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0705.2820.txt \|@word roi:1 consider:1 ith:2 restriction:2 both:1 obtain:1 trade:6 proposes:1 entropy:9 satisfies:1 note:2 slow:1 based:2 dividing:1 omit:1 chosen:1 tr:1 state:12 thermodynamics:5 only:2 tj:6 choose:1 ti:18 analogous:1 fin:1 transformation:2 equilibrium:3 yh:1 them:1 return:1 finance:1 means:2 express:1 introduce:1 increases:1 using:1 dt:2 now:1 gen:1 condition:2 occurring:1 term:1 held:2 always:2 arxiv:1 occurs:1 yields:2 qi:8 dpi:4 differential:2 sequence:1 energy:1 second:3 trading:9 w1:1 w0:1 investment:3 undergraduate:1 sum:2 since:1 written:1 does:1 wn:1 get:2 sold:1 bought:1 respectively:1 hirai:1 jp:1 wi:12 along:1 between:1 change:9 pw:1 definition:1 integrating:1 taking:3 trades:6 equal:5 o:2 keep:1 ln:8 amount:6 due:2 traded:1 otherwise:1 named:1 point:2 arbitary:1 variables:3 integral:2 system:1 weighted:1 another:1 summation:2 apply:1 total:4 univ:1 given:1 transformations:5 positive:1 negative:1 strategy:14 asset:7 taken:1 pi:13 more:3 selling:1 general:1 enough:2 becomes:1 continuous:1 analyse:3 hj:1 hi:10 because:1 prices:2 cases:1 hold:1 irreversible:3 than:2 buying:1 especially:1 case:4 dti:1 target:1 tokyo:1 science:1 equation:9 rate:5 value:6 infinitesimal:1 ui:6 distribution:1 define:3 changed:1 constant:2 dp:1 qij:6 ai:6 december:1 abstract:1 aj:4 according:1 states:3 proves:1 occur:1 information:1 different:3 dhi:3 author:2 amounts:1 make:1 holds:4 when:4 same:1 any:2 oriented:5 delay:1 internal:1 take:4 department:1 so:4 qji:3 product:1 multiple:1 see:1 may:2 price:6 yoichi:1 a0:1 tries:1 involving:1 frequently:1 law:4 types:1 assets:3 assume:3 average:1 simplicity:1 analysis:1 stating:1 si:3 reversible:5 weights:3 exp:1 time:4 first:1 whereas:1

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0705.2822.txt \|@word secondly:1 desirable:1 four:1 asian:1 consists:4 whose:6 calculate:1 ℜp:1 auf:1 paris:2 segments:1 ℜf:1 γi:17 under:10 hermann:2 spec:4 alternating:1 conjecture:10 p0:3 every:3 induction:10 solution:17 vector:5 indices:8 sturm:1 direct:1 approximation:2 elegant:1 second:11 invariant:1 even:5 established:1 euclidean:1 sheeted:1 above:28 new:13 consisting:3 coefficient:4 notions:1 never:2 equals:6 here:1 κp:1 logarithmic:18 obtained:6 study:5 akk:3 fourier:1 l1loc:7 projection:3 classification:2 highly:1 total:2 univ:2 unit:1 derivatives:10 would:2 e1:2 negative:2 noting:1 call:2 therefore:8 type:13 λmi:2 tk:1 abusing:1 berlin:3 excellent:1 hold:5 must:2 springer:3 rα:1 quartic:1 rγ:6 mi:11 worth:1 erd:2 ere:1 mp:1 root:19 example:13 mz:1 indicated:1 give:3 malgrange:2 generically:3 degenerate:1 absolute:1 end:2 hoc:1 verify:1 far:3 nontrivial:1 answer:1 ψij:2 oscillatory:1 description:5 after:1 descent:1 third:3 decreasing:1 order:15 interpretation:1 over:12 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0705.2823.txt \|@word gw:4 gb:2 ga:22 d2:1 wº:1 λm:31 d1:7 q1:4 q2:4 tn:5 tq:22 γk:1 dn:6 dl:1 