553504944,
0.3169923424720764,
-0.9088705778121948,
-0.6207106709480286,
-0.21271169185638428,
0.1684628576040268,
0.28338274359703064,
0.23201817274093628,
-0.6123751997947693,
0.6859479546546936,
-0.3665311932563782,
0.41596782207489014,
-0.6265304684638977,
-0.40054401755332947,
0.46967023611068726,
-0.11791324615478516,
-0.6965463757514954,
0.9156209230422974,
-0.6572991013526917,
0.3335267901420593,
-0.06127909943461418,
-0.8617684841156006,
-0.1412418782711029,
0.36624813079833984,
-0.6616213321685791,
0.19426707923412323,
0.256888747215271,
0.6158477663993835,
0.25251781940460205,
-0.27103814482688904,
0.4858868420124054,
0.3755260109901428,
-0.7360652685165405,
0.2345646321773529,
0.16020545363426208,
0.22902055084705353,
-0.5412744283676147,
-0.5349265933036804,
0.26093629002571106,
0.4147970378398895,
-0.25568491220474243,
-0.0586349256336689,
-0.18554918467998505,
-0.03699902072548866,
0.4455839991569519,
-0.36899620294570923,
-0.22884388267993927,
-0.6656183004379272,
0.1274326592683792,
-1.5454277992248535,
0.693449079990387,
1.046871304512024,
-0.3862729072570801,
0.8082367181777954,
0.723659098148346,
0.23814308643341064,
-0.2537755072116852,
-0.620370626449585,
-0.3449363708496094,
0.9697496294975281,
-0.34064221382141113,
0.17992034554481506,
0.3183556795120239,
-0.3160076439380646,
-0.3503052592277527,
-0.5782297849655151,
-0.8547975420951843,
0.42011958360671997,
-0.17925071716308594,
-0.18020275235176086,
-0.365726500749588,
0.4184049367904663,
-0.08406912535429001,
0.0502050556242466,
0.035781461745500565,
0.38208019733428955,
0.7138705849647522,
0.03131600469350815,
0.3056162893772125,
-0.32932159304618835,
-0.09933792799711227,
0.3664308190345764,
0.3114211857318878,
0.29204505681991577,
-0.24097561836242676,
-0.8887695670127869,
0.2497217208147049,
0.3803254961967468,
-0.5300167202949524,
0.010784056968986988,
-0.5990181565284729,
0.6779966354370117,
-0.008254323154687881,
0.29994887113571167,
-0.6153362989425659,
0.11898329108953476,
-0.6586353182792664,
1.0342375040054321,
1.488440752029419,
-0.07338687032461166,
0.25174736976623535,
-0.412092387676239,
-0.0557209849357605,
0.32073137164115906,
-0.411845862865448,
0.3028097152709961,
0.06971780955791473,
-0.34244298934936523,
0.5613837838172913,
-0.08220964670181274,
0.3812674283981323,
-0.1755148023366928,
-0.01171907689422369,
-0.6026973724365234,
0.27813154458999634,
0.20887184143066406,
0.30787867307662964,
0.20449979603290558,
-0.1970152109861374,
0.33431240916252136,
-0.3528691232204437,
-0.13854654133319855,
0.4651794731616974,
-0.07338780909776688,
-0.35846322774887085,
0.5902847051620483,
-0.973470151424408,
0.6513178944587708,
-0.4484061300754547,
0.1005111113190651,
-0.44211164116859436,
-0.1667378693819046,
-0.6913008689880371,
1.3424879312515259,
0.19180411100387573,
1.0056174993515015,
-0.849608838558197,
-0.26951199769973755,
-0.3553820550441742,
-0.007277301978319883,
0.057167865335941315,
-0.3033824861049652,
0.1039639487862587,
0.21765004098415375,
0.7854110598564148,
0.2489815652370453,
-0.006239279638975859,
-0.1747962087392807,
-0.07531381398439407,
-0.0691675916314125,
-0.07006734609603882,
0.5998721718788147,
1.2756565809249878,
0.28233602643013,
-0.3098910450935364,
-0.26986679434776306,
-0.4086204767227173,
0.9021726846694946,
-1.4421063661575317,
-1.1826789379119873,
-0.7441384792327881,
-0.5416573882102966,
-0.5407915115356445,
-0.5916438102722168,
-0.2254212647676468,
-0.41147759556770325,
-0.052150119096040726,
0.4908754825592041,
-0.010718490928411484,
0.48493337631225586,
0.3097619414329529,
0.34080252051353455,
1.23213529586792,
-0.35614678263664246,
0.5371776819229126,
-0.8358606696128845,
0.7418314814567566,
0.8359492421150208,
0.055480919778347015,
0.7064069509506226,
0.14601723849773407,
-0.6022818088531494,
0.10690591484308243,
-0.21456320583820343,
-0.3704800307750702,
0.8440101146697998,
0.011697322130203247,
0.15859171748161316,
-0.16135472059249878,
0.4827803075313568,
-0.3241545557975769,
-0.15204565227031708,
0.4075552821159363,
0.638152003288269,
-0.5061692595481873,
0.1014704555273056,
0.689564049243927,
0.5450259447097778,
1.396584391593933,
-0.051056671887636185,
-0.2735482156276703,
-0.011238192208111286,
-0.8348122239112854,
-0.5751283168792725,
0.35520875453948975,
-0.46201202273368835,
-0.17260226607322693,
0.08322282135486603,
-0.28415071964263916,
-0.034891221672296524,
-0.7510889172554016,
0.28484416007995605,
-0.6481634378433228,
0.7755898237228394,
0.5568839907646179,
0.21241378784179688,
0.16798828542232513,
-0.3569106459617615,
-0.8961451649665833,
1.1659340858459473,
0.5570467710494995,
0.9087629914283752,
0.24717335402965546,
0.391999751329422,
-0.01970662549138069,
-0.6663880348205566,
0.15254171192646027,
0.6143254637718201,
-0.12845762073993683,
0.40335527062416077,
0.07254264503717422,
0.3330785632133484,
-0.6076107621192932,
-0.43310028314590454,
0.010844124481081963,
0.8594401478767395,
1.3046749830245972,
0.015512923710048199,
-0.30720946192741394,
-0.05103026703000069,
-0.8759482502937317,
-0.001169603900052607,
-0.6342176795005798,
-0.23314747214317322,
0.6792353391647339,
-0.5912176966667175,
0.1601341813802719,
-0.5572124719619751,
4.223053932189941,
0.2817574739456177,
0.14342841506004333,
-0.2704797089099884,
0.6645035743713379,
0.23944799602031708,
0.6349654197692871,
-0.4333512783050537,
-0.015369323082268238,
0.20270462334156036,
0.43915486335754395,
-0.04786719009280205,
0.713989794254303,
-0.062128398567438126,
0.6306554079055786,
0.15492010116577148,
-0.3034522831439972,
0.23606127500534058,
0.23133665323257446,
-0.6465057730674744,
-0.4648878574371338,
0.17685432732105255,
-0.23771259188652039,
-0.2700369358062744,
0.806039035320282,
0.5994704961776733,
-0.8114040493965149,
-0.48043715953826904,
-0.1822134107351303,
-0.8081467747688293,
-0.4635179936885834,
-0.3882274031639099,
0.5233205556869507,
-0.6610232591629028,
-0.08803629875183105,
0.5166172981262207,
-0.10453511774539948,
0.12029942870140076,
-0.48683246970176697,
0.32335174083709717,
-0.15042436122894287,
-0.32011690735816956,
0.2145754098892212,
0.055769648402929306,
-0.14629821479320526,
0.4909712076187134,
0.32671919465065,
1.251156210899353,
-0.14548777043819427,
-0.7800824642181396,
-0.35034748911857605,
-0.3326609134674072,
0.0016093584708869457,
0.32778850197792053,
-0.9261801838874817,
0.22200347483158112,
0.017425326630473137,
-0.018670687451958656,
-0.09076200425624847,
0.22633107006549835,
1.157185435295105,
-0.17373836040496826,
-0.11238030344247818,
0.3017617166042328,
-0.6479458808898926,
-0.04115653410553932,
-0.05510267987847328,
-0.12518084049224854,
-0.07221905142068863,
-0.4527616500854492,
-0.6256644129753113,
-1.0990474224090576,
0.040789373219013214,
-0.8187740445137024,
1.3041496276855469,
0.34372106194496155,
-0.057147275656461716,
-0.015900839120149612,
-0.10105806589126587,
-0.4596218764781952,
0.04334668442606926,
-0.22094067931175232,
0.13091740012168884,
0.6597141623497009,
0.12101974338293076,
-0.13763359189033508,
-0.7601577043533325,
-0.4224371314048767,
-0.3526768088340759,
0.24383850395679474,
0.9183080792427063,
1.1120882034301758,
0.32262152433395386,
-0.1639503687620163,
-0.10389240831136703
] |
cond-mat/0512286
|
Masayuki Hase Oka
|
M. O. Hase and S. R. Salinas
|
Dynamics of a mean spherical model with competing interactions
| null |
J. Phys. A 39, 4875 (2006)
|
10.1088/0305-4470/39/18/007
| null |
cond-mat.soft
| null |
The Langevin dynamics of a $d$-dimensional mean spherical model with
competing interactions along $m\leq d$ directions of a hypercubic lattice is
analysed. After a quench at high temperatures, the dynamical behaviour is
characterized by two distinct time scales associated with stationary and aging
regimes. The asymptotic expressions for the autocorrelation and response
functions, in supercritical, critical, and subcritical cases, were calculated.
Aging effects, which are known to be present in the ferromagnetic version of
this model system, are not affected by the introduction of competing
interactions.
|
[
{
"version": "v1",
"created": "Tue, 13 Dec 2005 22:19:24 GMT"
},
{
"version": "v2",
"created": "Fri, 24 Mar 2006 16:00:52 GMT"
},
{
"version": "v3",
"created": "Thu, 20 Apr 2006 18:19:43 GMT"
}
] | 2009-11-11T00:00:00
|
[
[
"Hase",
"M. O.",
""
],
[
"Salinas",
"S. R.",
""
]
] |
[
0.1598203182220459,
0.06561078131198883,
0.5516332983970642,
0.9878893494606018,
-0.16542519629001617,
0.0050888098776340485,
-0.0984777957201004,
-0.5160592794418335,
-0.16074100136756897,
1.0563775300979614,
0.6202998161315918,
0.07099148631095886,
0.3396316468715668,
-0.6684819459915161,
-0.41375473141670227,
0.38528501987457275,
-0.5672937631607056,
-0.555077075958252,
-1.3408644199371338,
0.07198028266429901,
0.2711558938026428,
-0.38150662183761597,
-0.6088045239448547,
-1.284260869026184,
-0.7745562195777893,
0.2652338147163391,
-0.5515624284744263,
0.3069271445274353,
1.0721749067306519,
0.7944926023483276,
0.6193503141403198,
-0.6485556960105896,
-0.34580498933792114,
-1.144747257232666,
-0.7464740872383118,
-0.16740018129348755,
0.454990029335022,
0.2627708911895752,
0.6964251399040222,
-0.32348132133483887,
1.1710962057113647,
-0.38765275478363037,
0.439134806394577,
0.39796116948127747,
-0.12025608122348785,
0.2491777539253235,
-0.31610193848609924,
-0.29754638671875,
-0.035841453820466995,
-0.9287853837013245,
0.6687771081924438,
0.35518354177474976,
0.09335316717624664,
-0.3369889259338379,
-0.350751131772995,
0.06163310259580612,
0.0762711837887764,
0.41448089480400085,
-0.4116145968437195,
0.3802722096443176,
0.7364411354064941,
-0.021903477609157562,
0.8679642081260681,
-1.0883007049560547,
0.6011156439781189,
0.6166458129882812,
-0.17382526397705078,
0.42660513520240784,
-0.005521347746253014,
-0.5891866087913513,
-0.5858291387557983,
-0.9130463600158691,
-0.22396455705165863,
0.051702629774808884,
-0.5812546014785767,
0.45244020223617554,
-0.24186092615127563,
-0.442193865776062,
-1.0179040431976318,
-0.5729277729988098,
0.1443716436624527,
-0.5054106116294861,
-0.001141152111813426,
0.2856711447238922,
0.416604220867157,
-0.31407731771469116,
0.07331874221563339,
0.10396268963813782,
-0.3596295118331909,
0.617107093334198,
0.2738446295261383,
0.6863958239555359,
-0.016739752143621445,
-0.011752936989068985,
0.044660523533821106,
0.8305992484092712,
-0.06073111668229103,
0.6253504753112793,
0.8225429654121399,
0.6337676644325256,
-0.03500029444694519,
0.5100852251052856,
-0.6631357669830322,
0.45968788862228394,
-0.5566384196281433,
0.3372603952884674,
0.018581697717308998,
0.06012064218521118,
-0.5080021023750305,
-0.27284935116767883,
-0.12370947003364563,
0.19622892141342163,
0.3865315318107605,
0.8015504479408264,
0.2632027864456177,
1.1579571962356567,
0.1244594007730484,
0.4867267608642578,
-0.9517431259155273,
0.07266095280647278,
-0.29544875025749207,
0.6375628113746643,
-0.06876898556947708,
0.38072460889816284,
0.3800731897354126,
-0.04362812638282776,
0.05246078968048096,
0.9918098449707031,
-0.04958488792181015,
-0.28117552399635315,
-0.5957086086273193,
-0.6236399412155151,
0.10954492539167404,
0.6756753921508789,
0.17287854850292206,
0.41399118304252625,
0.05046387389302254,
0.5931820869445801,
0.5358969569206238,
-0.24770881235599518,
0.30172890424728394,
-0.3687055706977844,
-0.04449406638741493,
0.8083800077438354,
0.22183725237846375,
-0.029208580031991005,
-0.10842824727296829,
-0.5662047266960144,
-0.45399847626686096,
0.2729851007461548,
-0.8860422372817993,
0.152130126953125,
-0.2852698266506195,
0.30925241112709045,
0.1335006207227707,
-0.15033821761608124,
-0.7068555355072021,
0.8164651989936829,
-0.6381992101669312,
-0.9588814377784729,
0.21507948637008667,
-0.28758424520492554,
-0.154896080493927,
0.17031227052211761,
-0.3478310704231262,
-0.05917796120047569,
-0.35416465997695923,
-0.3459426164627075,
0.32435357570648193,
-0.45686596632003784,
-0.13678672909736633,
0.5043742656707764,
-0.31122007966041565,
0.44251251220703125,
-0.09956187754869461,
0.47522878646850586,
0.48039156198501587,
-0.69828861951828,
-0.047602806240320206,
0.6393046975135803,
-0.28609442710876465,
-0.01265171729028225,
1.3636003732681274,
0.21193775534629822,
0.35981324315071106,
-0.17157654464244843,
-0.794316291809082,
-0.41627779603004456,
0.5687420964241028,
0.8302900195121765,
-0.4250711500644684,
0.2613161504268646,
-0.23117204010486603,
0.23196053504943848,
-0.5907320380210876,
-0.3301309645175934,
-0.281574010848999,
0.6657989621162415,
-0.416998952627182,
0.0836457908153534,
-0.7371784448623657,
0.20472705364227295,
-1.0860875844955444,
0.10465612262487411,
-1.122243046760559,
0.11272532492876053,
0.312706857919693,
-0.06738908588886261,
-0.47176066040992737,
0.7615038752555847,
0.48652079701423645,
-0.3052823543548584,
0.15608371794223785,
-0.16186732053756714,
