Unnamed: 0
int64 0
358k
| authors
stringlengths 4
62.8k
| title
stringlengths 3
246
| abstract
stringlengths 3
4.09k
| update_date
stringdate 2025-01-01 00:00:00
2025-12-13 00:00:00
| year
int64 2.03k
2.03k
| abstract_clean
stringlengths 2
3.56k
|
|---|---|---|---|---|---|---|
0
|
Cyril Houdayer
|
Construction of type ${\rm II_1}$ factors with prescribed countable fundamental group
|
In the context of Free Probability Theory, we study two different constructions that provide new examples of factors of type ${\rm II_1}$ with prescribed fundamental group. First we investigate state-preserving group actions on the almost periodic free Araki-Woods factors satisfying both a condition of mixing and a condition of free malleability in the sense of Popa. Typical examples are given by the free Bogoliubov shifts. Take an ICC $w$-rigid group $G$ such that $\mathcal{F}(L(G)) = \{1\}$ (e.g. $G = \Z^2 \rtimes \SL(2, \Z)$). For any countable subgroup $S \subset \R^*_+$, we show that there exists an action of $G$ on $L(\F_\infty)$ such that $L(\F_\infty) \rtimes G$ is a type ${\rm II_1}$ factor and its fundamental group is $S$. The second construction is based on a free product. Take $(B(H), \psi)$ any factor of type ${\rm I}$ endowed with a faithful normal state and denote by $\Gamma \subset \R^*_+$ the subgroup generated by the point spectrum of $\psi$. We show that the centralizer $(L(G) \ast B(H))^{\tau \ast \psi}$ is a type ${\rm II_1}$ factor and its fundamental group is $\Gamma$. Our proofs rely on Popa's deformation/rigidity strategy using his intertwining-by-bimodules technique.
|
2025-07-17
| 2,025
|
in the context of free probabl theori we studi two differ construct that provid new exampl of factor of type rm ii with prescrib fundament group first we investig state preserv group action on the almost period free araki wood factor satisfi both a condit of mix and a condit of free malleabl in the sens of popa typic exampl are given by the free bogoliubov shift take an icc w rigid group g such that mathcal f l g e g g z rtime sl z for ani countabl subgroup s subset r we show that there exist an action of g on l f infti such that l f infti rtime g is a type rm ii factor and it fundament group is s the second construct is base on a free product take b h psi ani factor of type rm i endow with a faith normal state and denot by gamma subset r the subgroup gener by the point spectrum of psi we show that the central l g ast b h tau ast psi is a type rm ii factor and it fundament group is gamma our proof reli on popa s deform rigid strategi use hi intertwin by bimodul techniqu
|
1
|
Dhananjay P. Mehendale
|
Hamiltonian Graphs and the Traveling Salesman Problem
|
A new characterization of Hamiltonian graphs using f-cutset matrix is
proposed. Based on this new characterization, a new exact polynomial time
algorithm for the traveling salesman problem (TSP) is developed. We then define
the so-called ordered weighted adjacency list for given weighted complete graph
and proceed to the paper's main result, namely, the exact algorithm based on
the utilization of the ordered weighted adjacency list and the simple
properties that any path or circuit must satisfy. This algorithm performs
checking of sub-lists, containing (p-1) entries (edge pairs) for paths and p
entries (edge pairs) for circuits, chosen from ordered adjacency list in a well
defined sequence to determine exactly the shortest Hamiltonian path and
shortest Hamiltonian circuit in a weighted complete graph of p vertices. The
procedure has intrinsic advantage of landing on the desired solution in
quickest possible time and even in worst case in polynomial time. A new
characterization of the shortest Hamiltonian tour for a weighted complete graph
satisfying triangle inequality (i.e. for tours passing through every city on a
realistic map of cities where cities can be taken as points on a Euclidean
plane) is also proposed. Finally, we propose a classical algorithm for
unstructured search, three new quantum algorithms for unstructured search,
which exponentially speed up the searching ability in the unstructured
database, and one quantum algorithm for solving a K-SAT problem and indicate
its effect on traveling salesman problem and other NP-complete problems.
|
2025-02-26
| 2,025
|
a new character of hamiltonian graph use f cutset matrix is propos base on thi new character a new exact polynomi time algorithm for the travel salesman problem tsp is develop we then defin the so call order weight adjac list for given weight complet graph and proceed to the paper s main result name the exact algorithm base on the util of the order weight adjac list and the simpl properti that ani path or circuit must satisfi thi algorithm perform check of sub list contain p entri edg pair for path and p entri edg pair for circuit chosen from order adjac list in a well defin sequenc to determin exactli the shortest hamiltonian path and shortest hamiltonian circuit in a weight complet graph of p vertic the procedur ha intrins advantag of land on the desir solut in quickest possibl time and even in worst case in polynomi time a new character of the shortest hamiltonian tour for a weight complet graph satisfi triangl inequ i e for tour pass through everi citi on a realist map of citi where citi can be taken as point on a euclidean plane is also propos final we propos a classic algorithm for unstructur search three new quantum algorithm for unstructur search which exponenti speed up the search abil in the unstructur databas and one quantum algorithm for solv a k sat problem and indic it effect on travel salesman problem and other np complet problem
|
2
|
Fabrizio Catanese, Fr\'ed\'eric Mangolte
|
Real singular Del Pezzo surfaces and threefolds fibred by rational curves, I
|
Let W -> X be a real smooth projective threefold fibred by rational curves. Koll\'ar proved that if W(R) is orientable a connected component N of W(R) is essentially either a Seifert fibred manifold or a connected sum of lens spaces. Let k : = k(N) be the integer defined as follows: If g : N -> F is a Seifert fibration, one defines k : = k(N) as the number of multiple fibres of g, while, if N is a connected sum of lens spaces, k is defined as the number of lens spaces different from P^3(R). Our Main Theorem says: If X is a geometrically rational surface, then k <= 4. Moreover we show that if F is diffeomorphic to S^1xS^1, then W(R) is connected and k = 0. These results answer in the affirmative two questions of Koll\'ar who proved in 1999 that k <= 6 and suggested that 4 would be the sharp bound. We derive the Theorem from a careful study of real singular Del Pezzo surfaces with only Du Val singularities.
|
2025-05-26
| 2,025
|
let w x be a real smooth project threefold fibr by ration curv koll ar prove that if w r is orient a connect compon n of w r is essenti either a seifert fibr manifold or a connect sum of len space let k k n be the integ defin as follow if g n f is a seifert fibrat one defin k k n as the number of multipl fibr of g while if n is a connect sum of len space k is defin as the number of len space differ from p r our main theorem say if x is a geometr ration surfac then k moreov we show that if f is diffeomorph to s xs then w r is connect and k these result answer in the affirm two question of koll ar who prove in that k and suggest that would be the sharp bound we deriv the theorem from a care studi of real singular del pezzo surfac with onli du val singular
|
3
|
Richard J. Mathar
|
Third Order Newton's Method for Zernike Polynomial Zeros
|
The Zernike radial polynomials are a system of orthogonal polynomials over the unit interval with weight x. They are used as basis functions in optics to expand fields over the cross section of circular pupils. To calculate the roots of Zernike polynomials, we optimize the generic iterative numerical Newton's Method that iterates on zeros of functions with third order convergence. The technique is based on rewriting the polynomials as Gauss Hypergeometric Functions, reduction of second order derivatives to first order derivatives, and evaluation of some ratios of derivatives by terminating continued fractions.