dm:3 σn2:1 dh:5 di:2 01h:3 01n:2 ϕm:14 ϕk:3 eº:1 ϕd:4 ds:1 mod:1 qs:1 gbn:48 e1s:1 arxiv:1 t2:1 nα:1 rj:2 e1n:7 qi:3 qh:21 2n:3 qm:2 ql:1 2j:4 em:11 zm:2 øi:1 zh:4 ek:3 rrr:5 ejn:1 xαk:1 rq:7 rr:2 q¹:1 diag:1 µm:2 may:1 irn:1 αi:1 αk:1 i¹ø:1 math:1 αn:6 terms:2 sº:1 bn:22 bh:2 wj:4 wi:6 wh:1 2m:4 e1:13 e2:4 σi:7 tº:1 σn:8 t¹:1 tµ:1 2i:18 glq:1 ch:2 cn:20 dimensional:1 brn:16 en:2 wγ:14 ei:2 cw:1 xw:4 ps:3 nø:2 pj:1 kº:2 ph:9 pi:7 pn:3 pl:1 1n:2 hj:2 gan:25 1h:2 hc:1 x0:2 c0:1 p2:3 p1:10 1m:1 ǫj:2 ǫi:14 ǫn:12 n¹:1 nº:10 mq:18 nµ:1 pij:1 qin:2 qii:1 a1s:1 vh:1 ir:2 vm:2 ii:3 ij:2 dj:2 pir:6 tα:1 s2:2 s1:2 k6:1 e2n:3 mº:1 i1:6 i2:6 whi:3 cº:1 sss:2 pi1:3 pi2:3 ssss:2 rn:1 kn:2 st:1 si:2 kw:3 sn:4 d1n:1

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0705.2829.txt \|@word homomorphism:2 magnetic:2 trisecant:4 four:3 obstruction:1 whose:2 const:1 γs:7 quadruple:1 under:17 geom:1 conjecture:2 rise:1 affect:3 dubrovin:1 exponential:1 suffices:1 solution:15 admissible:4 vector:10 indices:1 degeneracy:1 consistent:1 direct:5 second:6 even:6 hνn:4 supplied:1 above:18 new:9 eliennes:1 coefficient:6 simultaneously:1 γz:3 equals:1 here:9 obtained:8 study:3 suitable:1 bλj:1 appropriately:1 santini:1 linearly:4 tn:8 would:14 remainder:2 cτn:10 bundles:3 negative:3 m1:2 therefore:16 m2:1 type:2 until:2 kinokuniya:1 odinger:12 berlin:2 correspondingly:1 hold:5 must:16 mg:1 ma:1 characterize:2 pursue:1 setup:2 work:2 theories:1 mv:15 nlin:1 example:1 give:5 involve:1 ebriques:1 mα2:1 degenerate:1 end:2 verify:2 enj:1 far:1 ordinary:6 description:2 replacing:2 after:2 constants:14 attempt:1 effective:2 βi:1 ultimate:1 order:21 over:4 satisfied:19 london:2 satisfies:12 vari:2 before:5 directional:1 fix:6 exhibits:1 writing:2 fij:6 easier:1 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0705.2830.txt \|@word gw:16 q2:1 gs:7 x1:6 ss2:1 d2:2 gdn:1 d1:4 c0:5 2λh:3 lh:6 li:1 e0n:2 e0i:3 oµ:6 yi:1 yk:1 yj:1 g1:5 01h:2 ϕm:1 eµ:6 ϕd:3 mod:6 2s:16 gbn:1 arxiv:1 rº:1 o1:3 d3h:1 e1n:4 wbn:1 2m:3 2n:2 qm:1 2i:22 2j:4 zn:2 en:12 ei:1 zi:1 zj:1 zk:1 b6:1 wc:1 es:2 rq:7 l12:2 mη:2 d0:1 rn:5 o2:1 math:1 o0:5 2µh:22 terms:2 wa:3 bn:69 λz1:1 ws:1 e1:18 ker:1 z2:1 e2:14 tº:1 2h:54 tµ:1 o:2 l1n:8 0a:1 xj:3 xk:3 xi:3 xn:8 cn:7 f1:1 h1:6 ψw:1 wγ:8 ηq:5 tq:15 eh:8 u0:2 z1:1 1a:1 d4h:1 oλ:9 e0:1 hr:2 hk:6 hn:1 eλ:8 x2:4 c2:2 c1:2 aº:1 eγ:5 mi:1 n¹:2 nº:2 ij:7 mq:10 ms:8 2πix:1 f0:1 dn:22 hµ:1 ar:7 a1i:2 a1k:1 g1n:37 01c:8 dh:23 g1h:5 s2:1 s1:1 d2h:1 e2n:2 e2h:4 may:1 max:2 fi:5 fk:3 fn:5 ss:1 st:1 sh:6 sn:6 exp:3 n2:1 g12:2