-0.2843661904335022,
0.3980434536933899,
-0.2916809022426605,
-0.05733291432261467,
0.2697083353996277,
-0.27243772149086,
1.0132312774658203,
-0.41450774669647217,
-0.04904462397098541,
1.1087398529052734,
-0.2987271249294281,
-0.2085828185081482,
0.028353597968816757,
-0.521250307559967,
0.6833202242851257,
-0.36934593319892883,
0.3122197091579437,
0.7506652474403381,
-0.21634717285633087,
0.7453500032424927,
0.8159221410751343,
0.5956576466560364,
0.8248862028121948,
0.7076660394668579,
0.3377738296985626,
0.12714426219463348,
-0.13234107196331024,
0.034758348017930984,
0.6486781239509583,
0.7973870635032654,
-0.09303955733776093,
0.7776567935943604,
-0.7980263829231262,
0.3719378411769867,
-0.9734780192375183,
0.26186367869377136,
-0.4736067056655884,
0.5342506170272827,
0.4693605899810791,
0.5735612511634827,
-0.5812514424324036,
-0.34613585472106934,
0.016312655061483383,
0.3528454899787903,
-0.22755782306194305,
-0.9742079973220825,
-0.3135491907596588,
-0.2788686454296112,
0.05141119658946991,
-0.37057462334632874,
0.2564401924610138,
1.2858991622924805,
-0.1810726672410965,
0.1686526983976364,
-0.167976513504982,
-0.6611403226852417,
-0.8687577247619629,
-0.2549603581428528,
-0.47427898645401,
-0.06085782125592232,
-0.6185606718063354,
-0.02895830012857914,
0.7115710973739624,
-0.3067553639411926,
0.6391652226448059,
0.44972747564315796,
-0.30927610397338867,
0.5179470181465149,
-0.17458400130271912,
0.6333504319190979,
0.047529932111501694,
-0.06740651279687881,
-0.9922924041748047,
0.029868802055716515,
-0.6962248086929321,
-0.07844898849725723,
-0.0689101293683052,
0.48573389649391174,
0.34834545850753784,
-0.18493591248989105,
0.24764271080493927,
0.010588577017188072,
-0.9307101368904114,
-0.238565593957901,
0.3119892477989197,
-0.13593019545078278,
-0.09669045358896255,
0.8678703904151917,
-0.45632269978523254,
-0.4936298727989197,
-0.20297174155712128,
1.0136101245880127,
-0.24560582637786865,
-0.049758363515138626,
1.048270583152771,
0.44353818893432617,
-0.1062391847372055,
0.2868426442146301,
-0.8581889867782593,
0.0489509254693985,
-0.1694822907447815,
0.9472374320030212,
1.426945686340332,
0.17872066795825958,
0.4825044572353363,
-0.5565691590309143,
0.012000657618045807,
-0.010415681637823582,
0.15662404894828796,
-1.1022396087646484,
-0.30882811546325684,
0.9207553863525391,
0.07978032529354095,
-0.6653001308441162,
0.07687253504991531,
-1.0914382934570312,
-1.0561492443084717,
-0.03495506942272186,
-0.4863409996032715,
0.46403080224990845,
-0.19601064920425415,
-0.20173582434654236,
-0.47398027777671814,
0.16153094172477722,
0.18392302095890045,
0.4020375907421112,
0.6829867959022522,
-0.3660057485103607,
0.8912817239761353,
0.6372644305229187,
0.04691392928361893,
0.282909095287323,
0.6609663963317871,
-0.1353694051504135,
0.21178540587425232,
0.8577548861503601,
-0.7987949848175049,
-0.05374620109796524,
0.28077957034111023,
-0.14905835688114166,
0.41475823521614075,
0.8021926283836365,
-0.5371561646461487,
-0.6014834046363831,
-0.22659263014793396,
-0.33553093671798706,
0.7969141006469727,
0.3531525433063507,
-0.5756524801254272,
0.4669647812843323,
-0.4433720111846924,
-0.46781376004219055,
1.0174787044525146,
-0.38627341389656067,
0.27579447627067566,
-0.6697645783424377,
0.27431294322013855,
0.0949602723121643,
-0.30559882521629333,
-0.06549884378910065,
-0.1902664452791214,
0.08529822528362274,
0.02390768565237522,
0.5243975520133972,
1.0699609518051147,
-0.6686623692512512,
-0.26898401975631714,
-0.31706663966178894,
0.7865108251571655,
0.5383977293968201,
0.20581957697868347,
0.8340455889701843,
-0.21078889071941376,
0.3439873158931732,
-0.8205609917640686,
-1.0286787748336792,
-0.30279305577278137,
-0.42190682888031006,
-0.540720522403717,
-0.6609145998954773,
-0.1671333611011505,
-0.2576303780078888,
0.4185110330581665,
0.2382999062538147,
-0.144338920712471,
-0.3294210433959961,
0.5249187350273132,
0.35012367367744446,
0.2382720559835434,
0.2804546654224396,
0.5595167875289917,
-0.23328125476837158,
-0.6728967428207397,
0.39929938316345215,
0.2474716156721115,
0.5826724767684937,
-0.4231135845184326,
-0.14560945332050323,
-0.7619995474815369,
-0.5578151941299438,
0.9655207991600037,
0.2521454095840454,
-0.6319589018821716,
0.6982351541519165,
-0.11377333104610443,
0.36306625604629517,
-0.2055656760931015,
-0.05411383509635925,
0.020035244524478912,
0.34455689787864685,
0.23451924324035645,
-1.0288559198379517,
0.13078853487968445,
-0.2556089758872986,
0.31004321575164795,
0.863967776298523,
0.10352114588022232,
-0.46264156699180603,
-0.416142076253891,
0.2053498476743698,
-0.5856019258499146,
-0.3874940872192383,
0.7794511914253235,
-0.21920841932296753,
0.13247567415237427,
0.1727207750082016,
-0.11077116429805756,
0.1542021632194519,
-0.4868648052215576,
-0.6904709935188293,
0.2899009585380554,
0.28073254227638245,
-0.3365621566772461,
1.0025070905685425,
0.15027348697185516,
-0.10333717614412308,
-0.2759302258491516,
-0.45366835594177246,
-0.12382303178310394,
-0.5477145910263062,
-0.779168963432312,
-0.027592146769165993,
-0.21803414821624756,
-0.1745976060628891,
1.1193161010742188,
-0.5059173107147217,
0.039562661200761795,
0.01576414704322815,
-0.12088396400213242,
-0.39683422446250916,
-0.38659441471099854,
0.10824491083621979,
-0.1900850087404251,
0.5201440453529358,
0.9082204699516296,
0.6607832908630371,
-0.050922125577926636,
0.26413774490356445,
0.17609693109989166,
-0.17731443047523499,
0.13392040133476257,
0.0021319929510354996,
-0.45342499017715454,
0.09051443636417389,
0.08561792224645615,
-0.33573102951049805,
-0.7588890194892883,
0.5557241439819336,
-0.09127174317836761,
1.2791006565093994,
-0.13848820328712463,
-0.7433463335037231,
-0.6002958416938782,
0.08002414554357529,
-0.8937358856201172,
0.333429217338562,
-0.2574775218963623,
-0.6226805448532104,
-0.42359042167663574,
-0.11356863379478455,
-0.6698580980300903,
0.5364856123924255,
0.2481757402420044,
-0.16513557732105255,
-0.0061117238365113735,
0.3169325292110443,
-0.3182646334171295,
0.23012740910053253,
-0.7272096276283264,
0.5912293195724487,
-0.26366037130355835,
-0.17184339463710785,
-0.29304876923561096,
-0.6805778741836548,
-0.2249268889427185,
-0.336531400680542,
-0.579479455947876,
-0.8512268662452698,
0.08386115729808807,
-0.2023715376853943,
0.7704855799674988,
0.20200638473033905,
0.24040918052196503,
-0.1261318027973175,
-0.7446263432502747,
0.9935964941978455,
-0.12178302556276321,
-0.8900637626647949,
-0.053389087319374084,
0.9667860269546509,
0.059001438319683075,
-0.07882484793663025,
0.10148844122886658,
-0.925524115562439,
0.15343354642391205,
-0.34913399815559387,
-0.49780207872390747,
-0.7101362943649292,
-0.2662712335586548,
-0.2796980142593384,
0.31519773602485657,
-0.10285157710313797,
0.4993153512477875,
0.17804467678070068,
-0.4438168406486511,
0.037290241569280624,
-0.6230446100234985,
-0.00440973462536931,
-0.23025886714458466,
-0.46601447463035583,
-1.0383975505828857,
-0.4412938356399536,
-0.9974745512008667,
0.43662184476852417,
-0.4450448155403137,
-0.06742008030414581,
0.35653382539749146,
0.24841547012329102,
-0.12386521697044373,
0.5941630005836487,
-0.2552471160888672,
0.08984538167715073,
0.3893088400363922,
0.7843979001045227,
-0.18644742667675018,
0.39702239632606506,
-0.6543827652931213,
0.2550104260444641,
-0.7976554036140442,
0.8020164370536804,
-0.2941421568393707,
-0.17665313184261322,
-0.08902078866958618,
-0.2709226608276367,
0.7387136220932007,
-0.5713721513748169,
0.031519562005996704,
-0.025674648582935333,
0.3684740960597992,
0.9300764203071594,
0.741464376449585,
-0.8334453105926514,
-0.3810422122478485,
-0.49486956000328064,
-1.4034664630889893,
0.7041243314743042,
0.011162923648953438,
-0.28009945154190063,
-0.7225005626678467,
-0.4323248863220215,
-0.39193961024284363,
-0.1755351722240448,
-0.06500186026096344,
0.47607511281967163,
-0.19596222043037415,
-0.04873323813080788,
-0.22125278413295746,
0.5183358192443848,
-0.4644473195075989,
-0.3447645306587219,
0.2532653212547302,
0.5437612533569336,
-0.6635295152664185,
0.0692286565899849,
-0.41614681482315063,
-1.6211234331130981,
-0.36270850896835327,
0.6732711791992188,
0.33739715814590454,
-0.3316604793071747,
0.4954838752746582,
-0.28693705797195435,
-0.49066197872161865,
-0.35248395800590515,
0.20193368196487427,
-0.2501528561115265,
0.3001467287540436,
0.6302330493927002,
-0.3359106779098511,
-0.18423405289649963,
-0.5025978088378906,
0.45527270436286926,
-0.6890721917152405,
-0.1589174121618271,
0.7114682793617249,
-0.55423504114151,
-0.0006844901945441961,
0.014235076494514942,
0.08923689275979996,
-0.8282971382141113,
-0.9100843071937561,
-0.6068632006645203,
0.5058997273445129,
-0.18658646941184998,
-0.8066802620887756,
0.4744216203689575,
-0.08419882506132126,
-0.8159634470939636,
0.696134090423584,
0.5325281023979187,
-0.3380294740200043,
-0.19174279272556305,
-0.06990090757608414,
-0.21791118383407593,
-0.8891216516494751,
-0.46374183893203735,
0.7851089835166931,
0.27902767062187195,
-0.28462472558021545,
-0.27979886531829834,
-0.5053638815879822,
0.238673597574234,
0.3192007541656494,
0.849948525428772,
-0.34366264939308167,
0.24896031618118286,
0.16500653326511383,
0.7293672561645508,
0.43810057640075684,
0.27608469128608704,
0.24747596681118011,
-0.5596548318862915,
0.17709389328956604,
-0.9307461380958557,
-0.3094531297683716,
-0.017369141802191734,
0.3901869058609009,
0.8086114525794983,
-0.15245752036571503,
0.04399385303258896,
-0.02684175595641136,
-0.3129819929599762,
-0.6437441110610962,
-0.11692892760038376,
-0.11639668047428131,
-1.2684359550476074,
-0.5051465034484863,
-0.3088040053844452,
-0.07226846367120743,
-0.1810290664434433,
0.34065666794776917,
0.4306933283805847,
-0.4197055399417877,
-0.7048048377037048,
0.19516468048095703,
0.5363478064537048,
-0.05935274437069893,
-0.13564850389957428,
-0.6881315112113953,
-1.4272785186767578,
0.5034834742546082,
-0.7913917303085327,
0.18833108246326447,
-0.2186715006828308,
0.7660667300224304,
-0.1277376264333725,
-0.15179084241390228,
-0.8969907164573669,
0.6668009161949158,
-0.9761420488357544,
-0.16058902442455292,
0.17150364816188812,
-0.35535064339637756,
-0.7230002880096436,
0.25430119037628174,
-0.294845849275589,
-0.016392918303608894,
0.5420483350753784,
-0.039079129695892334,
0.0010486135724931955,
0.07825922966003418,
-0.9880716800689697,
-0.25136247277259827,
-0.8454460501670837,
0.7543179988861084,
-0.2650602161884308,
-0.7392590641975403,
0.1981513649225235,
0.79945969581604,
-1.1506924629211426,
0.5350613594055176,
-0.7910438776016235,
0.24809399247169495,
-0.5947858691215515,
0.2282455563545227,
0.3593546450138092,
0.5510392785072327,
-0.9643791317939758,
0.8072145581245422,
-0.7417192459106445,
-0.5724611878395081,
-0.3627956211566925,
-0.06539316475391388,
-0.3485894799232483,
0.23144203424453735,
0.33205723762512207,
-0.6043410897254944,
-0.06085410714149475,
0.1951168030500412,
-0.42212575674057007,
0.17687107622623444,
-0.5988384485244751,
0.09807693213224411,
-0.34479737281799316,
-0.42264479398727417,
-0.5821095108985901,
0.8888611197471619,
0.14241504669189453,
-0.2857678234577179,
0.26232877373695374,
-0.8203436136245728,
-0.6009478569030762,
0.3588673174381256,
-1.0405025482177734,
-0.4354141354560852,
-0.42854905128479004,
-0.5921033620834351,
-0.35502877831459045,
-0.6953977346420288,
-0.25015103816986084,
0.8144979476928711,
-0.25774016976356506,
0.29299238324165344,
0.06901726871728897,
-0.020838670432567596,
-0.42408427596092224,
0.15171633660793304,
-0.7212582230567932,
0.18536235392093658,
-0.1952035129070282,
0.35371941328048706,
-0.25659844279289246,
-0.39409178495407104,
-0.4438292980194092,
0.30901002883911133,
-0.34519457817077637,
0.024171946570277214,
-0.2919269800186157,
0.4072113037109375,
-0.016644010320305824,
0.4656444489955902,
-0.6483744978904724,
0.39733877778053284,
0.39917221665382385,
0.47138506174087524,
-0.021403664723038673,
-0.6396709680557251,
-0.11938659101724625,
0.38312703371047974,
0.027720514684915543,
-0.14456355571746826,
-0.3323591351509094,
1.0063982009887695,
0.20485208928585052,
-0.6149500012397766,
1.1841259002685547,
0.15172593295574188,
0.8166772127151489,
0.1457524448633194,
0.1472906470298767,
-0.1393699198961258,
0.3320775330066681,
0.3565828502178192,
0.41110262274742126,
0.6617969274520874,
0.3246851861476898,
0.3496377170085907,
0.21383772790431976,
0.15625840425491333,
0.3542417883872986,
-0.2705363631248474,
-0.034210287034511566,
0.6792975068092346,
-0.07822786271572113,
0.6392838358879089,
0.26568838953971863,
-0.07386799901723862,
-0.07611598074436188,
0.12212930619716644,
0.5120593905448914,
-0.17474932968616486,
-0.32305118441581726,
0.11232548207044601,
-0.4462033212184906,
-0.47309544682502747,
-0.2718333899974823,
0.05718399956822395,
-0.21051515638828278,
-0.13603027164936066,