A PARI program and a short table of zeros complete up to polynomials of 40th order are included.
|
2025-10-13
| 2,025
|
the zernik radial polynomi are a system of orthogon polynomi over the unit interv with weight x they are use as basi function in optic to expand field over the cross section of circular pupil to calcul the root of zernik polynomi we optim the gener iter numer newton s method that iter on zero of function with third order converg the techniqu is base on rewrit the polynomi as gauss hypergeometr function reduct of second order deriv to first order deriv and evalu of some ratio of deriv by termin continu fraction a pari program and a short tabl of zero complet up to polynomi of th order are includ
|
4
|
S. Ishikawa
|
Spin-dependent three-nucleon force effects on nucleon-deuteron
scattering
|
We construct a phenomenological three-nucleon force (3NF) model that gives a
good description of polarization observables in elastic nucleon-deuteron
(N-$d$) scattering at a low energy together with a realistic nucleon-nucleon
force and a 3NF arising from the exchange of two pions. Parameters of the
model, which consists of spin-independent, spin-orbit, and tensor components,
are determined to reproduce the three-nucleon binding energy and polarization
observables in N-d scattering at 3 MeV. Predictions of the model 3NF on N-d
polarization observables at higher energies are examined, and effects of each
component on the observables are investigated.
|
2025-03-20
| 2,025
|
we construct a phenomenolog three nucleon forc nf model that give a good descript of polar observ in elast nucleon deuteron n d scatter at a low energi togeth with a realist nucleon nucleon forc and a nf aris from the exchang of two pion paramet of the model which consist of spin independ spin orbit and tensor compon are determin to reproduc the three nucleon bind energi and polar observ in n d scatter at mev predict of the model nf on n d polar observ at higher energi are examin and effect of each compon on the observ are investig
|
5
|
Woong-Seob Jeong (1), Chris P. Pearson (1 and 2), Hyung Mok Lee (3), Shuji Matsuura (1), Mitsunobu Kawada (4), Takao Nakagawa (1), Sang Hoon Oh (3), Mai Shirahata (1), Sungho Lee (5), Ho Seong Hwang (3), Hideo Matsuhara (1) ((1) ISAS/JAXA, Japan, (2) ESAC, Spain, (3) Seoul Nat'l Univ., Korea, (4) Nagoya Univ., Japan, (5) KASI, Korea)
|
Detection of CFIRB with AKARI/FIS Deep Observations
|
The Cosmic Far-Infrared Background (CFIRB) contains information about the number and distribution of contributing sources and thus gives us an important key to understand the evolution of galaxies. Using a confusion study to set a fundamental limit to the observations, we investigate the potential to explore the CFIRB with AKARI/FIS deep observations. The Far-Infrared Surveyor (FIS) is one of the focal-plane instruments on the AKARI (formerly known as ASTRO-F) satellite, which was launched in early 2006. Based upon source distribution models assuming three different cosmological evolutionary scenarios (no evolution, weak evolution, and strong evolution), an extensive model for diffuse emission from infrared cirrus, and instrumental noise estimates, we present a comprehensive analysis for the determination of the confusion levels for deep far-infrared observations. We use our derived sensitivities to suggest the best observational strategy for the AKARI/FIS mission to detect the CFIRB fluctuations. If the source distribution follows the evolutionary models, observations will be mostly limited by source confusion. We find that we will be able to detect the CFIRB fluctuations and that these will in turn provide information to discriminate between the evolutionary scenarios of galaxies in most low-to-medium cirrus regions.
|
2025-08-26
| 2,025
|
the cosmic far infrar background cfirb contain inform about the number and distribut of contribut sourc and thu give us an import key to understand the evolut of galaxi use a confus studi to set a fundament limit to the observ we investig the potenti to explor the cfirb with akari fi deep observ the far infrar surveyor fi is one of the focal plane instrument on the akari formerli known as astro f satellit which wa launch in earli base upon sourc distribut model assum three differ cosmolog evolutionari scenario no evolut weak evolut and strong evolut an extens model for diffus emiss from infrar cirru and instrument nois estim we present a comprehens analysi for the determin of the confus level for deep far infrar observ we use our deriv sensit to suggest the best observ strategi for the akari fi mission to detect the cfirb fluctuat if the sourc distribut follow the evolutionari model observ will be mostli limit by sourc confus we find that we will be abl to detect the cfirb fluctuat and that these will in turn provid inform to discrimin between the evolutionari scenario of galaxi in most low to medium cirru region
|
6
|
A. Eriksson, P. Fernstrom, B. Mehlig, and S. Sagitov
|
An accurate model for genetic hitch-hiking
|
We suggest a simple deterministic approximation for the growth of the favoured-allele frequency during a selective sweep. Using this approximation we introduce an accurate model for genetic hitch-hiking. Only when Ns < 10 (N is the population size and s denotes the selection coefficient), are discrepancies between our approximation and direct numerical simulations of a Moran model noticeable. Our model describes the gene genealogies of a contiguous segment of neutral loci close to the selected one, and it does not assume that the selective sweep happens instantaneously. This enables us to compute SNP distributions on the neutral segment without bias.
|
2025-10-01
| 2,025
|
we suggest a simpl determinist approxim for the growth of the favour allel frequenc dure a select sweep use thi approxim we introduc an accur model for genet hitch hike onli when ns n is the popul size and s denot the select coeffici are discrep between our approxim and direct numer simul of a moran model notic our model describ the gene genealog of a contigu segment of neutral loci close to the select one and it doe not assum that the select sweep happen instantan thi enabl us to comput snp distribut on the neutral segment without bia
|
7
|
Michael Frank and Kamran Sharifi
|
Adjointability of densely defined closed operators and the
Magajna-Schweizer Theorem
|
In this notes unbounded regular operators on Hilbert $C^*$-modules over
arbitrary $C^*$-algebras are discussed. A densely defined operator $t$
possesses an adjoint operator if the graph of $t$ is an orthogonal summand.
Moreover, for a densely defined operator $t$ the graph of $t$ is orthogonally
complemented and the range of $P_FP_{G(t)^\bot}$ is dense in its biorthogonal
complement if and only if $t$ is regular. For a given $C^*$-algebra $\mathcal
A$ any densely defined $\mathcal A$-linear closed operator $t$ between Hilbert
$C^*$-modules is regular, if and only if any densely defined $\mathcal
A$-linear closed operator $t$ between Hilbert $C^*$-modules admits a densely
defined adjoint operator, if and only if $\mathcal A$ is a $C^*$-algebra of
compact operators. Some further characterizations of closed and regular modular
operators are obtained.
Changes 1: Improved results, corrected misprints, added references. Accepted
by J. Operator Theory, August 2007 / Changes 2: Filled gap in the proof of Thm.