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0705.2845.txt \|@word consider:1 magnetic:10 results:3 ciudad:1 computation:1 hole:2 layers:1 griffin:1 finally:1 behave:1 tk:1 ti:1 tc:2 case:1 zhang:1 very:1 frequencies:1 electron:4 manin:1 hamiltonian:1 herbert:1 large:4 solved:1 zh:1 monotonous:1 zero:5 enhancement:1 rivera:1 richard:1 section:4 expressed:1 eastham:1 above:1 new:1 occupation:1 method:3 edited:1 eksp:1 atoms:1 deposition:1 mev:9 µex:9 mes:1 active:1 along:1 strong:1 equations:2 change:2 benson:1 obtained:1 search:1 study:6 trial:2 periodic:1 makes:2 kinsler:1 york:1 composed:2 semiconductors:1 marchetti:1 decrease:1 total:4 gaas:2 use:1 whittaker:1 contains:1 quasi:5 next:3 m0:3 taken:2 conservation:1 means:2 iteratively:1 resonator:2 theoretical:4 more:1 separated:1 becomes:1 apparent:1 emission:1 cases:1 iii:1 me:2 high:2 science:1 equation:1 work:2 mh:1 vs:1 values:3 temperatures:6 following:1 spontaneous:1 example:1 control:3 polaritons:17 mirrors:1 rodriguez:1 states:3 indicates:1 numbers:1 interpreted:1 provide:1 get:1 chemical:2 parameter:2 circular:1 plant:1 mat:1 may:1 minimized:1 applications:1 plane:1 coming:1 natural:1 effective:5 light:1 explicit:2 si:1 gerard:2 microsystems:1 keeling:1 typical:1 fetter:1 indeed:1 zeh:2 vary:1 years:1 thermal:1 paper:1 excitations:1 le:2 decay:1 energies:4 interesting:2 lateral:1 baas:1 decreases:1 fig:11 non:1 landau:3 scaling:7 band:1 effects:1 yu:1 hall:1 february:1 university:1 level:2 concave:1 2d:1 mode:2 kph:1 found:1 2i:4 mean:8 homogeneous:2 en:6 ei:1 energy:12 sov:1 expect:1 sketched:1 quantum:12 our:4 ev:1 gonzalez:1 matrix:1 furthermore:1 rev:7 research:1 particles:4 re:2 bragg:1 nominal:1 theory:3 barrier:1 interactions:3 fisica:2 free:2 standard:1 completely:1 term:2 netic:1 pairs:2 interaction:2 reinforces:1 could:2 transition:1 universidad:1 teor:1 condensate:1 first:1 origin:1 occupations:1 number:20 hey:1 armitage:1 colombia:1 electronic:1 angular:1 given:3 temperature:11 introduction:1 eqs:1 mcgrawhill:1 system:6 their:1 assumption:1 savona:1 calculations:3 variational:1 gives:1 ictp:1 micropillar:4 artifact:1 5µm:1 optical:1 authors:1 than:2 epair:1 showed:1 bec:1 submitted:1 roberts:1 matter:1 solomon:3 littlewood:2 dang:1 lowest:2 defect:1 elsevier:1 curve:1 legrand:1 relatively:1 strength:1 latter:1 potential:5 gσ:1 take:2 schematically:1 mit:1 stringari:1 ripka:1 keldysh:1 pair:3 measured:1 lerner:1 observation:1 calculated:1 order:1 electrons:2 h2e:2 deng:1 fact:1 slope:2 show:3 tkn:1 ωce:1 minimizing:1 ground:4 szymanska:1 parameters:2 explain:1 state:5 should:1 parabolic:1 constant:2 achieve:1 equilibrium:1 boris:1 santori:2 dominant:1 dh:1 cuba:1 de:4 walecka:1 words:1 conjunction:1 polariton:2 areas:1 fields:2 arxiv:1 fixed:2 set:1 kasprzak:1 operates:1 see:1 radius:1 lnd:1 interacting:1 nature:1 mieg:1 written:1 µn:1 between:1 drawn:1 notice:1 deveaud:1 terms:2 keh:1 weak:1 ji:1 key:1 multiplier:1 bose:2 jetp:1 last:2 many:3 vk2:1 acknowledge:1 fiz:1 hω:2 microcavity:5 contribution:3 expression:1 masses:1 mechanics:1 blaizot:1 point:1 thierry:1 harmonic:1 dicke:1 pelton:3 represented:1 pol:1 lagrange:1 respect:3 ct:1 skolnick:1 basis:2 due:1 been:2 zph:2 detuning:2 describes:1 expected:1 systems:2 dots:1 direction:4 m1h:2 photon:5 instituto:2 gap:5 coherent:2 confinement:2 presented:1 present:2 applied:1 augusto:1 pacs:1 