0.32496216893196106,
0.2934490740299225,
0.638941764831543,
0.621132493019104,
0.3057776391506195,
0.46318748593330383,
0.15550734102725983,
0.535485029220581,
-0.12618449330329895,
1.011298656463623,
0.5517538785934448,
0.04238278791308403,
0.5052096843719482,
-0.9361782073974609,
0.594946026802063,
0.6885689496994019,
-1.3370789289474487,
0.14054109156131744,
-0.4750659167766571,
0.4573694169521332,
-0.014224307611584663,
-0.9457449316978455,
0.2435023933649063,
-0.3400323987007141,
0.032179318368434906,
0.7618411779403687,
0.05429717153310776,
0.045911576598882675,
0.48865801095962524,
-0.10175500810146332,
0.08054094016551971,
0.5087735056877136,
-0.21133671700954437,
-0.3949151933193207,
0.634638786315918,
1.1311924457550049,
-0.4877851903438568,
0.26350754499435425,
0.41465818881988525,
-0.5295175909996033,
0.274384468793869,
0.2942427098751068,
-0.19500792026519775,
1.0100183486938477,
-0.1636682003736496,
-0.1782696396112442,
-0.18188227713108063,
0.49110013246536255,
-0.4142697751522064,
0.08998926728963852,
0.1423581838607788,
0.3129727840423584,
-0.02956436760723591,
-0.25045663118362427,
0.5275901556015015,
0.32475534081459045,
-0.30492401123046875,
0.003035855945199728,
-0.1409827321767807,
0.22789433598518372,
0.26732081174850464,
-0.4130488634109497,
0.1934644728899002,
0.3935997784137726,
0.2205081284046173,
-0.38831791281700134,
-0.46994510293006897,
-0.596630334854126,
-0.6778745651245117,
-0.5087772607803345,
-0.6158874034881592,
0.8160885572433472,
0.3527102768421173,
1.1703892946243286,
0.7440962791442871,
-0.6759467124938965,
0.2587803304195404,
0.07964308559894562,
1.1580448150634766,
0.3890979290008545,
-0.2219487875699997,
0.6085976958274841,
0.21431709825992584,
-0.6181222796440125,
0.7479010224342346,
1.099694013595581,
-0.42260995507240295,
0.6458534002304077,
-0.05009523779153824,
-0.04295545071363449,
-0.1839650422334671,
0.005183783359825611,
0.6772060990333557,
0.4417717456817627,
0.021124426275491714,
-0.586653470993042,
-0.12443366646766663,
-0.3079319894313812,
-1.2283825874328613,
0.2519378960132599,
-0.6382848620414734,
0.7123663425445557,
0.3426111936569214,
0.3126366138458252,
0.07909257709980011,
-0.5633144378662109,
4.178396701812744,
1.6231999397277832,
0.6721194982528687,
-0.5046423077583313,
0.9714213013648987,
0.17617972195148468,
0.26302745938301086,
-0.7219387888908386,
0.09618352353572845,
-0.33665546774864197,
0.3681420683860779,
-0.208021342754364,
0.2847353518009186,
-0.2977089583873749,
-0.11254096031188965,
0.38715553283691406,
-0.1590924859046936,
0.5262682437896729,
-0.12041586637496948,
-1.1094386577606201,
-0.30723437666893005,
0.6529154777526855,
-0.10200998932123184,
-0.2335612028837204,
0.29328158497810364,
-0.09391414374113083,
0.6560863256454468,
-1.1884336471557617,
-0.0574662908911705,
-0.27724719047546387,
-0.5741397142410278,
-0.4167879521846771,
-0.2405768185853958,
0.2636849582195282,
-0.4047829508781433,
0.7351752519607544,
0.016379281878471375,
-0.10961814969778061,
-0.14762623608112335,
0.1943744570016861,
0.1263691633939743,
0.2092934399843216,
0.01935384050011635,
0.11128147691488266,
-1.2747085094451904,
0.6557233333587646,
-0.5753232836723328,
1.0200670957565308,
0.27718713879585266,
0.11233048141002655,
0.37519535422325134,
-0.30449920892715454,
0.4128347933292389,
-0.4344955086708069,
-1.3157981634140015,
-0.21287290751934052,
-0.197801411151886,
-0.878078818321228,
0.011760317720472813,
-0.23853632807731628,
0.8483529090881348,
0.42143335938453674,
-0.33048126101493835,
0.11792133748531342,
-0.18636995553970337,
0.6843234300613403,
0.596467137336731,
0.15795953571796417,
-0.544814944267273,
0.39397862553596497,
-0.10298518091440201,
-0.3237423002719879,
-0.6189109683036804,
-0.11383427679538727,
0.012372313998639584,
-0.009564744308590889,
-0.6658039689064026,
0.5687254667282104,
-0.1833166480064392,
-0.26283377408981323,
-0.2514081299304962,
-0.1761157065629959,
-0.06756598502397537,
-0.10870356112718582,
0.34524279832839966,
1.066830039024353,
0.15211808681488037,
-0.02685878798365593,
-0.06331226974725723,
0.7701776027679443,
0.5822523236274719,
0.7714394927024841,
-0.04881804436445236,
0.05208483338356018,
-1.0093169212341309
] |
2404.01213
|
Weijun Zhang
|
Jing Gao and Weijun Zhang and Zhitao Zhang
|
Bifurcation on Fully Nonlinear Elliptic Equations and Systems
|
comments are welcome!
| null | null | null |
math.AP math.FA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we study the following fully nonlinear elliptic equations
\begin{equation*} \left\{\begin{array}{rl}
\left(S_{k}(D^{2}u)\right)^{\frac1k}=\lambda f(-u) & in\quad\Omega \\ u=0 &
on\quad \partial\Omega\\ \end{array} \right. \end{equation*} and coupled
systems \begin{equation*} \left\{\begin{array}{rl}
(S_{k}(D^{2}u))^\frac1k=\lambda g(-u,-v) & in\quad\Omega \\
(S_{k}(D^{2}v))^\frac1k=\lambda h(-u,-v) & in\quad\Omega \\ u=v=0 & on\quad
\partial\Omega\\ \end{array} \right. \end{equation*} dominated by $k$-Hessian
operators, where $\Omega$ is a $(k$-$1)$-convex bounded domain in
$\mathbb{R}^{N}$, $\lambda$ is a non-negative parameter,
$f:\left[0,+\infty\right)\rightarrow\left[0,+\infty\right)$ is a continuous
function with zeros only at $0$ and $g,h:\left[0,+\infty\right)\times
\left[0,+\infty\right)\rightarrow \left[0,+\infty\right)$ are continuous
functions with zeros only at $(\cdot,0)$ and $(0,\cdot)$. We determine the
interval of $\lambda$ about the existence, non-existence, uniqueness and
multiplicity of $k$-convex solutions to the above problems according to various
cases of $f,g,h$, which is a complete supplement to the known results in
previous literature. In particular, the above results are also new for
Laplacian and Monge-Amp\`ere operators. We mainly use bifurcation theory,
a-priori estimates, various maximum principles and technical strategies in the
proof.
|
[
{
"version": "v1",
"created": "Mon, 1 Apr 2024 16:12:56 GMT"
}
] | 2024-04-02T00:00:00
|
[
[
"Gao",
"Jing",
""
],
[
"Zhang",
"Weijun",
""
],
[
"Zhang",
"Zhitao",
""
]
] |
[
0.3141026496887207,
1.2564321756362915,
0.42219606041908264,
0.2692869305610657,
0.5304092764854431,
-0.054818447679281235,
-0.6157596707344055,
0.18535000085830688,
-0.3160598874092102,
1.4664987325668335,
0.6495243906974792,
0.6584003567695618,
0.1318337768316269,
-0.40190285444259644,
-0.25003582239151,
0.6147481203079224,
-0.23515714704990387,
-0.11300179362297058,
-0.903272807598114,
-0.21897052228450775,
0.38772132992744446,
-0.43952852487564087,
-0.23612640798091888,
-0.4192120134830475,
-0.5397092700004578,
0.4427248239517212,
-0.13107581436634064,
0.21810582280158997,
0.6343304514884949,
0.757912278175354,
0.5913727283477783,
-0.3154187500476837,
0.06084435060620308,
-1.3346103429794312,
-0.10855484753847122,
-0.5739598870277405,
0.32177045941352844,
-0.18692950904369354,
0.21362777054309845,
-0.46224430203437805,
0.6892724633216858,
-0.0996871069073677,
0.429930180311203,
-0.5145749449729919,
-0.09833358228206635,
-0.22956229746341705,
0.37866148352622986,
0.6327035427093506,
-0.6921920776367188,
-0.2574242353439331,
-0.3553765118122101,
0.41194096207618713,
0.022819628939032555,
-0.5591999888420105,
-0.5969788432121277,
-0.11950212717056274,
-0.06830067932605743,
0.16968266665935516,
-0.25497326254844666,
-0.5601299405097961,
-0.5942384600639343,
0.3882157504558563,
-0.2640240788459778,
-0.09852299839258194,
0.2219845950603485,
0.4031883180141449,
0.028895027935504913,
0.5983704924583435,
0.5370011925697327,
-0.8369854688644409,
-0.6883603930473328,
-0.47562655806541443,
0.00006350220064632595,
0.290083110332489,
-0.2690795660018921,
0.5688722729682922,
-0.11779846996068954,
-0.848711371421814,
0.33742159605026245,
-0.24238985776901245,
0.24282054603099823,
0.49242112040519714,
-0.7530875205993652,
0.40819859504699707,
-0.21323631703853607,
0.11636912822723389,
-0.5324212908744812,
0.4942629039287567,
0.15369166433811188,
0.6832358837127686,
-0.020737770944833755,
0.6049835085868835,
0.48801201581954956,
-0.22075697779655457,
0.993797779083252,
0.6305580139160156,
0.32585978507995605,
0.36507517099380493,
0.3681102395057678,
-0.0823742002248764,
0.2038915455341339,
1.0315696001052856,
-0.3250761926174164,
0.3706207871437073,
-1.0258029699325562,
0.6257572770118713,
-0.0026199573185294867,
0.6220051646232605,
0.0045400080271065235,
-0.20141229033470154,
-0.20921845734119415,
0.30203816294670105,
0.23845364153385162,
0.3250657916069031,
-0.016047833487391472,
-0.688663125038147,
-0.026606978848576546,
-0.6884700655937195,
-1.4253722429275513,
-0.21661749482154846,
-0.057486943900585175,
0.7613914608955383,
0.3125942647457123,
0.6303133964538574,
-0.08065091073513031,
-0.7031332850456238,
-0.2534272074699402,
1.3081368207931519,
-0.8860039114952087,
0.45472344756126404,
-0.04019177705049515,
-0.3538380265235901,
-0.1409197747707367,
0.27826717495918274,
-0.25654834508895874,
-0.256771057844162,
-0.2945614159107208,
0.26261618733406067,
0.4267546236515045,
0.2106356918811798,
0.9814485311508179,
-0.32200658321380615,
0.28516310453414917,
0.904200553894043,
-0.2516172230243683,
0.3585212528705597,
0.8078060746192932,
-0.4517073333263397,
-0.45635366439819336,
0.39828550815582275,
0.03977431356906891,
-0.5249732136726379,
-0.36201873421669006,
0.4562120735645294,
-0.024310776963829994,
0.20617392659187317,
-0.49692705273628235,
0.20702069997787476,
0.49033695459365845,
0.04666685312986374,
0.6956524848937988,
-0.47160443663597107,
0.12931902706623077,
0.8547414541244507,
0.12944795191287994,
0.5772655010223389,
-0.7778725028038025,
-0.11990590393543243,
0.31124719977378845,
-0.024123664945364,
0.29497623443603516,
0.47371694445610046,
-0.19432087242603302,
0.42066049575805664,
0.9105544090270996,
0.3257293105125427,
0.7363179326057434,
0.15255850553512573,
0.29056769609451294,
0.6047186851501465,
0.05104682222008705,
-0.593695342540741,
0.8060672879219055,
0.14228206872940063,
-0.32681313157081604,
0.5161423683166504,
0.3883283734321594,
0.06827985495328903,
-0.04008840024471283,
-0.6090330481529236,
-0.5611119270324707,
0.6310966610908508,
-0.3288476765155792,
0.022221896797418594,
-0.8924942016601562,
-0.12188708037137985,
-0.4144262373447418,
0.6508767008781433,
-0.36333075165748596,
-0.2613925039768219,
0.06738113611936569,
0.5163133144378662,
-0.8248937726020813,
0.5161595344543457,
-0.6805328726768494,
-0.6993938684463501,
0.010536749847233295,
0.40495967864990234,
-0.1225675716996193,
0.549027144908905,
-0.08288460224866867,
0.27302461862564087,
-0.6544468402862549,
-0.14266632497310638,
-0.18967139720916748,
0.339548259973526,
-0.3401915431022644,
0.4293500781059265,
-0.6747874617576599,
-0.04607841745018959,
0.8635088205337524,
0.38725289702415466,
-0.39215633273124695,
1.1099481582641602,
0.38397201895713806,
0.15479721128940582,
0.28071707487106323,
0.6064672470092773,
0.3159560263156891,
-0.1654449999332428,
0.5554618835449219,
0.4079829156398773,
-0.24733790755271912,
0.6573907136917114,
0.4938602149486542,
0.516036868095398,
1.1197115182876587,
0.7843639850616455,
0.7111315131187439,
0.16243715584278107,
0.573520302772522,
0.8771421909332275,
1.11556875705719,
0.5227321982383728,
-0.22957518696784973,
0.42228755354881287,
-0.1699257791042328,
-0.40296584367752075,
-1.2059611082077026,
0.31525105237960815,
-0.7003999352455139,
1.2527917623519897,
-0.4652492105960846,
0.7501948475837708,
-1.6065043210983276,
0.07648073136806488,
-0.522827684879303,
0.3440270721912384,
-0.06063555181026459,
-0.45901578664779663,
0.2902393341064453,
-0.19853700697422028,
-0.6732478141784668,
-0.09931275248527527,
0.14254184067249298,
0.6119083166122437,
0.13673387467861176,
-0.4543977677822113,
0.09706511348485947,
-0.18008096516132355,
-0.6895403861999512,
-0.2279871255159378,
-0.26879870891571045,
-0.01196887344121933,
-0.053019728511571884,
0.9411079287528992,
0.6430717706680298,
-0.047984056174755096,
-0.4192212224006653,
0.49258461594581604,
-0.3209647834300995,
0.7566988468170166,
-0.6855695843696594,
0.06949988007545471,
-0.17855483293533325,
0.7014083862304688,
-1.417014479637146,
0.2239437997341156,
-0.871565580368042,
0.06438067555427551,
-0.06125983968377113,
-0.9626891613006592,
0.12272672355175018,
-0.4127102792263031,
0.2712603509426117,
0.854302704334259,
0.14282681047916412,
0.08411139249801636,
-1.1231448650360107,
-0.4471724331378937,
0.2085701823234558,
-0.11822065711021423,
-0.2574661672115326,
-0.24215567111968994,
-0.02458867058157921,
1.6200727224349976,
-0.8993934392929077,
0.057127103209495544,
0.4167259931564331,
0.6110371351242065,
-0.4969783425331116,
0.6974001526832581,
-0.3093258738517761,
1.0801631212234497,
-0.69621342420578,
0.33912569284439087,
0.32801303267478943,
-0.6910312175750732,
-0.1799694448709488,
-1.1389141082763672,
-0.2534899115562439,
0.07019850611686707,
0.7810508608818054,
-0.6033650040626526,