3.1, changes in the formulations of Cor. 3.2 and Thm. 3.4, updated references
and address of the second author.
|
2025-04-29
| 2,025
|
in thi note unbound regular oper on hilbert c modul over arbitrari c algebra are discuss a dens defin oper t possess an adjoint oper if the graph of t is an orthogon summand moreov for a dens defin oper t the graph of t is orthogon complement and the rang of p fp g t bot is dens in it biorthogon complement if and onli if t is regular for a given c algebra mathcal a ani dens defin mathcal a linear close oper t between hilbert c modul is regular if and onli if ani dens defin mathcal a linear close oper t between hilbert c modul admit a dens defin adjoint oper if and onli if mathcal a is a c algebra of compact oper some further character of close and regular modular oper are obtain chang improv result correct misprint ad refer accept by j oper theori august chang fill gap in the proof of thm chang in the formul of cor and thm updat refer and address of the second author
|
8
|
Gerald H\"ohn
|
Selbstduale Vertexoperatorsuperalgebren und das Babymonster (Self-dual Vertex Operator Super Algebras and the Baby Monster)
|
We investigate self-dual vertex operator algebras (VOAs) and super algebras (SVOAs). Using the genus one correlation functions, it is shown that self-dual SVOAs exist only for half-integral central charges. It is described how self-dual SVOAs can be constructed from self-dual VOAs of larger central charge. The analogy with integral lattices and binary codes is emphasized.
One main result is the construction of the shorter Moonshine module, a self-dual SVOA of central charge 23.5 on which the Baby monster - the second largest sporadic simple group - acts by automorphisms. The shorter Moonshine module has the character q^(-47/48)*(1+ 4371q^(3/2)+ 96256q^2+ 1143745q^(5/2) +...) and is the "shorter cousin" of the Moonshine module. Its lattice and code analog are the shorter Leech lattice and shorter Golay code. We conjecture that the shorter Moonshine module is the unique SVOA with this character.
The final chapter introduces the notion of extremal VOAs and SVOAs. These are self-dual (S)VOAs with character having the same first few coefficients as the vacuum representation of the Virasoro algebra of the same central charge. We show that extremal VOAs exist at least for the central charges 8, 16, 24, 32, 40 and that extremal SVOAs exist only for the central charges c=0.5, 1, ..., 7.5, 8, 12, 14, 15, 15.5, 23.5 and 24. Examples for c=24 (resp. 23.5) are the (shorter) Moonshine module. Again, our results are similar to results known for codes and lattices.
|
2025-10-13
| 2,025
|
we investig self dual vertex oper algebra voa and super algebra svoa use the genu one correl function it is shown that self dual svoa exist onli for half integr central charg it is describ how self dual svoa can be construct from self dual voa of larger central charg the analog with integr lattic and binari code is emphas one main result is the construct of the shorter moonshin modul a self dual svoa of central charg on which the babi monster the second largest sporad simpl group act by automorph the shorter moonshin modul ha the charact q q q q and is the shorter cousin of the moonshin modul it lattic and code analog are the shorter leech lattic and shorter golay code we conjectur that the shorter moonshin modul is the uniqu svoa with thi charact the final chapter introduc the notion of extrem voa and svoa these are self dual s voa with charact have the same first few coeffici as the vacuum represent of the virasoro algebra of the same central charg we show that extrem voa exist at least for the central charg and that extrem svoa exist onli for the central charg c and exampl for c resp are the shorter moonshin modul again our result are similar to result known for code and lattic
|
9
|
Hisanobu Shinya
|
A new result under the negation of the Riemann hypothesis
|
Suppose that the Riemann hypothesis for the Riemann $\zeta$-function is false. There have yet been no workable results that the falsity of the Riemann hypothesis implies. The result of this article may be considered as more workable for the sake of deducing other new results on the Riemann hypothesis.
|
2025-12-04
| 2,025
|
suppos that the riemann hypothesi for the riemann zeta function is fals there have yet been no workabl result that the falsiti of the riemann hypothesi impli the result of thi articl may be consid as more workabl for the sake of deduc other new result on the riemann hypothesi
|
10
|
Jinzhu Han
|
Study on Hilbert's Eighth Problems
|
In this paper, we used the principle of sieve function transformation to improve sieve method and the prime number theorem in the arithmetic sequence.For this, we proved General Riemann Hypothesis and Riemann Hypothesis to be true. further, we improved Selberg's line sieve method and proved Goldbach Conjecture and Twin Prime Conjecture to be true. However, we basically solved Hilbert's eighth problems.
|
2025-06-09
| 2,025
|
in thi paper we use the principl of siev function transform to improv siev method and the prime number theorem in the arithmet sequenc for thi we prove gener riemann hypothesi and riemann hypothesi to be true further we improv selberg s line siev method and prove goldbach conjectur and twin prime conjectur to be true howev we basic solv hilbert s eighth problem
|
11
|
Hiroki Ohta and Shin-ichi Sasa
|
Critical fluctuations of time-dependent magnetization in a random-field
Ising model
|
Cooperative behaviors near the disorder-induced critical point in a random
field Ising model are numerically investigated by analyzing time-dependent
magnetization in ordering processes from a special initial condition. We find
that the intensity of fluctuations of time-dependent magnetization, $\chi(t)$,
attains a maximum value at a time $t=\tau$ in a normal phase and that
$\chi(\tau)$ and $\tau$ exhibit divergences near the disorder-induced critical
point. Furthermore, spin configurations around the time $\tau$ are
characterized by a length scale, which also exhibits a divergence near the
critical point. We estimate the critical exponents that characterize these
power-law divergences by using a finite-size scaling method.
|
2025-01-06
| 2,025
|
cooper behavior near the disord induc critic point in a random field ise model are numer investig by analyz time depend magnet in order process from a special initi condit we find that the intens of fluctuat of time depend magnet chi t attain a maximum valu at a time t tau in a normal phase and that chi tau and tau exhibit diverg near the disord induc critic point furthermor spin configur around the time tau are character by a length scale which also exhibit a diverg near the critic point we estim the critic expon that character these power law diverg by use a finit size scale method
|
12
|
Yuri Neretin
|
Gauss--Berezin integral operators and spinors over supergroups
$\mathrm{OSp}(2p|2q)$, and Lagrangian super-Grasmannians
|
We obtain explicit formulas for the spinor representation $\rho$ of the real
orthosymplectic supergroup $\mathrm{OSp}(2p|2q,\mathbb{R})$ by integral
'Gauss--Berezin' operators. Next, we extend $\rho$ to a complex domain and get
a representation of a larger semigroup, which is a counterpart of Olshanski
subsemigroups in semisimple Lie groups. Further, we show that $\rho$ can be
extended to an operator-valued function on a certain domain in the Lagrangian
super-Grassmannian (graphs of elements of the supergroup
$\mathrm{OSp}(2p|2q,\mathbb{C})$ are Lagrangian super-subspaces) and show that
this function is a 'representation' in the following sense: we consider
Lagrangian subspaces as linear relations and composition of two Lagrangian
relations in general position corresponds to a product of Gauss--Berezin
operators
|
2025-02-11
| 2,025
|
we obtain explicit formula for the spinor represent rho of the real orthosymplect supergroup mathrm osp p q mathbb r by integr gauss berezin oper next we extend rho to a complex domain and get a represent of a larger semigroup which is a counterpart of olshanski subsemigroup in semisimpl lie group further we show that rho can be extend to an oper valu function on a certain domain in the lagrangian super grassmannian graph of element of the supergroup mathrm osp p q mathbb c are lagrangian super subspac and show that thi function is a represent in the follow sens we consid lagrangian subspac as linear relat and composit of two lagrangian relat in gener posit correspond to a product of gauss berezin oper
|
13
|
Jerrold Franklin
|
The nature of electromagnetic energy
|
We study the nature and location of electromagetic energy for two cases. The energy density for electromagnetic radiation is shown to be $\frac{1}{8\pi}(E^2+B^2)$, with the energy contained in the electromagnet fields. For a static charge distribution, the electromagnet energy is contained in the charge, with an energy density, $\frac{1}{2}\rho\phi$, There is no energy outside the charge distribution. The electromagnetic fields do not contain the energy, and $\frac{1}{8\pi}(E^2+B^2)$ cannot be considered an energy density in this case. There is no ambiguity in either case as to where the energy is located.