gayral:1 ǫi:8 conserved:1 value:2 procedure:3 coupled:1 almost:1 vj:1 thus:3 vn:5 ii:1 middle:1 ij:1 cond:1 grown:1 different:1 make:1 same:2 1mev:2 selfconsistent:4 noninteracting:1 finite:8 used:7 singapore:1 numerical:2 effect:2 hand:1 koch:1 heterostructure:1 lower:1 weakly:1 center:1 model:3 less:1 yoshihisa:1 obtain:4 world:1 yamamoto:4 preprint:1 density:1 photons:10 parametrization:1 other:2 lett:6 extensive:1 momentum:1 generalized:1 habana:1 possible:1 increases:1 press:3 haug:1 like:1 particle:4 follows:3 pillar:3 indication:1 reduced:1 because:1 phenomena:1 understood:1 growth:3 happens:2 caribbean:1 cavity:4 electromagnetic:1 critical:6 augmenting:1 scientific:1 properties:1 about:1 extension:1 lozovik:1 discussed:1 dependence:3 o:1 excitons:2 consequently:1 cambridge:2 negative:1 references:1 einstein:1 england:1 binding:1 support:1 approximate:1 much:1 bosons:2 low:3 way:1 function:8 medium:1 form:1 hr:1 hs:1 hv:2 hu:1 hk:1 hn:3 matematica:1 ploog:1 hc:1 coupling:2 made:1 placed:1 below:1 un:3 ωa:1 problem:2 andr:1 purcell:1 aa:1 required:1 associated:1 defined:1 ah:1 abstract:1 describe:2 eu:2 single:3 lifetime:1 regime:1 again:1 functions:2 thermodynamical:1 exciton:3 when:1 envisaged:1 field:11 interested:1 confine:1 conclusion:1 picture:1 includes:1 fisher:1 vuckovic:1 network:1 algaas:1 condensation:5 implies:1 longer:1 coulomb:2 assume:2 npol:9 holes:2 calle:1 mass:3 dot:6 time:1 appl:1 starting:1 bcs:2

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0705.2867.txt \|@word partial:2 consider:2 results:1 eds:2 sfin:2 edu:1 consists:1 gn:6 research:2 compact:3 shrinkable:5 umich:1 semenov:1 conjecture:5 corollary:4 cofinite:2 every:2 blass:1 michael:2 kechris:1 recall:1 neighborhood:1 semicontinuous:1 miller:3 consistent:1 direct:2 second:3 even:1 appear:2 sum:1 hereditary:1 consistently:2 sequential:1 establishes:1 increasing:1 consisting:1 satisfy:1 justification:1 notions:1 respectively:2 refinement:2 ramsey:1 address:3 strong:1 ukraine:1 hbk:1 institute:3 studied:1 contradiction:1 provable:1 family:9 scales:2 texts:1 use:3 lemma:12 continuous:28 give:1 therefore:2 israel:3 rehovot:2 berlin:1 cardinality:1 valued:19 menger:2 following:19 example:1 stimulating:1 proof:11 figure:1 stated:1 fundamenta:3 numbers:1 conversely:1 verify:1 s1:10 holds:1 slovenian:1 write:2 maps:1 cardinal:1 instead:1 map:30 fr:39 singular:1 may:1 applications:7 faculty:1 jiang:2 third:1 taras:1 si:1 definitions:1 discussion:1 restriction:2 lsc:19 lsa:1 indeed:4 satisfies:6 its:7 derive:1 thank:1 fix:3 mail:3 main:2 into:2 correspondence:1 eventually:1 motivated:1 descriptive:1 conversations:1 franko:1 motivates:1 clopen:16 φk:3 university:3 fσ:2 each:30 found:1 european:1 subset:10 fremlin:1 principles:1 used:1 society:2 extended:1 our:2 witness:1 out:1 conjectures:1 ru:1 space:31 since:3 induces:1 denotes:1 combinatorial:1 conjectured:1 denoted:1 induced:1 suffices:4 math:4 shows:1 reformulation:1 theory:3 