0.7481862902641296,
1.1099940538406372,
0.6922310590744019,
-0.5004650354385376,
0.9572754502296448,
-1.028002142906189,
-0.4685886800289154,
-0.2862260639667511,
-0.277036190032959,
0.35634198784828186,
0.2193250209093094,
0.6154522895812988,
-0.508701503276825,
-0.22748234868049622,
-0.19694246351718903,
0.14112845063209534,
0.46929657459259033,
-0.8092906475067139,
-0.21442987024784088,
0.1991850733757019,
0.4006844460964203,
0.15205484628677368,
0.7778474688529968,
-0.15126453340053558,
0.03804943710565567,
0.4558897912502289,
-0.45070400834083557,
-0.03730442374944687,
-0.7974517941474915,
-0.150062695145607,
-0.49113601446151733,
0.342364639043808,
-0.6175236701965332,
-0.0684618428349495,
-0.3757636249065399,
0.04092235490679741,
0.24880535900592804,
0.5430892109870911,
-0.24105150997638702,
-0.722909152507782,
-0.943358302116394,
-0.34142687916755676,
0.29181328415870667,
0.4741789996623993,
-0.019934752956032753,
-0.3303184509277344,
0.42094865441322327,
0.4781772494316101,
-0.4323573410511017,
-0.23916013538837433,
-0.3686976432800293,
0.39393752813339233,
0.3759618401527405,
1.224148154258728,
0.34887465834617615,
-0.7269006371498108,
-0.061428386718034744,
-0.6719034910202026,
0.07231755554676056,
0.7266592979431152,
0.24075207114219666,
0.13234157860279083,
-0.05185491219162941,
0.42854389548301697,
-0.5560853481292725,
-0.8898633718490601,
-0.08808273822069168,
0.137168750166893,
-0.3428674638271332,
-1.0412570238113403,
-0.037031788378953934,
-0.2183179259300232,
0.43145114183425903,
0.188535675406456,
0.4512392580509186,
-0.06260322779417038,
0.03614580258727074,
0.14628253877162933,
0.12410777807235718,
0.9218960404396057,
-0.7256366610527039,
0.4780344069004059,
0.4373779594898224,
0.2451394498348236,
-0.05469408631324768,
-0.014450518414378166,
0.052649471908807755,
-0.39458563923835754,
-0.28775694966316223,
-0.23241135478019714,
0.20760613679885864,
-0.15838433802127838,
-0.53331059217453,
0.398395299911499,
-0.050421714782714844,
0.43527084589004517,
0.0054823956452310085,
-1.0801469087600708,
-0.26902762055397034,
0.781736433506012,
0.7298423647880554,
-0.6744439601898193,
0.4847540855407715,
-0.33563992381095886,
0.4728855788707733,
0.4008396863937378,
0.06887167692184448,
-0.5990439057350159,
-0.28072598576545715,
0.10020358115434647,
-0.43594178557395935,
-0.06152547895908356,
-0.0010036176536232233,
0.5790011286735535,
-0.3611089587211609,
-0.2748280167579651,
-0.3050735592842102,
0.5789383053779602,
-0.6329817175865173,
0.12614518404006958,
0.05639876425266266,
0.4053420126438141,
0.5209341645240784,
0.605157732963562,
0.09892986714839935,
-0.6951448917388916,
-0.7597993016242981,
0.19712501764297485,
-0.04578413441777229,
0.2732151448726654,
-1.0240199565887451,
0.3338187038898468,
0.40624740719795227,
-0.09059794247150421,
0.978524923324585,
-0.44894516468048096,
-0.6167997121810913,
0.015102637931704521,
-0.5300461053848267,
0.19089701771736145,
-0.40940535068511963,
0.3124188780784607,
0.7591996192932129,
1.337887167930603,
0.7612304091453552,
-0.3670063018798828,
0.013934005051851273,
0.06525154411792755,
0.687146008014679,
-0.06202060729265213,
-0.005738008301705122,
-1.188828468322754,
-0.3437638580799103,
0.15631048381328583,
-0.8385524749755859,
0.8763104677200317,
-0.47243377566337585,
0.48055753111839294,
-0.7646629214286804,
-0.43521931767463684,
-0.18069395422935486,
-0.3447358310222626,
-0.3361426889896393,
-0.2528761625289917,
-0.3755609393119812,
0.5684136748313904,
-1.0163631439208984,
-0.4831235110759735,
-0.3073361814022064,
-0.2643837630748749,
0.5563890933990479,
-0.23537284135818481,
0.016921456903219223,
0.013831877149641514,
0.41217416524887085,
0.31046262383461,
0.12128773331642151,
0.3385744094848633,
-0.9866108894348145,
0.6075432300567627,
-0.3557033836841583,
0.38255056738853455,
-0.4548792243003845,
-0.07287383079528809,
-0.9314075708389282,
0.25428393483161926,
-0.7426267862319946,
0.3329549729824066,
-0.004235000349581242,
-0.05459356680512428,
-0.4658903181552887,
0.9977285265922546,
0.35932040214538574,
-0.49812594056129456,
-0.4788843095302582,
0.8375436663627625,
0.7038750648498535,
-0.46554139256477356,
-0.7314743995666504,
0.6918695569038391,
0.018023131415247917,
0.022380776703357697,
-0.36711016297340393,
0.04255667328834534,
-0.17202647030353546,
-0.05133671313524246,
0.2783249318599701,
-0.8763624429702759,
-0.7341305613517761,
-0.8935759663581848,
0.13578729331493378,
-0.5614802837371826,
0.26617735624313354,
0.6402843594551086,
-0.6864051818847656,
0.03737107664346695,
-1.0479509830474854,
0.27151253819465637,
0.18876676261425018,
-0.1761849969625473,
-1.4712681770324707,
-0.14993326365947723,
-0.43811511993408203,
0.6599090695381165,
-0.5153988599777222,
-0.14932836592197418,
0.18099361658096313,
0.10006296634674072,
-0.1970173716545105,
0.8621616363525391,
-0.08331246674060822,
0.1980970948934555,
-0.0666293129324913,
-0.5095417499542236,
-0.3397499918937683,
0.49074462056159973,
-0.12386935204267502,
0.1379794329404831,
-1.5418286323547363,
0.37864553928375244,
-0.5724074840545654,
0.8061680793762207,
-0.07653636485338211,
-0.17491933703422546,
0.7413076758384705,
-0.12084384262561798,
-0.10084705799818039,
0.1958254724740982,
-0.2256845235824585,
0.5513595342636108,
-0.0879170298576355,
-0.8843199610710144,
-0.6894894242286682,
-0.0536411851644516,
-1.1644694805145264,
0.5990345478057861,
-0.17882058024406433,
-0.27006369829177856,
-0.43105563521385193,
-0.6655072569847107,
-0.5123271346092224,
0.014729471877217293,
-0.5644145607948303,
0.5454121828079224,
0.29963696002960205,
0.8935040235519409,
-0.18140341341495514,
1.0693180561065674,
0.41582584381103516,
-0.581008791923523,
0.310579389333725,
0.22648738324642181,
-0.1462368667125702,
0.24485042691230774,
-0.006637583486735821,
-0.858362078666687,
-0.4077655076980591,
0.5427013039588928,
0.2887793481349945,
-1.1217771768569946,
0.7536481618881226,
0.5389190912246704,
-0.9321958422660828,
-0.1800977885723114,
0.5709764957427979,
-0.8987461924552917,
0.0299016535282135,
0.2042011022567749,
0.020960669964551926,
0.051248494535684586,
0.34546977281570435,
-0.1673509031534195,
0.09975562989711761,
-0.39748862385749817,
0.054847706109285355,
-1.2079821825027466,
-0.3829621374607086,
-0.39535897970199585,
0.9021832346916199,
-0.2836504578590393,
-0.2364143431186676,
-0.948473334312439,
0.7377533912658691,
0.06678656488656998,
-1.024235486984253,
0.6433094143867493,
-0.015415157191455364,
-0.464637815952301,
0.4313179552555084,
0.2964727282524109,
0.17688854038715363,
-0.1658685803413391,
-0.048608358949422836,
0.37391024827957153,
-1.039167881011963,
1.0702322721481323,
0.7552878260612488,
0.23004551231861115,
-0.7130724787712097,
-0.5008350610733032,
0.4261438548564911,
-0.6763771772384644,
-0.03140716627240181,
0.389290988445282,
0.6368674039840698,
-0.40129825472831726,
0.12703514099121094,
-0.2398378700017929,
0.7531548142433167,
0.07813776284456253,
0.1736864447593689,
0.053303856402635574,
-0.7696622610092163,
-0.7659828662872314,
0.1606096476316452,
0.3571834862232208,
1.0492627620697021,
0.4203081727027893,
0.03570176661014557,
-0.08459186553955078,
0.009357268922030926,
0.501713216304779,
-0.6782780289649963,
-0.608771562576294,
-0.3887464702129364,
-0.6850335597991943,
-0.9100784659385681,
-1.049170970916748,
-0.17629268765449524,
-0.8223860859870911,
0.1086232140660286,
-0.6108120679855347,
0.6900014281272888,
0.5540578365325928,
0.35402941703796387,
0.07956891506910324,
1.0944544076919556,
-0.27222689986228943,
-0.4034063518047333,
-1.1321744918823242,
-0.2656511664390564,
0.10070069134235382,
-0.408081978559494,
-0.08364085108041763,
0.202291339635849,
-0.14893276989459991,
0.6303268671035767,
-0.216010183095932,
-0.09247135370969772,
-0.9941904544830322,
0.211162731051445,
-0.00295425858348608,
-0.026909148320555687,
0.10893987864255905,
0.16444332897663116,
-0.4329990744590759,
0.6189829111099243,
-0.3348352611064911,
-0.3751969337463379,
-0.31003543734550476,
0.07247208803892136,
-0.536980152130127,
-0.03142600879073143,
-0.7527428865432739,
-0.4212911128997803,
0.18430021405220032,
-0.4227021336555481,
-0.34331944584846497,
0.49628475308418274,
-0.9257925748825073,
0.2640758752822876,
-0.6016669273376465,
0.621525228023529,
-0.7234398126602173,
0.13316412270069122,
0.4046638607978821,
0.971011221408844,
-1.2276411056518555,
0.3893468976020813,
-0.38982072472572327,
0.2692908048629761,
-0.26968610286712646,
-0.5320465564727783,
0.33991381525993347,
0.04601357877254486,
0.7486059665679932,
-0.6374115943908691,
-0.402992308139801,
0.992929220199585,
-0.3546983301639557,
0.48527151346206665,
0.1611316204071045,
-0.33793559670448303,
-0.8313344120979309,
-1.430815577507019,
-0.17747893929481506,
1.2595627307891846,
-0.14705310761928558,
0.5547723174095154,
0.016869237646460533,
0.5557798147201538,
-0.17298580706119537,
-0.4356384575366974,
-0.5303874611854553,
-0.7733548879623413,
-0.4687814712524414,
0.06311513483524323,
-0.3421134054660797,
0.319206178188324,
-0.8114053606987,
0.20856037735939026,
-0.6510910987854004,
0.8709353804588318,
0.058063678443431854,
-0.10577532649040222,
-0.35152900218963623,
-0.29389870166778564,
-0.9158598184585571,
0.4559166431427002,
-0.12739576399326324,
0.3015305697917938,
-0.39343902468681335,
-0.34826788306236267,
0.08458203822374344,
0.10232505947351456,
-0.4940769374370575,
-0.011741154827177525,
-0.41165250539779663,
0.26857635378837585,
-0.44815248250961304,
0.49525129795074463,
-0.5480688810348511,
0.4594665765762329,
-0.9371165633201599,
0.27682507038116455,
0.3118920624256134,
-0.3573875427246094,
-0.4810372292995453,
-0.11714502424001694,
-0.4370839297771454,
0.1724674254655838,
-0.07017835974693298,
0.4876893162727356,
-0.19384510815143585,
-0.4646168351173401,
0.2640540599822998,
0.39378252625465393,
-0.016944225877523422,
0.19685576856136322,
-0.21180886030197144,
0.03325177729129791,
0.6646240949630737,
0.13344967365264893,
0.2437862902879715,
-0.10567270219326019,
0.3905452489852905,
0.5986778140068054,
0.45671242475509644,
-0.22197376191616058,
0.8516530990600586,
0.18787340819835663,
-0.07558400928974152,
-0.02010517753660679,
-0.8312674760818481,
0.09266530722379684,
0.021282436326146126,
0.20384596288204193,
-0.27479490637779236,
-0.11230452358722687,
0.35671231150627136,
0.7408343553543091,
-0.17330029606819153,
0.49075573682785034,
-1.0190346240997314,
0.4345606565475464,
-0.772974967956543,
-1.057661771774292,
-0.09095498919487,
-0.5089028477668762,
0.714363694190979,
0.06309477984905243,
0.4050775170326233,
0.5048317909240723,
-0.379448264837265,
0.16479340195655823,
0.44435036182403564,
0.9964050650596619,
0.4408095180988312,
0.7247724533081055,
0.46514463424682617,
0.16388067603111267,
-0.21002677083015442,
-0.40067487955093384,
-0.17478793859481812,
0.4291397035121918,
-0.5633338689804077,
0.2105255275964737,
0.4726908206939697,
-0.5294584035873413,
-0.4238544702529907,
-0.6263467073440552,
0.36318886280059814,
-0.36764538288116455,
0.020767850801348686,
-0.02904105931520462,
-0.01644991710782051,
-0.153823122382164,
1.0127638578414917,
-0.07104374468326569,
-0.013857994228601456,
0.3707554042339325,
0.42077401280403137,
-0.5722018480300903,
0.1748877763748169,
1.0233765840530396,
0.03713955357670784,
-0.21273162961006165,
-0.48534899950027466,
-1.0846376419067383,
0.3058132529258728,
0.021504255011677742,
0.021492108702659607,
0.0861787274479866,
-1.4084465503692627,
-0.19726796448230743,
-0.5789557695388794,
0.0569542832672596,
-0.5887302756309509,
-0.09610623121261597,
-0.0447954460978508,
0.9247432947158813,
-0.692593514919281,
0.011250274255871773,
0.592786967754364,
-0.024667974561452866,
0.794833779335022,
-0.49207034707069397,
-0.1515360176563263,
-0.6115966439247131,
0.6886473894119263,
-1.062111735343933,
0.1755864918231964,
-0.27956515550613403,
-0.48376137018203735,
-0.5508275032043457,
0.4936128854751587,
0.026856785640120506,
-0.6516404151916504,
-0.35093408823013306,
-0.5704779624938965,
0.1330040991306305,
-0.1553546041250229,
-0.012870194390416145,
0.791845440864563,
-0.5892347097396851,
0.7212366461753845,
0.37279772758483887,
0.8360951542854309,
0.45541247725486755,
0.5013834238052368,
1.140366792678833,
0.6236443519592285,
-1.1173226833343506,
0.5495636463165283,
1.2028529644012451,
0.0297743808478117,
0.5813148617744446,
0.48849114775657654,
0.14148730039596558,
-0.18653497099876404,
-0.6921802759170532,
0.5293969511985779,
0.2093290537595749,
0.33452868461608887,
-0.8520010113716125,
-0.512679934501648,
-0.2372717559337616,
-1.72100830078125,
-0.4356829822063446,
-0.6217849254608154,
0.6824271082878113,
-0.4744527339935303,
-0.32905957102775574,
0.20617935061454773,
-0.7388635873794556,
3.9333479404449463,
1.1442806720733643,
0.5495051145553589,
0.25217005610466003,
0.8559229373931885,
0.7654512524604797,
0.01479650754481554,