|
2025-05-16
| 2,025
|
we studi the natur and locat of electromaget energi for two case the energi densiti for electromagnet radiat is shown to be frac pi e b with the energi contain in the electromagnet field for a static charg distribut the electromagnet energi is contain in the charg with an energi densiti frac rho phi there is no energi outsid the charg distribut the electromagnet field do not contain the energi and frac pi e b cannot be consid an energi densiti in thi case there is no ambigu in either case as to where the energi is locat
|
14
|
Vikram H. Zaveri
|
Periodic relativity: the theory of gravity in flat space time
|
Periodic relativity (PR), uses a flat metric without weak field
approximation. PR satisfies Einstein's field equations. PR proposes a definite
connection between the proper time interval of an object and Doppler frequency
shift of its constituent particles. This is because fundamentally time is
periodic in nature. Periodic time of PR is the key parameter in development of
quantum gravity theory in which the universe begins with a quantum fluctuation
in the fundamental substance of the universe which is infinite, motionless and
indivisible. PR is based on the dynamic weak equivalence principle which
equates the gravitational mass with the relativistic mass. PR provides accurate
solutions for the rotation curves of galaxies and the energy levels of the
Hydrogen spectra including Lamb shift using common formalism. Flat space time
with Lorentz invariant acceleration presented here makes it possible to unite
PR with quantum mechanics. PR predicts limiting radius of the event horizon of
a black hole to be 1R_g and the shadow of a black hole to be due to frequency
shift of visible light into ultraviolet and higher range. PR equations can
probe inside the event horizon. Mathematical proof of periodic nature of time
is presented by way of introducing gravity into the electromagnetic wave
formalism. Theory shows that the electromagnetic wave is held together by
gravitational forces. Theory explains the mechanism of gravitational redshift
predicted by general relativity and predicts powerful gravitational radiation
at Planck epoch. Gravitational-wave strain amplitude is derived using quantum
mechanical formalism. Bound on graviton mass is mg < 1.51 x 10^{-41}eV/c^2.
Mechanism that explains Gamma-ray burst associated with GW150914 is presented.
GRB can shrink the event horizon. Gravity assisted EM wave stacking creates
$\gamma$-rays in M87 BH.
|
2025-01-16
| 2,025
|
period rel pr use a flat metric without weak field approxim pr satisfi einstein s field equat pr propos a definit connect between the proper time interv of an object and doppler frequenc shift of it constitu particl thi is becaus fundament time is period in natur period time of pr is the key paramet in develop of quantum graviti theori in which the univers begin with a quantum fluctuat in the fundament substanc of the univers which is infinit motionless and indivis pr is base on the dynam weak equival principl which equat the gravit mass with the relativist mass pr provid accur solut for the rotat curv of galaxi and the energi level of the hydrogen spectra includ lamb shift use common formal flat space time with lorentz invari acceler present here make it possibl to unit pr with quantum mechan pr predict limit radiu of the event horizon of a black hole to be r g and the shadow of a black hole to be due to frequenc shift of visibl light into ultraviolet and higher rang pr equat can probe insid the event horizon mathemat proof of period natur of time is present by way of introduc graviti into the electromagnet wave formal theori show that the electromagnet wave is held togeth by gravit forc theori explain the mechan of gravit redshift predict by gener rel and predict power gravit radiat at planck epoch gravit wave strain amplitud is deriv use quantum mechan formal bound on graviton mass is mg x ev c mechan that explain gamma ray burst associ with gw is present grb can shrink the event horizon graviti assist em wave stack creat gamma ray in m bh
|
15
|
Woong-Seob Jeong, Takao Nakagawa, Issei Yamamura, Chris P. Pearson, Richard S. Savage, Hyung Mok Lee, Hiroshi Shibai, Sin'itirou Makiuti, Hajime Baba, Dave Clements, Yasuo Doi, Elysandora Figueredo, Tomotsugu Goto, Sunao Hasegawa, Mitsunobu Kawada, Akiko Kawamura, Do Kester, Suk Minn Kwon, Hideo Matsuhara, Shuji Matsuura, Hiroshi Murakami, Sang Hoon Oh, Soojong Pak, Yong-Sun Park, Michael Rowan-Robinson, Stephen Serjeant, Mai Shirahata, Jungjoo Sohn, Toshinobu Takagi, Lingyu Wang, Glenn J. White, Chisato Yamauchi
|
The Far-Infrared Properties of Spatially Resolved AKARI Observations
|
We present the spatially resolved observations of IRAS sources from the Japanese infrared astronomy satellite AKARI All-Sky Survey during the performance verification (PV) phase of the mission. We extracted reliable point sources matched with IRAS point source catalogue. By comparing IRAS and AKARI fluxes, we found that the flux measurements of some IRAS sources could have been over or underestimated and affected by the local background rather than the global background. We also found possible candidates for new AKARI sources and confirmed that AKARI observations resolved IRAS sources into multiple sources. All-Sky Survey observations are expected to verify the accuracies of IRAS flux measurements and to find new extragalactic point sources.
|
2025-08-26
| 2,025
|
we present the spatial resolv observ of ira sourc from the japanes infrar astronomi satellit akari all sky survey dure the perform verif pv phase of the mission we extract reliabl point sourc match with ira point sourc catalogu by compar ira and akari flux we found that the flux measur of some ira sourc could have been over or underestim and affect by the local background rather than the global background we also found possibl candid for new akari sourc and confirm that akari observ resolv ira sourc into multipl sourc all sky survey observ are expect to verifi the accuraci of ira flux measur and to find new extragalact point sourc
|
16
|
F.A. Gareev, G.F. Gareeva, I.E. Zhidkova
|
Quantization of Atomic and Nuclear Rest Masses
|
We were able to quantize phenomenologically the first time the atomic and
nuclear rest masses. Note that this quantization rule is justified for atoms
and nuclei with different A, N and Z and the nuclei and atoms represent a
coherent synchronized systems -- a complex of coupled oscillators (resonators).