standard:3 base:2 members:2 homeomorphic:2 guest:1 definition:1 language:1 selections:10 phrases:1 could:1 omit:1 filter:2 american:1 hence:3 first:5 separable:4 frech:2 primary:1 tychonoff:1 dominating:1 open:19 size:1 exists:6 similarly:1 introduction:2 πk:1 construct:1 their:1 assumption:1 perfectly:5 gives:1 exactly:1 authors:1 kanamori:1 than:2 center:1 finitely:6 connections:1 holland:1 characterizations:1 repovs:6 imply:1 were:2 san:1 multivalued:16 any:2 mappings:2 general:1 agency:1 note:6 cantor:1 reals:2 foreman:1 gδ:1 normal:5 sets:9 said:1 acknowledgements:1 prove:2 galvin:1 considered:2 cover:21 countable:13 proceedings:1 zfc:2 physics:1 scheepers:10 fact:2 selection:19 show:2 semicontinuity:1 supported:2 spaces:10 find:1 assertion:3 topological:6 bfr:8 only:9 local:1 continuity:1 subspaces:1 means:1 uncountable:1 lviv:2 words:1 secondary:1 continuum:2 covering:3 fields:1 arxiv:1 nondecreasing:1 implication:3 grad:1 qn:4 set:19 reference:1 national:1 relative:1 see:2 result:6 theoretic:1 subject:1 satisfying:1 subsequent:1 enumerated:3 closed:3 between:1 publishers:2 extend:1 wn:3 tsaban:10 hypothesis:1 key:2 topology:9 concentrated:1 ua:1 connection:1 pdf:1 banakh:1 cn:2 characterization:1 cf:1 boaz:6 grants:1 sakai:6 bα:4 bβ:1 respect:2 cp:2 considering:1 pp:1 springerverlag:1 yan:2 basic:1 prototype:1 zdomskyy:6 define:3 corresponding:1 subspace:2 gan:1 understand:1 weizmann:2 denote:1 assigning:1 present:1 case:1 p1:1 subsets:10 easier:1 will:1 many:7 property:7 larger:1 characteristics:1 thus:5 vn:15 ii:2 il:1 magidor:1 author:1 journal:2 finite:3 repovˇs:1 literature:1 http:1 hand:1 infinite:3 lower:4 undefined:1 well:2 dusan:6 academic:2 consistency:1 quantitative:2 diagonalizations:1 being:1 immediately:1 alternative:1 rambler:1 biu:1 classification:1 kluwer:2 infinitely:1 point:4 seems:1 belongs:2 collections:1 easy:1 theorem:21 ljubljana:2 real:3 rothberger:2 using:2 intersection:1 apart:1 semi:2 identifying:1 follows:1 qualitative:1 ivan:1 works:1 page:1 terminology:1 therein:1 www:1 methods:1 classical:2 sequence:4 some:5 scale:6 extensively:1 does:4 assuming:2 minimal:1 power:1 equivalent:5 ramat:1 bi:1 cγ:5 properties:7 science:2 asserting:1 extension:1 theorems:2 o:5 stand:1 introduced:1 consequently:1 mathematical:2 contains:1 statements:1 unbounded:3 image:1 references:2 bijective:1 amsterdam:1 vaughan:1 metrizable:3 combinatorics:2 assumed:2 there:16 borel:1 handbook:2 was:3 function:3 north:1 form:2 converse:4 but:7 volume:1 convergence:1 line:1 characteristic:1 us:1 bijectively:3 dordrecht:2 un:26 limit:1 verification:1 uk:3 problem:3 similar:1 mechanics:2 ac:1 proved:2 defined:4 certain:1 abstract:1 covers:3 convergent:1 exist:1 families:1 education:1 dα:4 functions:1 compared:1 nn:7 no:3 mathematica:3 kunen:1 other:2 special:1 department:4 mathematics:7 elements:4 hurewicz:3 lemmata:1 independently:1 bco:1 implies:3 assume:10