0.6379734873771667,
0.24583110213279724,
-1.035866379737854,
0.2725874185562134,
-0.206198588013649,
0.5254256129264832,
-0.1378265619277954,
0.9120230674743652,
0.0008919586543925107,
0.4201868176460266,
0.5670884847640991,
0.00034645700361579657,
-1.3174495697021484,
-0.7525505423545837,
-0.17861956357955933,
0.9902492165565491,
0.19045932590961456,
0.24462679028511047,
0.4920561909675598,
-0.15458890795707703,
-0.746169924736023,
-0.337085485458374,
-0.39563384652137756,
-1.4715369939804077,
-0.772232174873352,
-0.0890987366437912,
0.44105055928230286,
-0.23923933506011963,
0.9794023036956787,
-0.1015796959400177,
-0.06770951300859451,
-0.5050641298294067,
-0.724677562713623,
0.5080503225326538,
-0.30332428216934204,
0.4256109297275543,
-0.7429865002632141,
0.6416833400726318,
0.35595011711120605,
0.23703503608703613,
0.3724679946899414,
0.05457679554820061,
-0.705249547958374,
0.033393483608961105,
-0.88438880443573,
0.0869174525141716,
0.5895432233810425,
-1.69925856590271,
-0.6117521524429321,
-0.12144988030195236,
0.3023020327091217,
0.3052116930484772,
-0.31030380725860596,
0.30757537484169006,
1.008602499961853,
-0.3519502282142639,
0.3598916530609131,
-0.7252620458602905,
0.6010461449623108,
0.4095768630504608,
-0.3670167028903961,
0.0030325481202453375,
0.6102735996246338,
-0.5067810416221619,
-0.6004159450531006,
-0.1808631867170334,
-0.7582905292510986,
-0.0885985791683197,
-0.48687925934791565,
-0.14476360380649567,
0.6734619140625,
-0.03593359515070915,
0.6549078226089478,
0.23723751306533813,
0.49597734212875366,
-0.2931959331035614,
0.5342341661453247,
0.14271971583366394,
0.651460587978363,
-0.46230262517929077,
0.03991425782442093,
-0.6786222457885742,
0.2748022973537445,
1.0244213342666626,
0.939760684967041,
-0.034701716154813766,
-0.2423127293586731,
-0.9642640352249146
] |
1410.7453
|
Cody Hyndman
|
Cody B. Hyndman and Menachem Wenger
|
GMWB Riders in a Binomial Framework - Pricing, Hedging, and
Diversification of Mortality Risk
|
41 pages, 11 figures; This paper combines a previous version titled
"Pricing and Hedging GMWB Riders in a Binomial Framework" (arXiv:1410.7453v1)
and the working paper titled "Diversification of mortality risk in GMWB rider
pricing and hedging"
| null | null | null |
q-fin.PR q-fin.CP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct a binomial model for a guaranteed minimum withdrawal benefit
(GMWB) rider to a variable annuity (VA) under optimal policyholder behaviour.
The binomial model results in explicitly formulated perfect hedging strategies
funded using only periodic fee income. We consider the separate perspectives of
the insurer and policyholder and introduce a unifying relationship.
Decompositions of the VA and GMWB contract into term-certain payments and
options representing the guarantee and early surrender features are extended to
the binomial framework. We incorporate an approximation algorithm for Asian
options that significantly improves efficiency of the binomial model while
retaining accuracy. Several numerical examples are provided which illustrate
both the accuracy and the tractability of the binomial model. We extend the
binomial model to include policy holder mortality and death benefits. Pricing,
hedging, and the decompositions of the contract are extended to incorporate
mortality risk. We prove limiting results for the hedging strategies and
demonstrate mortality risk diversification. Numerical examples are provided
which illustrate the effectiveness of hedging and the diversification of
mortality risk under capacity constraints with finite pools.
|
[
{
"version": "v1",
"created": "Mon, 27 Oct 2014 22:42:48 GMT"
},
{
"version": "v2",
"created": "Wed, 6 Jul 2016 16:30:53 GMT"
}
] | 2016-07-07T00:00:00
|
[
[
"Hyndman",
"Cody B.",
""
],
[
"Wenger",
"Menachem",
""
]
] |
[
0.9055721759796143,
0.7465723752975464,
0.032342035323381424,
0.2988818287849426,
0.5417390465736389,
-0.5963738560676575,
0.06720321625471115,
0.019874656572937965,
0.3874662220478058,
0.5839244723320007,
0.6627089977264404,
0.019864078611135483,
-0.07058007270097733,
-0.19207631051540375,
-0.4924314618110657,
0.4969097077846527,
-0.7312777042388916,
-0.32639428973197937,
-0.9994527101516724,
0.2243691384792328,
-0.5113354325294495,
-0.21292421221733093,
-0.9925571084022522,
-0.2869158387184143,
-0.5167725086212158,
0.5936572551727295,
-0.04157085716724396,
-0.2826298773288727,
1.9305747747421265,
0.3400097191333771,
0.3118697702884674,
-0.11128422617912292,
0.17116238176822662,
-0.6930236220359802,
-0.19568325579166412,
-0.0272599458694458,
-0.4153122901916504,
-0.525361955165863,
-0.5800246596336365,
-0.19463860988616943,
0.33907270431518555,
-0.355511337518692,
0.6986404061317444,
0.023721858859062195,
-0.6485399007797241,
-0.22702521085739136,
-0.42231422662734985,
-0.5413094758987427,
0.5457499027252197,
-0.9400041103363037,
-0.17458179593086243,
-0.21691091358661652,
0.25011956691741943,
-1.101094126701355,
-0.32048171758651733,
-0.056849405169487,
0.026618588715791702,
-0.18044504523277283,
-0.16686592996120453,
0.6914288997650146,
0.2059890776872635,
-0.9764559268951416,
0.28768840432167053,
-0.7890155911445618,
0.33525171875953674,
0.5891737341880798,
0.25185322761535645,
0.4620612561702728,
0.05208025500178337,
-0.5370530486106873,
0.11861111968755722,
-0.6226797103881836,
-0.29561132192611694,
-0.2680512070655823,
-0.150240957736969,
0.46233704686164856,
0.9420390725135803,
0.2687267065048218,
-0.48967471718788147,
-0.7365052103996277,
0.44140884280204773,
-0.12279713898897171,
-0.5348789095878601,
0.14492511749267578,
-0.3713640570640564,
0.5454120635986328,
0.5877698063850403,
0.29213008284568787,
0.033811766654253006,
0.2236921787261963,
-0.02353138104081154,
0.2792641520500183,
0.29927000403404236,
-0.01359818410128355,
-0.3858652412891388,
0.4971808195114136,
-0.6427727937698364,
0.6995493769645691,
0.05671647563576698,
1.0402636528015137,
0.3838481307029724,
0.17654840648174286,
-0.4253592789173126,
0.7383155226707458,
-0.35310181975364685,
0.5112402439117432,
0.4814700186252594,
-0.4967944622039795,
-0.7161142826080322,
-0.3992295265197754,
0.15974003076553345,
-0.3145197033882141,
-0.3166181445121765,
-0.3701135814189911,
0.3119885325431824,
0.508289098739624,
-0.47965073585510254,
0.8581018447875977,
-0.7642548084259033,
0.14507925510406494,
0.30031871795654297,
0.3291148245334625,
0.09605888277292252,
0.6140277981758118,
0.11343729496002197,
-0.4032934606075287,
0.016879236325621605,
0.49999716877937317,
-1.4765043258666992,
-0.20249667763710022,
-0.009379511699080467,
-0.089119091629982,
-0.06557007879018784,
0.5830467343330383,
0.2966665029525757,
-0.04318052902817726,
0.38118040561676025,
0.44711270928382874,
0.5210193991661072,
0.3167664408683777,
0.1452770084142685,
-0.5275043845176697,
0.06072143837809563,
0.7765708565711975,
-0.22422008216381073,
0.5038982033729553,
0.4875261187553406,
-0.9369500279426575,
-0.39814677834510803,
0.5839167237281799,
-0.2614443004131317,
0.36700838804244995,
-0.33994075655937195,
-0.2146264910697937,
0.22932249307632446,
-0.6564915776252747,
-0.34201136231422424,
0.027985047549009323,
-0.21251033246517181,
-0.24436572194099426,
-0.42079582810401917,
-0.3980088233947754,
0.11641667783260345,
0.871771514415741,
-1.2586709260940552,
0.152202308177948,
0.07884600758552551,
0.33986714482307434,
-0.23870746791362762,
-0.37692347168922424,
0.5035800337791443,
-0.733089804649353,
-0.05037045478820801,
-0.3744058907032013,
0.8053404092788696,
1.0459048748016357,
1.2976008653640747,
-0.324216365814209,
0.9365384578704834,
0.12397782504558563,
-0.7622634172439575,
0.30884525179862976,
0.1807371973991394,
0.4372807443141937,
0.3847048878669739,
-0.17756837606430054,
-0.21492305397987366,
0.36307623982429504,
-0.23691655695438385,
-0.44199562072753906,
0.4539693295955658,
-0.1402776539325714,
0.20886890590190887,
0.31021830439567566,
-0.5230335593223572,
0.375077486038208,
0.5941261053085327,
0.28520509600639343,
-0.24158795177936554,
0.4678683578968048,
-0.444526731967926,
-0.10247929394245148,
-0.43079450726509094,
0.25119537115097046,
-0.9165928959846497,
0.23281244933605194,
0.023121563717722893,
-0.05509583279490471,
-0.8845353126525879,
0.17087076604366302,
-0.004843504633754492,
0.06734218448400497,
-0.2344626933336258,
-0.7116312384605408,
-0.051829736679792404,
0.519244909286499,
-0.4910031259059906,
-0.2839927673339844,
-0.1573408842086792,
-0.39682337641716003,
0.4113602936267853,
-0.06489087641239166,
-0.7685311436653137,
0.47567248344421387,
0.2400595247745514,
-0.7564713954925537,
0.0003521151083987206,
0.22658255696296692,
-0.582040548324585,
-0.1451445370912552,
0.21667811274528503,
0.12601472437381744,
0.38484132289886475,
1.3377004861831665,
0.672280490398407,
0.6668903231620789,
0.5473535656929016,
0.5842229723930359,
0.28283607959747314,
0.6168615221977234,
1.0726127624511719,
-0.4758695662021637,
0.6538895964622498,
0.17057910561561584,
0.23236322402954102,
0.23543895781040192,
-0.06884171813726425,
-0.3634416162967682,
0.0952274277806282,
-0.04878624901175499,
-0.8935079574584961,
0.7946721911430359,
-1.0112872123718262,
0.6992928981781006,
-0.26134783029556274,
-0.3825070261955261,
0.1092643290758133,
-0.357332706451416,
-0.780407726764679,
-0.3676966428756714,
-0.5343070030212402,
0.4741937816143036,
-0.7822315692901611,
-0.17634589970111847,
0.41595959663391113,
0.3143000900745392,
0.5485197901725769,
-0.48264655470848083,
0.48664239048957825,
0.02704470418393612,
-0.05509842559695244,
-0.47162336111068726,
-0.6289621591567993,
-0.03240970894694328,
-0.1210969015955925,
-0.5970274806022644,
0.3464421331882477,
-0.03925072401762009,
-0.6229498982429504,
-1.2791458368301392,
0.48086270689964294,
0.47957906126976013,
-0.8664954900741577,
0.3621926009654999,
-0.1503872275352478,
-0.06826400756835938,
-1.3139140605926514,
0.13020390272140503,
-0.1876489222049713,
-0.008308888413012028,
0.5529568195343018,
-0.19880911707878113,
0.5384846329689026,
-0.08943162113428116,
0.40772393345832825,
-0.6444140672683716,
-0.3466512858867645,
0.04167652130126953,
-0.4206724464893341,
-0.2736554741859436,
0.16599777340888977,
-0.27339857816696167,
0.9713222980499268,
-0.037626780569553375,
-0.3433591425418854,
0.4850881099700928,
-0.1767333447933197,
-0.7343176007270813,
0.3770381808280945,
-0.12682707607746124,
-0.9220534563064575,
0.31697365641593933,
-0.27475789189338684,
-0.1903640478849411,
-0.4416787326335907,
0.1752680242061615,
0.6109437346458435,
-0.6401247382164001,
0.024363573640584946,
-0.3869275450706482,
0.2829272747039795,
-0.2071782946586609,
0.08928965777158737,
-0.11916366964578629,
-0.0197112038731575,
0.45826154947280884,
0.19551603496074677,
-0.9633566737174988,
0.23064176738262177,
0.22365309298038483,
-0.7621744275093079,
-0.456479012966156,
-0.39762282371520996,
0.4266497492790222,
-0.1764228641986847,
-0.7833528518676758,
-0.22267109155654907,
-0.44070494174957275,
-0.13550420105457306,
0.5333836674690247,
0.6827141046524048,
-0.7300736904144287,
0.6139637231826782,
0.4137535095214844,
0.40592479705810547,
-0.03008950874209404,
0.6048546433448792,
-0.48973163962364197,
0.07713454216718674,
-0.2723790407180786,
-0.2787995934486389,
0.811819851398468,
0.28307926654815674,
-0.24795715510845184,
-0.09654152393341064,
0.4839584231376648,
0.5081669688224792,
0.6280767917633057,
-0.2470787614583969,
0.36029714345932007,
0.4439309537410736,
0.33184200525283813,
-0.2833777070045471,
0.30031996965408325,
-0.41276997327804565,
-0.8977528214454651,
0.00811726599931717,
0.6453315615653992,
0.7020145654678345,
-1.1073546409606934,
0.9163063168525696,
0.0716608315706253,
-0.5008270740509033,
-0.5393235087394714,
-0.06583312898874283,
0.23741556704044342,
0.012892963364720345,
1.0607060194015503,
0.4492057263851166,
-0.9685893654823303,
-0.28949734568595886,
0.36764997243881226,
0.5331308245658875,
0.5105004906654358,
0.2790854871273041,
0.29893958568573,
-0.31713584065437317,
-0.26485174894332886,
-0.5599193572998047,
-0.47640225291252136,
-0.7186241745948792,
-0.5056378841400146,
-0.7115722894668579,
0.15821953117847443,
-0.7039201259613037,
-0.3843420743942261,
-0.29422467947006226,
0.011224454268813133,
0.15395262837409973,
-0.06329075992107391,
0.9926468133926392,
-0.14483681321144104,
0.24887590110301971,
0.3733420670032501,
0.7464572191238403,
-0.3473517596721649,
-0.3264462947845459,
-0.057716820389032364,
-0.6604907512664795,
-0.24281562864780426,
-0.4720723032951355,
-0.47117429971694946,
-0.0710056945681572,
-0.3201194405555725,
-0.33867475390434265,
0.23231415450572968,
-0.6086515784263611,
0.2803320586681366,
-0.5901921391487122,
0.6680435538291931,
0.8390927910804749,
-0.6566676497459412,
-0.21959128975868225,
0.6108711361885071,
0.4591965079307556,
-1.0475163459777832,
0.14144586026668549,
-0.6421040296554565,