The cooperative resonance synchronization mechanisms are responsible for
explanation of how the electron volt world can influence the nuclear mega
electron volt world. It means that we created new possibilities for inducing
and controlling nuclear reactions by atomic processes.
|
2025-02-08
| 2,025
|
we were abl to quantiz phenomenolog the first time the atom and nuclear rest mass note that thi quantiz rule is justifi for atom and nuclei with differ a n and z and the nuclei and atom repres a coher synchron system a complex of coupl oscil reson the cooper reson synchron mechan are respons for explan of how the electron volt world can influenc the nuclear mega electron volt world it mean that we creat new possibl for induc and control nuclear reaction by atom process
|
17
|
Vladislav V. Kravchenko
|
Solution of the equation d/dx(pdu/dx)+qu=cu by a solution of the
equation d/dx(pdu/dx)+qu=0
|
We give a simple solution of the equation d/dx(pdu/dx)+qu=cu whenever a
nontrivial solution of d/dx(pdu/dx)+qu=0 is known. The method developed for
obtaining this result is based on the theory of pseudoanalytic functions and
their relationship with solutions of the stationary two-dimensional Schrodinger
equation. The final result, that is the formula for the general solution of the
equation d/dx(pdu/dx)+qu=cu has a simple and easily verifiable form.
|
2025-05-06
| 2,025
|
we give a simpl solut of the equat d dx pdu dx qu cu whenev a nontrivi solut of d dx pdu dx qu is known the method develop for obtain thi result is base on the theori of pseudoanalyt function and their relationship with solut of the stationari two dimension schroding equat the final result that is the formula for the gener solut of the equat d dx pdu dx qu cu ha a simpl and easili verifi form
|
18
|
S.V. Goloskokov (JINR) and P. Kroll (Wuppertal Univ.)
|
The role of the quark and gluon GPDs in hard vector-meson
electroproduction
|
Electroproduction of light vector mesons is analyzed on the basis of handbag
factorization. The required generalized parton distributions are constructed
from the CTEQ6 parton distributions with the help of double distributions. The
partonic subprocesses are calculated within the modified perturbative approach.
The present work extends our previous analysis of the longitudinal cross
section to the transverse one and other observables related to both the
corresponding amplitudes. Our results are compared to recent experimental
findings in detail.
|
2025-01-22
| 2,025
|
electroproduct of light vector meson is analyz on the basi of handbag factor the requir gener parton distribut are construct from the cteq parton distribut with the help of doubl distribut the parton subprocess are calcul within the modifi perturb approach the present work extend our previou analysi of the longitudin cross section to the transvers one and other observ relat to both the correspond amplitud our result are compar to recent experiment find in detail
|
19
|
Johannes Huisman and Fr\'ed\'eric Mangolte
|
The group of automorphisms of a real rational surface is n-transitive
|
Let X be a rational nonsingular compact connected real algebraic surface. Denote by Aut(X) the group of real algebraic automorphisms of X. We show that the group Aut(X) acts n-transitively on X, for all natural integers n. As an application we give a new and simpler proof of the fact that two rational nonsingular compact connected real algebraic surfaces are isomorphic if and only if they are homeomorphic as topological surfaces.
|
2025-05-23
| 2,025
|
let x be a ration nonsingular compact connect real algebra surfac denot by aut x the group of real algebra automorph of x we show that the group aut x act n transit on x for all natur integ n as an applic we give a new and simpler proof of the fact that two ration nonsingular compact connect real algebra surfac are isomorph if and onli if they are homeomorph as topolog surfac
|
20
|
Mariko Ninomiya, Syoiti Ninomiya
|
A new weak approximation scheme of stochastic differential equations and
the Runge-Kutta method
|
In this paper, authors successfully construct a new algorithm for the new
higher order scheme of weak approximation of SDEs. The algorithm presented here
is based on [1][2]. Although this algorithm shares some features with the
algorithm presented by [3], algorithms themselves are completely different and
the diversity is not trivial. They apply this new algorithm to the problem of
pricing Asian options under the Heston stochastic volatility model and obtain
encouraging results.
[1] Shigeo Kusuoka, "Approximation of Expectation of Diffusion Process and
Mathematical Finance," Advanced Studies in Pure Mathematics, Proceedings of
Final Taniguchi Symposium, Nara 1998 (T. Sunada, ed.), vol. 31 2001, pp.
147--165. [2] Terry Lyons and Nicolas Victoir, "Cubature on Wiener Space,"
Proceedings of the Royal Society of London. Series A. Mathematical and Physical
Sciences 460 (2004), pp. 169--198. [3] Syoiti Ninomiya, Nicolas Victoir, "Weak
approximation of stochastic differential equations and application to
derivative pricing," Applied Mathematical Finance, Volume 15, Issue 2 April
2008, pages 107--121
|
2025-04-28
| 2,025
|
in thi paper author success construct a new algorithm for the new higher order scheme of weak approxim of sde the algorithm present here is base on although thi algorithm share some featur with the algorithm present by algorithm themselv are complet differ and the divers is not trivial they appli thi new algorithm to the problem of price asian option under the heston stochast volatil model and obtain encourag result shigeo kusuoka approxim of expect of diffus process and mathemat financ advanc studi in pure mathemat proceed of final taniguchi symposium nara t sunada ed vol pp terri lyon and nicola victoir cubatur on wiener space proceed of the royal societi of london seri a mathemat and physic scienc pp syoiti ninomiya nicola victoir weak approxim of stochast differenti equat and applic to deriv price appli mathemat financ volum issu april page
|
21
|
Michael Frank, Alexander A. Pavlov
|
Strict essential extensions of C*-algebras and Hilbert C*-modules
|
In the present paper we develop both ideas of D. Baki\'c and B. Gulja{\v{s}}
and the categorical approach to multipliers from E.C. Lance's book and
publications of the second author, for the introduction and study of left
multipliers of Hilbert $C^*$-modules. Some properties and, in particular, the
property of maximality among all strictly essential extensions of a Hilbert
$C^*$-module for left multipliers are proved. Also relations between left
essential and left strictly essential extensions in different contexts are
obtained. Left essential and left strictly essential extensions of matrix
algebras are considered. In the final paragraph the topological approach to the
left multiplier theory of Hilbert $C^*$-modules is worked out.
|
2025-04-29
| 2,025
|
in the present paper we develop both idea of d baki c and b gulja v s and the categor approach to multipli from e c lanc s book and public of the second author for the introduct and studi of left multipli of hilbert c modul some properti and in particular the properti of maxim among all strictli essenti extens of a hilbert c modul for left multipli are prove also relat between left essenti and left strictli essenti extens in differ context are obtain left essenti and left strictli essenti extens of matrix algebra are consid in the final paragraph the topolog approach to the left multipli theori of hilbert c modul is work out
|
22
|
B. C. Sanctuary
|
Rationalization of EPR Coincidence Experiments
|
Coincidence experiments on EPR pairs show strong violations of Bell's
Inequalities at certain filter settings which is widely believed to mean that
local hidden variable models cannot explain these results. In this paper it is
shown that the 'non-separable' singlet density matrix can be represented as a
sum of separable density matrices which are products of individual
non-hermitian spin operator states. This decomposition is consistent with the
intuitive notion that after separation from the singlet the two physical
systems should be described by a product state. In spite of the
non-hermiticity, the values of the relevant spin observables are real. A new
local hidden variable model inspired by this decomposition is discussed.
|
2025-04-03
| 2,025
|
coincid experi on epr pair show strong violat of bell s inequ at certain filter set which is wide believ to mean that local hidden variabl model cannot explain these result in thi paper it is shown that the non separ singlet densiti matrix can be repres as a sum of separ densiti matric which are product of individu non hermitian spin oper state thi decomposit is consist with the intuit notion that after separ from the singlet the two physic system should be describ by a product state in spite of the non hermit the valu of the relev spin observ are real a new local hidden variabl model inspir by thi decomposit is discuss
|
23
|
P. Kroll (Wuppertal Univ.)
|
Hard exclusive scattering at Jlab
|
The various factorization schemes for hard exclusive processes and the status
of their applications is briefly reviewed.