0705.2868.txt \|@word consider:2 similarity:2 gupta:1 demand:1 results:3 illustrated:1 ge:1 c2:3 consists:1 denotes:1 2r2:1 ıs:1 concerned:1 charge:1 present:3 th:1 under:1 worth:1 ta:1 case:7 straightforward:2 far:1 rise:1 choice:3 suggesting:1 every:1 anonymous:1 condition:1 groups:1 leads:1 hamiltonian:15 irreducible:4 pacs:1 heiss:2 transposing:1 optics:1 equation:3 2k0:5 dealing:1 consistent:1 direct:1 cosh:16 second:3 further:1 linear:4 even:1 what:2 nonlinear:1 invertible:1 morse:1 expressed:2 elucidate:1 new:4 acknowledgments:1 satisfy:1 respectively:1 szymanowski:2 realizations:2 here:9 ulb:1 ansatz:1 sinh:28 active:1 equations:1 z2:1 obtained:1 roychoudhury:1 exemplified:1 technical:1 studied:1 xiα:1 resulting:1 action:1 useful:1 family:6 apply:1 use:1 would:4 prove:2 positive:3 quasi:4 properties:4 nucl:1 noting:1 therefore:4 bender:4 endowed:1 scope:1 type:4 tell:1 more:2 ambiguity:1 becomes:2 operators:13 emission:1 validity:1 particular:1 foundations:1 potential:1 must:1 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0705.2869.txt \|@word secondly:1 m2w:1 rev:4 luminosities:2 results:2 mrenna:2 scalar:3 couchman:1 inverse:1 tt:8 finally:2 efficiencies:1 contours:1 under:1 atlas:8 include:1 tc:2 updated:1 etmiss:3 difference:1 matrices:1 presented:6 solution:1 correct:1 vector:14 manchester:1 cms:7 lightest:2 zb:2 sign:1 zero:1 zz:1 further:2 tev:7 appear:2 section:3 selected:1 version:1 above:2 new:3 method:1 full:3 component:1 here:3 based:1 strong:4 obtained:1 search:4 cern:1 study:4 resulting:2 resonance:6 studies:3 although:2 straw:4 requiring:1 explained:1 highly:1 scaled:1 neutrino:1 sarah:1 plot:1 commun:1 remains:1 scenarios:5 renormalisation:1 qcd:3 achieving:1 more:3 validity:1 cases:1 producing:1 behalf:1 must:1 high:4 account:1 quartic:1 ml:1 equation:1 work:1 modified:1 mt:1 mw:1 minimum:1 ρt:10 making:1 spontaneous:1 atl:2 mz:1 2ln:1 figure:7 process:1 unitarisation:4 reconstructed:9 tag:3 performed:2 validated:1 quark:1 decaying:2 rather:1 breaking:8 lepton:5 opposite:1 significance:1 geant:1 lonnblad:1 may:1 after:7 containing:1 fb:15 data:1 man:4 lhc:3 effective:3 higgs:2 spectra:1 element:1 so:2 sl:1 taking:1 lν:1 g12:1 constituents:1 over:1 vary:1 including:1 statistical:1 cuts:9 its:1 before:1 longitudinal:3 probability:1 decay:1 energies:2 cleanest:1 masses:1 boson:11 window:1 production:1 ls:2 main:1 framework:4 colourless:1 reconstruction:2 university:3 backgrounds:6 identified:3 technifermion:1 mode:4 each:2 accompanied:1 constraints:1 goldstone:4 hadronic:1 energy:6 nt2:1 reduce:1 gaussian:1 used:3 ex:1 combining:1 event:2 shown:4 space:4 since:2 lagrangian:6 re:1 mediated:1 integrated:5 interactions:5 quite:1 formation:1 generate:2 additional:2 interaction:1 chiral:4 could:1 introduction:1 due:1 hence:2 top:1 first:1 initial:1 symmetry:9 given:2 herrero:1 jet:5 unitarity:2 condensate:1 system:2 needed:1 πt:2 kreuzer:1 final:1 completed:1 rejected:3 electroweak:12 simulate:2 crosssection:1 than:3 coefficients:1 