0.2970182001590729,
0.5672438144683838,
-0.10269790142774582,
-0.4396100640296936,
0.07572920620441437,
-0.48613837361335754,
-0.533663272857666,
0.3998895287513733,
0.5646956562995911,
-1.100885033607483,
0.13423335552215576,
-0.09996942430734634,
0.5855746269226074,
0.08075681328773499,
0.1376650482416153,
-0.5769317746162415,
0.6961818933486938,
0.1586427241563797,
0.1570332795381546,
0.14522387087345123,
-0.05220891162753105,
-0.22452418506145477,
0.47209054231643677,
0.06355840712785721,
0.4263673722743988,
-0.537367045879364,
-0.925329864025116,
0.11586088687181473,
0.7159437537193298,
-0.33756983280181885,
-0.190526083111763,
0.0343325100839138,
0.3731516897678375,
-0.2822117507457733,
0.09051860123872757,
-0.4374358057975769,
0.14049944281578064,
0.5396982431411743,
0.1305333971977234,
0.2593334913253784,
1.7627806663513184,
-0.9494605660438538,
-0.14910544455051422,
0.2779158353805542,
-0.08546171337366104,
-0.26257967948913574,
0.16680744290351868,
0.1264091581106186,
0.046513721346855164,
-0.6294962167739868,
-0.5568625330924988,
0.4911007583141327,
-0.8504748940467834,
0.6424084901809692,
-0.013581563718616962,
-0.03660600632429123,
-0.2303040325641632,
-0.9290717840194702,
-0.20462621748447418,
-0.38324669003486633,
-0.3855084180831909,
0.11307337880134583,
-0.24836194515228271,
-0.5560852885246277,
-0.08205951005220413,
-0.5593290328979492,
-0.5956502556800842,
-0.12644991278648376,
-0.3868267834186554,
0.06289058178663254,
0.24455824494361877,
-0.5301203727722168,
0.4733137786388397,
-0.15513308346271515,
-0.07976800203323364,
0.7862787246704102,
-0.2200985699892044,
0.12433069944381714,
-0.6116340160369873,
-0.7610147595405579,
-0.5033828616142273,
0.31729957461357117,
-0.3897412121295929,
-0.015440591610968113,
-0.17902182042598724,
0.5469388365745544,
0.00318493926897645,
0.18683186173439026,
-0.18521718680858612,
-0.4037492275238037,
0.41852033138275146,
0.7078543305397034,
-0.405556857585907,
-1.3271034955978394,
-0.5379541516304016,
0.00892393197864294,
-0.06489939242601395,
0.2185823917388916,
-0.3629966974258423,
-0.0852990448474884,
-0.057683687657117844,
-0.43504300713539124,
-0.06228562816977501,
-0.4342772662639618,
-0.37725526094436646,
-0.601545512676239,
-0.3739793598651886,
-0.032512225210666656,
0.3384106457233429,
0.6400772333145142,
-0.31638166308403015,
-0.335071325302124,
-0.5274658203125,
0.6327625513076782,
-0.5693668127059937,
-0.08067205548286438,
-0.1158193051815033,
-0.3057261109352112,
0.25056689977645874,
0.9006317853927612,
-0.09591313451528549,
-0.2298443615436554,
0.05296831950545311,
-0.5738378167152405,
0.3913721442222595,
0.9631196856498718,
0.26907670497894287,
0.015672490000724792,
0.33085206151008606,
0.2630392014980316,
0.2248949408531189,
-0.28302040696144104,
-0.3652576804161072,
0.9419084787368774,
-0.6134791374206543,
0.2908800542354584,
-0.4427914619445801,
0.09574183076620102,
-0.3983575701713562,
-0.596916913986206,
0.14205671846866608,
-0.7063671350479126,
-0.017380572855472565,
-0.4167565107345581,
0.03963162377476692,
0.6210087537765503,
-0.3804994225502014,
-0.813176155090332,
-0.18525166809558868,
-0.3070029020309448,
-0.6415764093399048,
0.9508163332939148,
-0.0698452889919281,
0.22408270835876465,
-0.2960178256034851,
-1.3593627214431763,
0.2220393270254135,
0.2107110619544983,
0.3736976683139801,
0.9720044136047363,
-0.40990719199180603,
0.22395244240760803,
0.4334522485733032,
0.004621259868144989,
0.4470672905445099,
0.2479214370250702,
0.5837690830230713,
-0.046241626143455505,
0.4225615859031677,
0.16305367648601532,
-0.8028960227966309,
-0.8524776697158813,
-0.2109229862689972,
0.5300707817077637,
-0.33195823431015015,
-0.4125131368637085,
0.19075347483158112,
-1.0406395196914673,
-0.999249279499054,
-0.11693111807107925,
0.5721137523651123,
-0.12573064863681793,
-0.13446660339832306,
0.7735432386398315,
0.05845010653138161,
-0.07036161422729492,
0.2523440718650818,
-0.6400022506713867,
0.9308474659919739,
-0.2912009656429291,
0.8150479793548584,
0.12705710530281067,
-0.5169956684112549,
0.99978107213974,
0.42018797993659973,
-0.44398170709609985,
-0.07181128114461899,
0.2696085274219513,
0.12458686530590057,
0.2800108790397644,
0.17755037546157837,
0.34583601355552673,
0.4223429262638092,
-0.7641564607620239,
0.9679749011993408,
-0.14610515534877777,
-0.30388209223747253,
0.24575218558311462,
-0.36579665541648865,
0.5543943047523499,
-0.6472655534744263,
0.5777967572212219,
-0.04127711057662964,
0.480363667011261,
0.6207377314567566,
-0.0572415255010128,
0.2038644403219223,
-0.2119799256324768,
-0.1245884969830513,
0.26603424549102783,
-0.2821529805660248,
-0.3920689523220062,
0.7138583064079285,
0.46671542525291443,
1.3544890880584717,
-0.1824396699666977,
0.12664364278316498,
-0.09565330296754837,
-0.5475319027900696,
-0.11841662228107452,
-0.38997766375541687,
-0.47991618514060974,
0.3176807165145874,
-0.030820723623037338,
0.3033604621887207,
0.16767334938049316,
-0.27861982583999634,
0.34018880128860474,
0.2111566662788391,
-1.062620759010315,
-0.5938203930854797,
-0.6263247132301331,
-0.45079001784324646,
-0.608768105506897,
-0.11618219316005707,
0.5111263394355774,
0.49007007479667664,
0.14027981460094452,
-0.17665356397628784,
0.36700764298439026,
0.5023693442344666,
0.6307277679443359,
-0.24567607045173645,
-0.6344122886657715,
-0.1861446052789688,
-0.5358783006668091,
-0.7502074837684631,
-0.8861938714981079,
-0.4837132394313812,
0.5542087554931641,
1.0119298696517944,
-0.48144564032554626,
0.4856204092502594,
0.09004738181829453,
-0.23561151325702667,
-0.3440830707550049,
-0.39337167143821716,
-0.2784196734428406,
-0.1304553896188736,
-0.0550197958946228,
0.11840382218360901,
-0.024488603696227074,
0.9436628222465515,
0.5464727282524109,
-0.2832385301589966,
0.19647100567817688,
-0.646940290927887,
-0.08338584005832672,
-0.6919734477996826,
0.5242047309875488,
0.18876369297504425,
0.4133501350879669,
-0.17138992249965668,
-0.3752138614654541,
0.4662223160266876,
-0.5871065258979797,
0.14311937987804413,
0.38479891419410706,
0.27279940247535706,
-0.015434691682457924,
0.24085570871829987,
-0.7047378420829773,
0.3665066063404083,
-0.05471925437450409,
0.9005858302116394,
0.2357577532529831,
0.26246124505996704,
0.8239870071411133,
0.45916131138801575,
-0.39202454686164856,
-0.13792282342910767,
-0.00541709503158927,
-0.9418082237243652,
0.30399245023727417,
-0.03251476585865021,
0.2250409573316574,
-0.31964507699012756,
-0.1687837690114975,
0.3317822515964508,
-0.5930455327033997,
-0.8657346963882446,
-0.40065324306488037,
0.7381596565246582,
0.6871641874313354,
0.42129194736480713,
0.5220295786857605,
-0.730599582195282,
-0.42052018642425537,
-1.0915501117706299,
-1.0450332164764404,
-0.6464381814002991,
0.6483651995658875,
-0.41945940256118774,
0.3167731761932373,
-0.15279774367809296,
-0.031435396522283554,
-0.34906813502311707,
0.015271352604031563,
0.18153315782546997,
0.10427380353212357,
1.139480471611023,
-0.3250020146369934,
0.16689997911453247,
-0.1962074339389801,
0.21614114940166473,
0.6968020796775818,
0.589471161365509,
-0.599295973777771,
-0.8513761162757874,
-0.6518321633338928,
0.8676040768623352,
-0.5568567514419556,
0.13000261783599854,
-0.20660261809825897,
-0.490795761346817,
0.20542433857917786,
0.371053546667099,
-0.7495757937431335,
0.24155887961387634,
-0.22349731624126434,
-0.26820623874664307,
0.4571324586868286,
-0.09652165323495865,
-0.42369017004966736,
0.682080090045929,
-0.1262136846780777,
-0.43046143651008606,
-0.9724715948104858,
0.1484781801700592,
0.2766329050064087,
-0.2515426576137543,
0.867265522480011,
-0.10988427698612213,
1.6271893978118896,
0.34079134464263916,
-0.2957702577114105,
0.15452654659748077,
0.7825597524642944,
0.6155033707618713,
0.47374463081359863,
-0.204117089509964,
-0.1165718287229538,
0.21170155704021454,
0.6689184904098511,
-0.672163724899292,
0.3820471167564392,
0.028625663369894028,
0.04296546429395676,
0.42717060446739197,
-0.39014214277267456,
0.3342788517475128,
-0.8217438459396362,
-0.30901286005973816,
-0.401130348443985,
0.4050973057746887,
0.8026862144470215,
0.031744468957185745,
-0.6261566281318665,
0.4258188009262085,
-0.5665948390960693,
-0.15229319036006927,
-0.2476673275232315,
-0.4327342212200165,
0.9156569838523865,
-0.013399605639278889,
0.0340808667242527,
-0.4402778446674347,
0.4848230481147766,
-0.4242732524871826,
0.3087817132472992,
0.4364253282546997,
0.46373820304870605,
-0.006684768479317427,
-0.5510630011558533,
0.21447686851024628,
-0.49598175287246704,
0.1851804405450821,
0.17759069800376892,
0.08515454083681107,
0.15612930059432983,
0.22258885204792023,
-1.3631055355072021,
0.2778315842151642,
0.14586141705513,
-0.8933504223823547,
0.4801991879940033,
-0.5675846338272095,
0.7513064742088318,
-0.7212511301040649,
-0.403761625289917,
0.7744620442390442,
-0.2106647491455078,
-0.4698108732700348,
0.33829811215400696,
0.48300787806510925,
0.11798897385597229,
0.7210003137588501,
0.43793004751205444,
-0.1227443516254425,
0.1569666862487793,
0.923761248588562,
-0.2478492558002472,
-0.23773296177387238,
-0.05389152467250824,
0.03929059952497482,
0.4759408235549927,
0.6016146540641785,
0.05305669829249382,
-0.7182006239891052,
0.5826789736747742,
-0.6877297759056091,
-0.3773615062236786,
-0.3775864541530609,
0.9024852514266968,
-0.4145128130912781,
-0.3272387385368347,
-0.04668521508574486,
-0.32456520199775696,
0.26580357551574707,
0.9741212725639343,
0.04466162249445915,
0.16690243780612946,
-0.36085325479507446,
0.23692865669727325,
-0.11104752123355865,
0.6415594816207886,
-1.3774434328079224,
0.2488444447517395,
0.12663711607456207,
-0.14588239789009094,
-0.6379420757293701,
-0.4304087162017822,
0.16054651141166687,
-0.6904879212379456,
-0.8493010997772217,
-0.3800387978553772,
0.29442569613456726,
0.15432383120059967,
0.04475050047039986,
0.04743838682770729,
0.24292317032814026,
0.07631058245897293,
0.8827043175697327,
-0.3056606352329254,
-0.2586931586265564,
0.20298552513122559,
0.11011187732219696,
1.387648582458496,
-0.1757165938615799,
-0.06532818078994751,
0.24670295417308807,
0.5841560363769531,
0.15857909619808197,
-0.32515648007392883,
0.17386162281036377,
-0.5478466749191284,
-0.6579521894454956,
-0.029945986345410347,
0.9014256596565247,
0.17101921141147614,
-0.4952613115310669,
0.17028850317001343,
-0.041952501982450485,
-1.0627107620239258,
0.1612742692232132,
-0.6496918201446533,
0.20417501032352448,
0.1491939276456833,
0.14285723865032196,
-0.06086701899766922,
-0.4035627543926239,
4.283580303192139,
0.6703834533691406,
0.7879869341850281,
0.003227477427572012,
1.4373618364334106,
0.4391609728336334,
-0.23390710353851318,
-0.12956936657428741,
0.09114225953817368,
0.07917077839374542,
0.35571274161338806,
-0.18311426043510437,
-0.14421701431274414,
0.36968305706977844,
0.12676848471164703,
-0.07703454792499542,
-0.8273394107818604,
0.6253134608268738,
0.018114294856786728,
-1.0524342060089111,
-0.3880212903022766,
0.8422622680664062,
0.2857450544834137,
0.5650193691253662,
0.5887782573699951,
0.4248962998390198,
0.6965360045433044,
-1.0917195081710815,
0.2416226863861084,
-0.48204687237739563,
-0.3257828950881958,
-0.5225191712379456,
0.2038978487253189,
-0.18148131668567657,
-0.6349363923072815,
1.1491591930389404,
0.2984279692173004,
0.5830506086349487,
-0.23952794075012207,
-0.9056918621063232,
0.46724796295166016,
0.42418497800827026,
-1.0168418884277344,
0.10941630601882935,
-0.49304988980293274,
-0.0542851984500885,
-0.5312448143959045,
0.911209225654602,
0.34646132588386536,
-0.589320957660675,
-0.052432261407375336,
0.22078976035118103,
0.7524492144584656,
-0.2879520356655121,
-0.5118011236190796,
0.2202713042497635,
-0.17560099065303802,
-0.5684717297554016,
0.24891725182533264,
0.1660505086183548,
0.5408960580825806,
0.7036489844322205,
-0.08776263892650604,
0.21490707993507385,
0.1939375102519989,
0.6624191999435425,
0.26056498289108276,
-0.08933823555707932,
-0.20164620876312256,
0.19509583711624146,
-0.043126482516527176,
-0.062480632215738297,
-0.6198413372039795,
-0.5856319069862366,
0.49967917799949646,
-0.06613823026418686,
-0.9440292119979858,
0.39200761914253235,
-0.3528958559036255,
-0.5992670655250549,
-0.0644272193312645,
-0.09567563980817795,
0.31448793411254883,
-0.05367277190089226,
0.34387391805648804,
0.7410311698913574,
-0.423738956451416,
-0.19110047817230225,
-0.2858707308769226,
0.22508405148983002,
-0.13480307161808014,
0.8091191053390503,
-0.2834859788417816,
0.6850563287734985,
-0.3037106394767761
] |
2207.05555
|
Changjian Fu
|
Changjian Fu, Shengfei Geng, Pin Liu
|
Exchange graphs of cluster algebras have the non-leaving-face property
| null |
Bulletin London Math. Soc. (2023), 55, 2062-2069
|
10.1112/blms.12836
| null |
math.RA math.CO
|
http://creativecommons.org/licenses/by-nc-nd/4.0/
|
The claim in the title is proved.