|
2025-01-22
| 2,025
|
the variou factor scheme for hard exclus process and the statu of their applic is briefli review
|
24
|
Youssef Alaoui
|
On $q$-complete and $q$-concave with corners complex manifolds
|
It is proved that if there exists a positive and continuous function $f$ on an $n$-dimensional complex manifold $X$, $q$-convex with corners outside a compact set $K\subset X$ and which exhausts $X$ from below, then $dim_{\mathbb{C}}H^{p}(X,{\mathcal{F}})<+\infty$ for any coherent analytic sheaf ${\mathcal{F}}$ on $X$ if $p<n-q$. It is known from the theory of Andreotti and Grauert that if a complex space $X$ is $q$-complete, then $X$ is cohomoloogically $q$-complete. Until now it is not known in general if these two conditions are equivalent. The aim of section $4$ of this article is to provide a counterexample to the conjecture posed by Andreotti and Grauert ~\cite{ref2} to show that a cohomologically $q$-complete space is not necessarily $q$-complete. In section $5$ of this article, we will prove that there exist for each pair of integers $(n,q)$ with $2\leq q\leq n-1$ a $q$-complete with corners open subset $D$ of $\mathbb{P}^{n}$ and $\mathcal{F}\in coh(\mathbb{P}^{n})$ such that $D$ is not cohomologically $\hat{q}$-complete with respect to ${\mathcal{F}}$. Here $\hat{q}=n-[\frac{n-1}{q}]$, where $[x]$ denotes the integral part of $x$.
|
2025-10-09
| 2,025
|
it is prove that if there exist a posit and continu function f on an n dimension complex manifold x q convex with corner outsid a compact set k subset x and which exhaust x from below then dim mathbb c h p x mathcal f infti for ani coher analyt sheaf mathcal f on x if p n q it is known from the theori of andreotti and grauert that if a complex space x is q complet then x is cohomoloog q complet until now it is not known in gener if these two condit are equival the aim of section of thi articl is to provid a counterexampl to the conjectur pose by andreotti and grauert cite ref to show that a cohomolog q complet space is not necessarili q complet in section of thi articl we will prove that there exist for each pair of integ n q with leq q leq n a q complet with corner open subset d of mathbb p n and mathcal f in coh mathbb p n such that d is not cohomolog hat q complet with respect to mathcal f here hat q n frac n q where x denot the integr part of x
|
25
|
Jean-Paul Doeraene, Enrique Macias-Virg\'os, Daniel Tanr\'e
|
Ganea and Whitehead definitions for the tangential
Lusternik-Schnirelmann category of foliations
|
This work solves the problem of elaborating Ganea and Whitehead definitions
for the tangential category of a foliated manifold. We develop these two
notions in the category $\Tops$ of stratified spaces, that are topological
spaces $X$ endowed with a partition $\cF$ and compare them to a third invariant
defined by using open sets. More precisely, these definitions apply to an
element $(X,\cF)$ of $\Tops$ together with a class $\cA$ of subsets of $X$;
they are similar to invariants introduced by M. Clapp and D. Puppe.
If $(X,\cF)\in\Tops$, we define a transverse subset as a subspace $A$ of $X$
such that the intersection $S\cap A$ is at most countable for any $S\in \cF$.
Then we define the Whitehead and Ganea LS-categories of the stratified space by
taking the infimum along the transverse subsets. When we have a closed
manifold, endowed with a $C^1$-foliation, the three previous definitions, with
$\cA$ the class of transverse subsets, coincide with the tangential category
and are homotopical invariants.
|
2025-03-11
| 2,025
|
thi work solv the problem of elabor ganea and whitehead definit for the tangenti categori of a foliat manifold we develop these two notion in the categori top of stratifi space that are topolog space x endow with a partit cf and compar them to a third invari defin by use open set more precis these definit appli to an element x cf of top togeth with a class ca of subset of x they are similar to invari introduc by m clapp and d pupp if x cf in top we defin a transvers subset as a subspac a of x such that the intersect s cap a is at most countabl for ani s in cf then we defin the whitehead and ganea ls categori of the stratifi space by take the infimum along the transvers subset when we have a close manifold endow with a c foliat the three previou definit with ca the class of transvers subset coincid with the tangenti categori and are homotop invari
|
26
|
Jan Snellman
|
Generating functions for borders
|
We give the generating function for the index of integer lattice points,
relative to a finite order ideal. The index is an important concept in the
theory of border bases, an alternative to Gr\"obner bases.
Equivalently, we explicitly solve a class of difference equations where the
right-hand side is the minimum of a number of affine forms.
|
2025-03-04
| 2,025
|
we give the gener function for the index of integ lattic point rel to a finit order ideal the index is an import concept in the theori of border base an altern to gr obner base equival we explicitli solv a class of differ equat where the right hand side is the minimum of a number of affin form
|
27
|
D. Le Bolloc'h, V.L.R. Jacques, N. Kirova, J. Dumas, S. Ravy, J.
Marcus, F. Livet
|
Observation of correlations up to the micrometer scale in sliding
charge-density waves
|
High-resolution coherent x-ray diffraction experiment has been performed on
the charge density wave (CDW) system K$_{0.3}$MoO$_3$. The $2k_F$ satellite
reflection associated with the CDW has been measured with respect to external
dc currents. In the sliding regime, the $2k_F$ satellite reflection displays
secondary satellites along the chain axis which corresponds to correlations up
to the micrometer scale. This super long range order is 1500 times larger than
the CDW period itself. This new type of electronic correlation seems inherent
to the collective dynamics of electrons in charge density wave systems. Several
scenarios are discussed.
|
2025-01-08
| 2,025
|
high resolut coher x ray diffract experi ha been perform on the charg densiti wave cdw system k moo the k f satellit reflect associ with the cdw ha been measur with respect to extern dc current in the slide regim the k f satellit reflect display secondari satellit along the chain axi which correspond to correl up to the micromet scale thi super long rang order is time larger than the cdw period itself thi new type of electron correl seem inher to the collect dynam of electron in charg densiti wave system sever scenario are discuss
|
28
|
M. Diehl (DESY Hamburg), Th. Feldmann (Univ. Siegen), P. Kroll (Univ.
Wuppertal)
|
Form factors and other measures of strangeness in the nucleon
|
We discuss the phenomenology of strange-quark dynamics in the nucleon, based
on experimental and theoretical results for electroweak form factors and for
parton densities. In particular, we construct a model for the generalized
parton distribution that relates the asymmetry s(x)-sbar(x) between the
longitudinal momentum distributions of strange quarks and antiquarks with the
form factor F1^s(t), which describes the distribution of strangeness in
transverse position space.
|
2025-01-22
| 2,025
|
we discuss the phenomenolog of strang quark dynam in the nucleon base on experiment and theoret result for electroweak form factor and for parton densiti in particular we construct a model for the gener parton distribut that relat the asymmetri s x sbar x between the longitudin momentum distribut of strang quark and antiquark with the form factor f s t which describ the distribut of strang in transvers posit space
|
29
|
Greg J. Stephens and William Bialek
|
Toward a statistical mechanics of four letter words
|
We consider words as a network of interacting letters, and approximate the
probability distribution of states taken on by this network. Despite the
intuition that the rules of English spelling are highly combinatorial (and
arbitrary), we find that maximum entropy models consistent with pairwise
correlations among letters provide a surprisingly good approximation to the
full statistics of four letter words, capturing ~92% of the multi-information
among letters and even "discovering" real words that were not represented in
the data from which the pairwise correlations were estimated. The maximum
entropy model defines an energy landscape on the space of possible words, and
local minima in this landscape account for nearly two-thirds of words used in
written English.