third:1 collaborations:1 double:2 states:1 amplitude:1 treated:1 function:2 comput:1 commissioning:1 null:1 seek:1 any:2 forthcoming:1 built:1 studying:1 responsible:1 contour:1 note:2 majority:1 detector:5 channel:1 centre:1 waugh:1 singlet:1 most:1 significant:2 transverse:1 branching:1 appelquist:1 butterworth:2 considered:1 pseudorapidity:1 points:2 electrons:1 kt:2 left:1 physics:2 assisted:1 sector:1 emerging:1 particularly:1 summer:1 probe:1 forshaw:1 gauge:1 ratio:2 parameters:1 implementation:1 λt:1 should:1 bernard:1 only:2 candidates:4 hadronically:1 technipions:2 various:1 sensitivities:1 ruiz:1 gev:12 dependent:1 custodial:1 8qq:1 combinations:1 pelaez:1 continuum:3 luminosity:3 arxiv:2 yield:1 predicted:1 isolation:2 london:1 atlfast:2 set:1 computed:2 achieved:1 sensitivity:4 observed:2 college:1 result:3 close:3 dµ:3 momenta:1 walking:1 distinctive:1 identification:1 morales:1 between:2 crude:1 invariant:1 approach:1 glasgow:2 discovery:3 terms:1 extend:1 missing:1 emitted:1 ww:3 p2t:1 hypothesis:2 probing:1 group:1 wz:1 improve:1 observable:1 acquiring:1 technicolour:8 many:1 region:2 against:1 chosen:7 connection:1 com:1 technirho:3 azuelos:1 point:1 jets:11 exploit:1 respect:1 considers:1 complication:1 dobado:1 pt:13 three:2 been:1 describes:1 slowly:1 interest:1 expected:3 muons:1 ph:2 llll:1 systematic:2 present:2 case:1 exponential:1 developing:1 will:2 cox:2 couplings:1 procedure:2 pessimistic:1 coupled:1 characteristics:1 technifermions:1 fermion:1 different:1 thesis:2 radiation:1 same:2 verifies:1 pad:2 pauli:1 largest:1 several:1 events:7 higher:1 investigated:1 closest:1 boosted:1 tops:1 effect:1 phd:1 running:1 uses:1 sjostrand:1 recent:1 weakly:1 scenario:2 colour:2 parameterised:1 analysis:4 finds:1 without:1 components:2 sets:1 model:6 dimension:1 effects:1 allwood:2 less:1 when:1 underlying:1 ldt:3 alternative:1 scattering:8 cut:5 candidate:3 density:1 signals:6 momentum:2 resolved:1 possible:4 fusion:1 five:2 background:10 using:9 imposed:1 signal:14 specific:1 either:1 become:2 reduces:1 because:1 some:1 searching:1 extended:1 resolutions:1 scale:5 lead:1 resonances:2 quarks:2 subjets:1 per:2 does:2 subjet:2 assuming:2 y21:2 run:1 expansion:1 br:2 found:1 analyses:1 central:2 kinematic:1 constraint:1 simulation:4 range:2 estimator:1 plus:1 d65:1 d67:1 introduced:2 peak:1 considerations:1 into:4 within:1 bound:1 lb:2 appropriate:1 right:1 references:1 reducing:3 d62:1 uncertainties:2 hep:2 log:1 assumed:2 there:4 fast:2 quadratic:1 bosons:9 low:1 forward:2 was:2 leptonically:1 but:1 leptons:2 highest:4 true:2 made:1 flavour:1 default:1 up:1 below:1 uk:1 sum:1 ωa:1 fluctuations:1 a4:4 similar:1 originating:1 d22:1 computing:1 describe:1 conserved:1 dν:1 exist:1 accounting:1 no:3 generally:1 other:1 ll:1 generated:1 important:1 a5:4 pythia:2 lane:1 coupling:2 algorithm:2 required:4 mass:14 backward:1 starting:3 original:1

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