|
[
{
"version": "v1",
"created": "Sat, 9 Jul 2022 02:14:38 GMT"
}
] | 2024-02-15T00:00:00
|
[
[
"Fu",
"Changjian",
""
],
[
"Geng",
"Shengfei",
""
],
[
"Liu",
"Pin",
""
]
] |
[
-0.22580884397029877,
0.2567819654941559,
0.23341251909732819,
0.37145671248435974,
0.3987490236759186,
0.38988974690437317,
-0.2252008020877838,
-0.33072540163993835,
1.2619935274124146,
0.6438068747520447,
0.2876146733760834,
-0.04953556880354881,
0.5980073809623718,
0.30112987756729126,
-0.18572013080120087,
0.007219043560326099,
-0.7041209936141968,
0.04787630960345268,
-0.375325083732605,
-0.16472847759723663,
0.20863887667655945,
0.15989603102207184,
-0.6999152302742004,
-0.4164462089538574,
0.11016914993524551,
0.1918184906244278,
0.5684780478477478,
0.2754397690296173,
1.2057431936264038,
0.6280229091644287,
0.31341835856437683,
0.3861903250217438,
0.3588494658470154,
-0.38030415773391724,
0.1259709894657135,
-0.4450446665287018,
0.34854790568351746,
-1.1082626581192017,
0.026832077652215958,
-0.29973527789115906,
0.5345452427864075,
0.3455953598022461,
0.5461609959602356,
-0.03663034737110138,
-0.6231865286827087,
-0.3466191589832306,
-0.7619081735610962,
-0.39923131465911865,
0.6343783140182495,
-0.3968628942966461,
0.0032519397791475058,
-0.05681778863072395,
-0.1530667394399643,
-0.43534260988235474,
0.19135649502277374,
0.2200782299041748,
-0.46440497040748596,
-0.430604487657547,
0.07789037376642227,
0.8541064858436584,
0.7315941452980042,
-0.10688932240009308,
0.5458288192749023,
-0.4958917200565338,
-0.13194948434829712,
0.08536982536315918,
0.7164894938468933,
-0.7108737826347351,
0.20851625502109528,
-0.4064544141292572,
0.3059196472167969,
-0.0037192869931459427,
-0.0679953396320343,
-0.14417605102062225,
-0.7977260947227478,
0.06174853816628456,
-0.0553893968462944,
0.19405674934387207,
-0.2288723587989807,
0.4876975119113922,
0.41868725419044495,
0.09644949436187744,
0.5035371780395508,
-0.14942388236522675,
-0.7090194225311279,
0.41433054208755493,
0.1251233071088791,
0.393700510263443,
-0.0305451862514019,
0.119338758289814,
0.15342774987220764,
0.5207080245018005,
-0.26325634121894836,
0.008118635974824429,
-0.06689446419477463,
0.5845043659210205,
-0.11985880136489868,
0.19589237868785858,
0.08609359711408615,
-0.03244370222091675,
0.13978949189186096,
0.3929688334465027,
0.2744998037815094,
1.066798210144043,
-0.526085615158081,
0.595058262348175,
0.32986074686050415,
-0.43825361132621765,
0.4622516334056854,
-0.9509332776069641,
0.3086831271648407,
0.10087694972753525,
0.5589619874954224,
-0.5754505395889282,
0.026936298236250877,
0.751747190952301,
0.2425907999277115,
0.5574765801429749,
-0.11297956109046936,
0.35785743594169617,
-0.000802690745331347,
0.07853188365697861,
0.2122545838356018,
0.3274398148059845,
-0.2904810309410095,
0.4506702125072479,
-0.22125351428985596,
0.5654090642929077,
-1.0135104656219482,
0.15832744538784027,
0.231288880109787,
-0.7195820212364197,
-0.5004500150680542,
0.4118388891220093,
0.13364478945732117,
0.0976136326789856,
0.37900087237358093,
0.4884355068206787,
-0.06333669275045395,
0.04640495777130127,
0.3200784921646118,
0.6109169125556946,
-0.35047468543052673,
0.7263383269309998,
-0.35813918709754944,
0.8007327318191528,
-0.6107742190361023,
0.7197847962379456,
-0.3510189652442932,
0.15440034866333008,
-0.09797384589910507,
-0.03518923372030258,
0.838114857673645,
0.15628013014793396,
-0.27822962403297424,
-0.2791263461112976,
-0.5099297761917114,
-0.1251402497291565,
-0.1892463117837906,
-0.4084698259830475,
-0.1193457618355751,
-0.20225118100643158,
-0.04895491898059845,
0.3430136740207672,
-0.39504384994506836,
0.425275593996048,
-0.08645223826169968,
-0.8371732234954834,
-0.00465233251452446,
0.2646135985851288,
0.39297714829444885,
-0.1709994226694107,
-0.5217268466949463,
-0.5042548775672913,
0.9853951334953308,
1.0969973802566528,
0.182017520070076,
-0.43531909584999084,
0.2436070591211319,
0.4399312436580658,
-0.8340719938278198,
-0.14396198093891144,
0.4186069667339325,
0.695549488067627,
-0.5251947045326233,
-0.1103392019867897,
-0.6631496548652649,
-0.1759353131055832,
-0.13741865754127502,
-0.7032155394554138,
0.07042063772678375,
0.604288637638092,
-0.6003798246383667,
0.9699093699455261,
0.04774186760187149,
0.5218467712402344,
-0.7568796873092651,
0.03603726252913475,
-0.5288717150688171,
-0.7617188096046448,
-0.09527335315942764,
-0.1972285658121109,
0.20967473089694977,
-0.05742000788450241,
-0.5870723128318787,
-0.16366103291511536,
0.9166228175163269,
0.5782792568206787,
-0.5316427946090698,
0.018254073336720467,
0.5759899020195007,
0.5146141648292542,
0.6810316443443298,
-0.6571099162101746,
0.4346819519996643,
0.21369685232639313,
-0.08023311197757721,
0.7388179302215576,
-0.3177228569984436,
0.3058832287788391,
0.3623495101928711,
0.44394516944885254,
-0.09011264145374298,
0.7491415143013,
0.45844584703445435,
-0.2080385535955429,
0.3308834135532379,
0.7182563543319702,
-0.28739622235298157,
-0.02974017895758152,
-0.08793922513723373,
0.38950446248054504,
0.0008603232563473284,
0.355903297662735,
0.16434301435947418,
-0.39733511209487915,
0.4082489311695099,
0.4878726899623871,
-0.12733618915081024,
-0.21002671122550964,
0.18726858496665955,
-0.19871805608272552,
0.6207078099250793,
-0.3154984414577484,
0.28568074107170105,
0.9639337062835693,
0.12117739766836166,
-0.03480258584022522,
-0.26731637120246887,
0.5075563192367554,
0.2765926420688629,
0.523980975151062,
0.524202823638916,
0.21962237358093262,
-0.5829299092292786,
-0.43861180543899536,
0.9267357587814331,
0.14950530230998993,
-0.43297672271728516,
-1.0148203372955322,
-0.4365434944629669,
0.3910926878452301,
-0.41506654024124146,
-0.20883484184741974,
-0.23533177375793457,
-0.384674608707428,
-0.19300977885723114,
0.1350565403699875,
0.04530637711286545,
-0.7704824209213257,
-0.35651543736457825,
-0.48665979504585266,
-0.501127302646637,
-0.04159092530608177,
-0.34921860694885254,
-0.6826310753822327,
0.17303726077079773,
-0.3925699293613434,
0.2487783282995224,
-0.21560098230838776,
-0.4244219958782196,
0.1522955596446991,
-0.14635968208312988,
0.43948817253112793,
-0.09313561022281647,
0.25906890630722046,
-0.40695393085479736,
0.33999010920524597,
-0.4744582176208496,
0.38133716583251953,
-0.09855898469686508,
-0.22886180877685547,
0.016466643661260605,
-0.17632363736629486,
0.528006911277771,
-0.00023548172612208873,
-0.17239686846733093,
0.4283980131149292,
0.3585064709186554,
-0.17043671011924744,
0.0539843924343586,
-0.5248227119445801,
-0.18646258115768433,
-0.3846271336078644,
-0.005562709644436836,
0.2671358585357666,
-0.15134288370609283,
0.10394603759050369,
0.03003198653459549,
0.9048458337783813,
-0.12464860826730728,
0.8090961575508118,
0.3795987367630005,
0.5930251479148865,
-0.38523155450820923,
0.6650239825248718,
0.4196624457836151,
-0.26527872681617737,
-0.00922249723225832,
-0.35342803597450256,
-0.4668121039867401,
-0.05016821250319481,
0.43077632784843445,
-1.0268954038619995,
0.49911242723464966,
-0.19523358345031738,
0.4078676104545593,
-1.3358798027038574,
0.4493754804134369,
-0.3021525740623474,
-0.8110498189926147,
-0.3588978052139282,
0.16293124854564667,
0.5886226892471313,
-0.00434314738959074,
0.13049648702144623,
-0.4533964991569519,
-0.6701724529266357,
0.29470041394233704,
-0.2713395655155182,
0.7993494868278503,
-0.8612927794456482,
0.04596875235438347,
0.42259135842323303,
0.10172177106142044,
0.6598638892173767,
-0.16171860694885254,
-0.1377096325159073,
0.029462171718478203,
0.3048314154148102,
-0.3225483000278473,
0.2826690673828125,
-0.08683085441589355,
0.4162960350513458,
-0.2888703942298889,
0.053397949784994125,
0.35459229350090027,
-0.11383473128080368,
-0.2995455265045166,
0.19627007842063904,
0.20568020641803741,
0.48137059807777405,
0.36375418305397034,
0.3441246747970581,
-0.5677652955055237,
-0.42842403054237366,
-0.9881913661956787,
-0.3161247968673706,
0.4420607388019562,
-1.2446719408035278,
0.22486962378025055,
0.22276590764522552,
-0.28993839025497437,
0.4611537456512451,
-0.3845781683921814,
-0.6176896691322327,
0.6792581677436829,
-0.09952090680599213,
0.21258822083473206,
-0.5746564269065857,
0.17234273254871368,
-0.1520920991897583,
0.10287261009216309,
0.2981628477573395,
0.3771142363548279,
0.1540398895740509,
-0.25072064995765686,
-0.07779233157634735,
-0.46978652477264404,
-0.10619655251502991,
0.032600097358226776,
-0.22656157612800598,
-0.042499613016843796,
0.1246609315276146,
-0.7683178186416626,
-0.7888192534446716,
0.8142431378364563,
0.38905230164527893,
0.5738551616668701,
-0.11930381506681442,
0.00994489248842001,
-0.14281998574733734,
0.26406601071357727,
0.38591188192367554,
-0.8102858066558838,
0.014775724150240421,
-0.34926286339759827,
0.6485454440116882,
0.11425577104091644,
0.2671194076538086,
-0.060248199850320816,
0.36071473360061646,
-0.6639487147331238,
-0.22949814796447754,
0.13896343111991882,
0.19650152325630188,
0.11167145520448685,
0.3417319059371948,
-0.024880999699234962,
0.10211730003356934,
-0.33934155106544495,
-0.4259658455848694,
-0.11800834536552429,
0.6709774732589722,
0.27626538276672363,
-0.6558552384376526,
0.8121486306190491,
-0.27793174982070923,
0.34636664390563965,
-0.2461286187171936,
0.12421910464763641,
-0.48326030373573303,
-0.20670534670352936,
0.019915694370865822,
-1.294636845588684,
0.10309914499521255,
0.17521335184574127,
-0.4810946583747864,
-0.1330442577600479,
-0.45359182357788086,
0.42872995138168335,
0.36435529589653015,
-0.1880422681570053,
-0.07935434579849243,
-0.643523633480072,
0.20947234332561493,
0.28130877017974854,
0.5311471819877625,
-0.3522609770298004,
-0.28339773416519165,
-0.13967208564281464,
-0.9555524587631226,
0.8168522715568542,
-0.3803420066833496,
-0.827033519744873,
-0.10968209058046341,
0.3443049490451813,
-0.4615118205547333,
0.5306925177574158,
-0.4517466723918915,
-0.06585376709699631,
0.203190416097641,
0.605780839920044,
0.009498516097664833,
0.009331694804131985,
0.7615673542022705,
0.3204001784324646,
-0.2142455130815506,
0.2797432243824005,
-0.4078949987888336,
0.44731372594833374,
-0.35074105858802795,
-0.15261374413967133,
-0.12945906817913055,
0.5146153569221497,
0.2582627832889557,
0.23249828815460205,
0.27136746048927307,
-0.4685743451118469,
-0.35763880610466003,
0.5099520683288574,
0.15207301080226898,
-0.28345993161201477,
-0.5736433267593384,
-0.9211459159851074,
-0.4469703733921051,
-0.02823537588119507,
0.025228409096598625,
-0.20882129669189453,
-0.12661157548427582,
0.14140285551548004,
0.5704473257064819,
-0.44057586789131165,
-0.211434006690979,
-0.5374394059181213,
-0.5207631587982178,
-0.7951124310493469,
-0.21269673109054565,
-0.8460073471069336,
-0.5162678956985474,
0.3614552319049835,
0.11184750497341156,
-0.024263620376586914,
0.1682104915380478,
-0.10236736387014389,
0.05098867788910866,
-0.38967207074165344,
-0.6023168563842773,
-0.10751894116401672,
0.7684249877929688,
-0.030629780143499374,
0.12900951504707336,
-0.4389267861843109,
0.6672651171684265,
0.6018319129943848,
-0.1465902477502823,
0.09335718303918839,
0.4041260778903961,
-0.7621371746063232,
0.3800792694091797,
0.137099489569664,
-0.47535577416419983,
-0.2909390330314636,
0.5374731421470642,
-0.26438140869140625,
-0.050282884389162064,
0.187356635928154,
-0.24561208486557007,
-0.11209000647068024,
-0.7710659503936768,