|
2025-02-13
| 2,025
|
we consid word as a network of interact letter and approxim the probabl distribut of state taken on by thi network despit the intuit that the rule of english spell are highli combinatori and arbitrari we find that maximum entropi model consist with pairwis correl among letter provid a surprisingli good approxim to the full statist of four letter word captur of the multi inform among letter and even discov real word that were not repres in the data from which the pairwis correl were estim the maximum entropi model defin an energi landscap on the space of possibl word and local minima in thi landscap account for nearli two third of word use in written english
|
30
|
Alan Kostelecky and Neil Russell
|
Data Tables for Lorentz and CPT Violation
|
This work tabulates measured and derived values of coefficients for Lorentz
and CPT violation in the Standard-Model Extension. Summary tables are extracted
listing maximal attained sensitivities in the matter, photon, neutrino, and
gravity sectors. Tables presenting definitions and properties are also
compiled.
|
2025-01-14
| 2,025
|
thi work tabul measur and deriv valu of coeffici for lorentz and cpt violat in the standard model extens summari tabl are extract list maxim attain sensit in the matter photon neutrino and graviti sector tabl present definit and properti are also compil
|
31
|
Irina Kmit
|
Classical solvability of nonlinear initial-boundary problems for first-order hyperbolic systems
|
We prove the global classical solvability of initial-boundary problems for semilinear first-order hyperbolic systems subjected to local and nonlocal nonlinear boundary conditions. We also establish lower bounds for the order of nonlinearity demarkating a frontier between regular cases (classical solvability) and singular cases (blow-up of solutions).
|
2025-12-10
| 2,025
|
we prove the global classic solvabl of initi boundari problem for semilinear first order hyperbol system subject to local and nonloc nonlinear boundari condit we also establish lower bound for the order of nonlinear demark a frontier between regular case classic solvabl and singular case blow up of solut
|
32
|
L. D. Marks and D. R. Luke
|
Robust Mixing for Ab-Initio Quantum Mechanical Calculations
|
We study the general problem of mixing for ab-initio quantum-mechanical problems. Guided by general mathematical principles and the underlying physics, we propose a multisecant form of Broydens second method for solving the self-consistent field equations of Kohn-Sham density functional theory. The algorithm is robust, requires relatively little finetuning and appears to outperform the current state of the art, converging for cases that defeat many other methods. We compare our technique to the conventional methods for problems ranging from simple to nearly pathological.
|
2025-06-05
| 2,025
|
we studi the gener problem of mix for ab initio quantum mechan problem guid by gener mathemat principl and the underli physic we propos a multisec form of broyden second method for solv the self consist field equat of kohn sham densiti function theori the algorithm is robust requir rel littl finetun and appear to outperform the current state of the art converg for case that defeat mani other method we compar our techniqu to the convent method for problem rang from simpl to nearli patholog
|
33
|
Irina Kmit
|
On the Fredholm Solvability for a Class of Multidimensional Hyperbolic Problems
|
We prove the Fredholm alternative for a class of two-dimensional first-order hyperbolic systems with periodic-Dirichlet boundary conditions. Our approach is based on a regularization via a right parametrix.
|
2025-12-10
| 2,025
|
we prove the fredholm altern for a class of two dimension first order hyperbol system with period dirichlet boundari condit our approach is base on a regular via a right parametrix
|
34
|
Derong Qiu
|
On Some Diophantine Parameters of the Cyclic Torsion Subgroups of Odd Order of Elliptic Curves over $\mathbb{Q}$
|
In this paper, we give some explicit Diophantine parameters of the cyclic torsion subgroups of odd order of elliptic curves over $\mathbb{Q}$.
|
2025-08-26
| 2,025
|
in thi paper we give some explicit diophantin paramet of the cyclic torsion subgroup of odd order of ellipt curv over mathbb q
|
35
|
Fabrizio Catanese and Frederic Mangolte
|
Real singular Del Pezzo surfaces and 3-folds fibred by rational curves, II
|
Let W -> X be a real smooth projective 3-fold fibred by rational curves. J. Koll\'ar proved that, if W(R) is orientable, then a connected component N of W(R) is essentially either a Seifert fibred manifold or a connected sum of lens spaces. Our Main Theorem, answering in the affirmative three questions of Koll\'ar, gives sharp estimates on the number and the multiplicities of the Seifert fibres and on the number and the torsions of the lens spaces when X is a geometrically rational surface. When N is Seifert fibred over a base orbifold F, our result generalizes Comessatti's theorem on smooth real rational surfaces: F cannot be simultaneously orientable and of hyperbolic type. We show as a surprise that, unlike in Comessatti's theorem, there are examples where F is non orientable, of hyperbolic type, and X is minimal. The technique we use is to construct Seifert fibrations as projectivized tangent bundles of Du Val surfaces.
|
2025-05-26
| 2,025
|
let w x be a real smooth project fold fibr by ration curv j koll ar prove that if w r is orient then a connect compon n of w r is essenti either a seifert fibr manifold or a connect sum of len space our main theorem answer in the affirm three question of koll ar give sharp estim on the number and the multipl of the seifert fibr and on the number and the torsion of the len space when x is a geometr ration surfac when n is seifert fibr over a base orbifold f our result gener comessatti s theorem on smooth real ration surfac f cannot be simultan orient and of hyperbol type we show as a surpris that unlik in comessatti s theorem there are exampl where f is non orient of hyperbol type and x is minim the techniqu we use is to construct seifert fibrat as projectiv tangent bundl of du val surfac
|
36
|
Matthew Perlmutter, Miguel Rodriguez-Olmos
|
On Singular Poisson Sternberg Spaces
|
We obtain a theory of stratified Sternberg spaces thereby extending the
theory of cotangent bundle reduction for free actions to the singular case
where the action on the base manifold consists of only one orbit type. We find
that the symplectic reduced spaces are stratified topological fiber bundles
over the cotangent bundle of the orbit space. We also obtain a Poisson
stratification of the Sternberg space. To construct the singular Poisson
Sternberg space we develop an appropriate theory of singular connections for
proper group actions on a single orbit type manifold including a theory of
holonomy extending the usual Ambrose-Singer theorem for principal bundles.
|
2025-01-23
| 2,025
|
we obtain a theori of stratifi sternberg space therebi extend the theori of cotang bundl reduct for free action to the singular case where the action on the base manifold consist of onli one orbit type we find that the symplect reduc space are stratifi topolog fiber bundl over the cotang bundl of the orbit space we also obtain a poisson stratif of the sternberg space to construct the singular poisson sternberg space we develop an appropri theori of singular connect for proper group action on a singl orbit type manifold includ a theori of holonomi extend the usual ambros singer theorem for princip bundl
|
37
|
Igor Kondrashuk and Anatoly Kotikov
|
Triangle UD integrals in the position space
|
We investigate triangle UD ladder integrals in the position space. The investigation is necessary to find an all-order in loop solution for an auxiliary Lcc correlator in Wess-Zumino-Landau gauge of the maximally supersymmetric Yang-Mills theory and to present correlators of dressed mean gluons in terms of it in all loops. We show that triangle UD ladder diagrams in the position space can be expressed in terms of the same UD functions Phi^(L) in terms of which they were represented in the momentum space, for an arbitrary number of rungs.
|
2025-09-05
| 2,025
|
we investig triangl ud ladder integr in the posit space the investig is necessari to find an all order in loop solut for an auxiliari lcc correl in wess zumino landau gaug of the maxim supersymmetr yang mill theori and to present correl of dress mean gluon in term of it in all loop we show that triangl ud ladder diagram in the posit space can be express in term of the same ud function phi l in term of which they were repres in the momentum space for an arbitrari number of rung
|
38
|
Mikhail Khovanov and Aaron D. Lauda
|
A diagrammatic approach to categorification of quantum groups I
|
To each graph without loops and multiple edges we assign a family of rings.