-0.802113950252533,
-0.11485539376735687,
-0.6392701864242554,
-0.5685749053955078,
0.2513525187969208,
0.5187627673149109,
0.727436363697052,
0.4390094578266144,
-0.03404415398836136,
-0.5901833772659302,
-0.665363609790802,
0.4645013213157654,
0.42739906907081604,
0.015769336372613907,
-0.8611805438995361,
-0.04413669556379318,
0.004552776925265789,
0.9132285118103027,
0.4849666357040405,
-0.08566606789827347,
-0.3437400162220001,
-0.3175981640815735,
-0.4300200343132019,
0.7750574350357056,
-0.033481597900390625,
-0.06914453953504562,
-0.11004307121038437,
-0.051014356315135956,
0.49705320596694946,
0.1313415914773941,
-0.06120307743549347,
0.26188644766807556,
0.02657814882695675,
-0.1865297108888626,
-0.5281080007553101,
-0.6293150186538696,
0.11820751428604126,
-0.2847678065299988,
0.2198689728975296,
-0.6970067024230957,
-0.49216821789741516,
-0.6648365259170532,
0.6303331255912781,
0.15882988274097443,
-0.3895411789417267,
-0.9393741488456726,
-0.3884281516075134,
-0.7888023853302002,
-0.5258194804191589,
0.1328229457139969,
-0.1341172307729721,
-0.2381826639175415,
-0.5561375617980957,
-0.4943235516548157,
0.33523327112197876,
0.1273299604654312,
0.6920531988143921,
1.5269112586975098,
0.6215066909790039,
-1.0100151300430298,
-0.4459555149078369,
-0.08266648650169373,
0.7474408745765686,
-0.4983271658420563,
-0.13022463023662567,
-0.5909910798072815,
-0.27281805872917175,
0.49845585227012634,
-0.4364446699619293,
-0.23069129884243011,
0.050162140280008316,
-0.4113016128540039,
0.051972948014736176,
-0.28451380133628845,
0.5134344696998596,
-0.6381329894065857,
-0.4627048075199127,
-0.2934975326061249,
0.04988527670502663,
0.1822706162929535,
-0.13855278491973877,
1.2173923254013062,
0.33898982405662537,
-0.4889411926269531,
0.3819081783294678,
0.30187636613845825,
-0.20572195947170258,
-0.16199925541877747,
0.7817157506942749,
0.40308937430381775,
-0.26126325130462646,
1.1372860670089722,
0.0447433702647686,
-1.0134741067886353,
-0.13870705664157867,
0.021094588562846184,
-0.7880366444587708,
-0.9615683555603027,
-0.31092798709869385,
-0.34130433201789856,
0.3654879629611969,
-0.012305211275815964,
-0.38383355736732483,
0.23293784260749817,
0.38047197461128235,
0.2462427020072937,
-0.6305047869682312,
-0.1514175683259964,
-0.15876001119613647,
0.13304820656776428,
0.09910322725772858,
-0.011795985512435436,
0.16921548545360565,
-0.2863413393497467,
-0.10298949480056763,
0.165488138794899,
-0.2857798635959625,
0.33490240573883057,
0.3476945757865906,
-0.42574700713157654,
-0.0912279486656189,
0.34573501348495483,
0.8084533214569092,
-0.5599756240844727,
-0.5070154666900635,
0.7096108198165894,
-0.3939915895462036,
-0.7970520853996277,
-0.5123302936553955,
-0.15667307376861572,
0.32050758600234985,
0.22839605808258057,
-0.9212642908096313,
-0.27668458223342896,
0.5986923575401306,
-0.8247091770172119,
0.6464966535568237,
-0.48029011487960815,
-0.6664227247238159,
-0.3556557893753052,
-0.24696339666843414,
-1.1273744106292725,
0.11034118384122849,
0.9527631998062134,
0.45928889513015747,
-0.2547782361507416,
0.33156129717826843,
0.20898368954658508,
0.20240911841392517,
0.1384102702140808,
0.26270079612731934,
-0.17919284105300903,
0.4863777160644531,
0.28035542368888855,
-0.5616558194160461,
-0.07472963631153107,
-0.08840255439281464,
-0.5007380843162537,
-0.4362260401248932,
0.15005238354206085,
0.11846718192100525,
0.3985588848590851,
0.9401858448982239,
0.4937249422073364,
-0.592714786529541,
0.32706424593925476,
-0.7869796752929688,
0.07166650891304016,
1.0309885740280151,
-0.8301975727081299,
0.24875234067440033,
-0.037055011838674545,
-0.4318457245826721,
-0.25696003437042236,
0.053625814616680145,
-0.9373995661735535,
0.2529185116291046,
0.12477737665176392,
0.31410476565361023,
-0.10630969703197479,
0.23240287601947784,
-1.044388771057129,
-0.5597172379493713,
0.0011984063312411308,
-0.3645715117454529,
0.25761735439300537,
-0.29460737109184265,
-0.03714999929070473,
-0.1511048525571823,
-0.5159051418304443,
0.5513076782226562,
-0.17011837661266327,
0.11304464936256409,
-0.6880543828010559,
0.3917505443096161,
0.4649324119091034,
0.30584967136383057,
0.26116371154785156,
-0.2555796504020691,
0.8375697731971741,
-0.3532945215702057,
-0.023493070155382156,
0.20604629814624786,
0.33875879645347595,
0.06157499924302101,
-0.4255550801753998,
0.26128116250038147,
-0.10240375250577927,
0.21394570171833038,
0.6725895404815674,
0.03940105065703392,
0.6297959089279175,
0.8020392656326294,
0.2677149772644043,
-0.27957382798194885,
-0.44109824299812317,
-0.4339025616645813,
-1.0655611753463745,
0.22382484376430511,
0.44618654251098633,
0.03398244082927704,
-0.4549100697040558,
0.8095464706420898,
-0.7271020412445068,
0.4695628583431244,
0.43022334575653076,
-0.2520206868648529,
-0.4186619222164154,
0.559223473072052,
0.14768485724925995,
0.23494598269462585,
-0.5958691239356995,
-0.6723182797431946,
-0.14692386984825134,
0.6176106333732605,
-0.4601796865463257,
-0.8281238079071045,
0.11404918879270554,
0.2625409662723541,
-0.026153691112995148,
-0.09456562995910645,
-0.629954993724823,
0.09899041056632996,
-0.06343560665845871,
0.02477632462978363,
-0.22318299114704132,
0.522779107093811,
-0.09903566539287567,
0.3992566466331482,
-0.39290890097618103,
0.41556569933891296,
-0.00018076789274346083,
-0.002536971354857087,
0.3535098135471344,
-0.7709972262382507,
-0.41263484954833984,
0.4167296290397644,
0.09650133550167084,
-0.08366624265909195,
0.5725634694099426,
-0.11250273138284683,
0.16221114993095398,
0.06538547575473785,
-0.5412301421165466,
-0.30899789929389954,
0.8381948471069336,
0.27040424942970276,
-0.23408792912960052,
-0.9200888276100159,
-0.5304704904556274,
0.42163825035095215,
-0.1888996809720993,
0.17147158086299896,
-0.12515708804130554,
-0.3226872980594635,
0.22685040533542633,
0.2499459832906723,
-0.6337677836418152,
0.024655215442180634,
-0.30864575505256653,
-0.4423806369304657,
-0.2921690344810486,
-0.630006730556488,
-0.4120272099971771,
-0.9034979343414307,
0.1889447122812271,
0.572685718536377,
-0.5877587199211121,
0.3226225972175598,
-0.7727670073509216,
-0.04696204513311386,
0.6330215930938721,
0.5921846628189087,
-0.11692497879266739,
-0.003537665354087949,
0.6706331372261047,
0.20559759438037872,
-0.13240355253219604,
-0.05654913932085037,
-0.10791480541229248,
0.2786123752593994,
-0.7585548758506775,
-0.26285862922668457,
0.6075206398963928,
0.9687319397926331,
0.33034366369247437,
-0.927108645439148,
-0.7375490069389343,
0.22813716530799866,
0.15403255820274353,
-0.4688720107078552,
0.19923806190490723,
-0.3102225959300995,
-0.1100984737277031,
-0.781605064868927,
0.6367335915565491,
-0.6213566660881042,
0.01336483471095562,
0.47800689935684204,
-0.6009772419929504,
-0.24371621012687683,
0.43966618180274963,
0.4964125454425812,
0.9035148024559021,
0.01335170678794384,
0.1389017254114151,
0.1374531090259552,
0.2682107985019684,
0.8306101560592651,
-0.5914515852928162,
0.23444300889968872,
-0.24259887635707855,
-0.36543306708335876,
0.5025078654289246,
0.16836951673030853,
-0.8046755194664001,
0.49607351422309875,
0.4374152719974518,
-0.20643658936023712,
-0.21670055389404297,
0.07337019592523575,
0.049131426960229874,
-0.7193814516067505,
-0.08042464405298233,
-0.0639873519539833,
0.027373211458325386,
0.1799139827489853,
0.29855403304100037,
0.6538161635398865,
0.44886988401412964,
-0.2953907251358032,
-0.40804338455200195,
-0.3234194815158844,
0.4064375162124634,
-0.8422091603279114,
1.0623526573181152,
0.5333629846572876,
-0.31322798132896423,
-0.22815032303333282,
-1.1589628458023071,
0.03644632548093796,
-0.4392874240875244,
-0.06818193197250366,
-0.6437051892280579,
0.62408047914505,
0.2040051966905594,
0.5495929718017578,
0.14736604690551758,
-0.7710895538330078,
-0.12104082852602005,
0.04007226601243019,
0.4930780529975891,
-0.5040261149406433,
0.4573177695274353,
0.2864847183227539,
0.4348892271518707,
0.3778032660484314,
-0.3325195014476776,
0.4588014781475067,
0.29838430881500244,
-0.35160353779792786,
-0.6033431887626648,
-0.06433965265750885,
-0.7951062321662903,
-0.7984554767608643,
0.8299599289894104,
0.9300811290740967,
-0.06945516914129257,
0.17773191630840302,
-0.6002448797225952,
0.24958473443984985,
-0.18318621814250946,
-0.4408002197742462,
-0.37707287073135376,
-0.07888716459274292,
-0.16678132116794586,
0.057671234011650085,
0.12393011152744293,
-1.2535382509231567,
4.589080333709717,
-0.2377714067697525,
-0.16243574023246765,
-0.8703553676605225,
0.3610018789768219,
0.6546844840049744,
0.9750047922134399,
-0.6887158751487732,
0.02138589322566986,
0.32865723967552185,
0.01363928522914648,
0.4130294620990753,
-0.03939748927950859,
0.27941790223121643,
0.6210042834281921,
-0.14148342609405518,
-0.37040185928344727,
0.10540896654129028,
0.03432397544384003,
-0.5905747413635254,
-0.8328989148139954,
-0.31800323724746704,
0.20818637311458588,
0.4920189380645752,
-0.22028163075447083,
0.7026397585868835,
-0.032673876732587814,
-1.2103785276412964,
-0.33426448702812195,
-0.4779190719127655,
-0.32029229402542114,
-0.39213329553604126,
0.6914763450622559,
-1.1533896923065186,
-0.683936595916748,
0.4432489275932312,
0.26606008410453796,
-0.6171915531158447,
0.4567767083644867,
0.28275108337402344,
0.23826642334461212,
0.43918874859809875,
0.570830225944519,
-0.8464374542236328,
0.0331125371158123,
0.6143503785133362,
-0.7231669425964355,
0.6578911542892456,
0.20421646535396576,
-0.25518596172332764,
0.518636167049408,
0.5040002465248108,
0.5283561944961548,
-0.8065158724784851,
-0.6095397472381592,
0.21997056901454926,
0.5212048292160034,
-0.25385621190071106,
0.0056200516410171986,
-0.034933559596538544,
0.2939586341381073,
0.5005013346672058,
0.28602316975593567,
0.26498427987098694,
-0.34492185711860657,
0.6974668502807617,
-0.4420262575149536,
0.29826223850250244,
0.36367785930633545,
-0.0958365648984909,
0.10562361776828766,
-0.24916942417621613,
-0.4626259505748749,
-0.19407817721366882,
0.2765962481498718,
-0.21533502638339996,
-0.5824670195579529,
0.22660177946090698,
0.20029957592487335,
0.5106225609779358,
-0.7172273397445679,
-0.8378090858459473,
0.05829107016324997,
0.19246068596839905,
0.2370333969593048,
0.8895813822746277,
0.11614838242530823,
-0.491825133562088,
-0.47745928168296814,
0.50278240442276,
0.48088276386260986,
0.07587742060422897,
-0.07893688231706619,
0.1644323319196701,
0.08996883034706116
] |
1707.05340
|
Meng Wang
|
Meng Wang, Jiaheng Zhang, Jun Liu, Wei Hu, Sen Wang, Xue Li, Wenqiang
Liu
| "PDD Graph: Bridging Electronic Medical Records and Biomedical Knowledge\n Graphs via Entity Linkin(...TRUNCATED)
|
9 pages,5 figures,accepted by ISWC 2017
| null | null | null |
cs.DB cs.AI cs.IR
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
| " Electronic medical records contain multi-format electronic medical data that\nconsist of an abund(...TRUNCATED)
| [{"version":"v1","created":"Mon, 17 Jul 2017 18:04:27 GMT"},{"version":"v2","created":"Mon, 24 Jul 2(...TRUNCATED)
| 2017-07-25T00:00:00
| [["Wang","Meng",""],["Zhang","Jiaheng",""],["Liu","Jun",""],["Hu","Wei",""],["Wang","Sen",""],["Li",(...TRUNCATED)
| [0.13316108286380768,-0.012788924388587475,-0.3342873156070709,0.6081944108009338,0.1068903952836990(...TRUNCATED)
|
End of preview. Expand
in Data Studio
No dataset card yet
- Downloads last month
- 15