Categories of projective modules over these rings categorify
$U^-_q(\mathfrak{g})$, where $\mathfrak{g}$ is the Kac-Moody Lie algebra
associated with the graph.
|
2025-01-23
| 2,025
|
to each graph without loop and multipl edg we assign a famili of ring categori of project modul over these ring categorifi u q mathfrak g where mathfrak g is the kac moodi lie algebra associ with the graph
|
39
|
Fawei Zheng, Gang Zhou, Zhirong Liu, Jian Wu, Wenhui Duan, Bing-Lin Gu, and S. B. Zhang
|
Prediction of Half Metallicity along the Edge of Boron Nitride Zigzag Nanoribbons
|
First-principles calculations reveal half metallicity in zigzag boron nitride (BN) nanoribbons (ZBNNRs). When the B edge, but not the N edge, of the ZBNNR is passivated, despite being a pure $sp$-electron system, the ribbon shows a giant spin splitting. The electrons at the Fermi level are 100% spin polarized with a half-metal gap of 0.38 eV and its conductivity is dominated by metallic single-spin states. The two states across at the Dirac point have different molecular origins, which signals a switch of carrier velocity. The ZBNNR should be a good potential candidate for widegap spintronics.
|
2025-09-10
| 2,025
|
first principl calcul reveal half metal in zigzag boron nitrid bn nanoribbon zbnnr when the b edg but not the n edg of the zbnnr is passiv despit be a pure sp electron system the ribbon show a giant spin split the electron at the fermi level are spin polar with a half metal gap of ev and it conduct is domin by metal singl spin state the two state across at the dirac point have differ molecular origin which signal a switch of carrier veloc the zbnnr should be a good potenti candid for widegap spintron
|
40
|
Mireille Bousquet-M\'elou (LaBRI)
|
Families of prudent self-avoiding walks
|
A self-avoiding walk (SAW) on the square lattice is prudent if it never takes a step towards a vertex it has already visited. Prudent walks differ from most classes of SAW that have been counted so far in that they can wind around their starting point. Their enumeration was first addressed by Pr\'ea in 1997. He defined 4 classes of prudent walks, of increasing generality, and wrote a system of recurrence relations for each of them . However, these relations involve more and more parameters as the generality of the class increases. The first class actually consists of partially directed walks, and its generating function is well-known to be rational. The second class was proved to have an algebraic (quadratic) generating function by Duchi (2005). Here, we solve exactly the third class, which turns out to be much more complex: its generating function is not algebraic, nor even D-finite. The fourth class -- general prudent walks -- is the only isotropic one, and still defeats us. However, we design an isotropic family of prudent walks on the triangular lattice, which we count exactly. Again, the generating function is proved to be non-D-finite. We also study the asymptotic properties of these classes of walks, with the (somewhat disappointing) conclusion that their endpoint moves away from the origin at a positive speed. This is confirmed visually by the random generation procedures we have designed.
|
2025-09-26
| 2,025
|
a self avoid walk saw on the squar lattic is prudent if it never take a step toward a vertex it ha alreadi visit prudent walk differ from most class of saw that have been count so far in that they can wind around their start point their enumer wa first address by pr ea in he defin class of prudent walk of increas gener and wrote a system of recurr relat for each of them howev these relat involv more and more paramet as the gener of the class increas the first class actual consist of partial direct walk and it gener function is well known to be ration the second class wa prove to have an algebra quadrat gener function by duchi here we solv exactli the third class which turn out to be much more complex it gener function is not algebra nor even d finit the fourth class gener prudent walk is the onli isotrop one and still defeat us howev we design an isotrop famili of prudent walk on the triangular lattic which we count exactli again the gener function is prove to be non d finit we also studi the asymptot properti of these class of walk with the somewhat disappoint conclus that their endpoint move away from the origin at a posit speed thi is confirm visual by the random gener procedur we have design
|
41
|
Mireille Bousquet-M\'elou (LaBRI)
|
Rational and algebraic series in combinatorial enumeration
|
Let A be a class of objects, equipped with an integer size such that for all n the number a(n) of objects of size n is finite. We are interested in the case where the generating fucntion sum_n a(n) t^n is rational, or more generally algebraic. This property has a practical interest, since one can usually say a lot on the numbers a(n), but also a combinatorial one: the rational or algebraic nature of the generating function suggests that the objects have a (possibly hidden) structure, similar to the linear structure of words in the rational case, and to the branching structure of trees in the algebraic case. We describe and illustrate this combinatorial intuition, and discuss its validity. While it seems to be satisfactory in the rational case, it is probably incomplete in the algebraic one. We conclude with open questions.
|
2025-09-26
| 2,025
|
let a be a class of object equip with an integ size such that for all n the number a n of object of size n is finit we are interest in the case where the gener fucntion sum n a n t n is ration or more gener algebra thi properti ha a practic interest sinc one can usual say a lot on the number a n but also a combinatori one the ration or algebra natur of the gener function suggest that the object have a possibl hidden structur similar to the linear structur of word in the ration case and to the branch structur of tree in the algebra case we describ and illustr thi combinatori intuit and discuss it valid while it seem to be satisfactori in the ration case it is probabl incomplet in the algebra one we conclud with open question
|
42
|
Miklos Bona
|
On Two Related Questions of Wilf Concerning Standard Young Tableaux
|
We consider two questions of Wilf related to Standard Young Tableaux. We
provide a partial answer to one question, and that will lead us to a more
general answer to the other question. Our answers are purely combinatorial.
|
2025-04-30
| 2,025
|
we consid two question of wilf relat to standard young tableaux we provid a partial answer to one question and that will lead us to a more gener answer to the other question our answer are pure combinatori
|
43
|
A.E. Brouwer and W.H. Haemers
|
Algebraic Graph Theory (a short course for postgraduate students and researchers)
|
This submission has been withdrawn by arXiv administration.
|
2025-07-10
| 2,025
|
thi submiss ha been withdrawn by arxiv administr
|
44
|
Michael Frank, Kamran Sharifi
|
Generalized inverses and polar decomposition of unbounded regular
operators on Hilbert $C^*$-modules
|
In this note we show that an unbounded regular operator $t$ on Hilbert
$C^*$-modules over an arbitrary $C^*$ algebra $ \mathcal{A}$ has polar
decomposition if and only if the closures of the ranges of $t$ and $|t|$ are
orthogonally complemented, if and only if the operators $t$ and $t^*$ have
unbounded regular generalized inverses. For a given $C^*$-algebra $
\mathcal{A}$ any densely defined $\mathcal A$-linear closed operator $t$
between Hilbert $C^*$-modules has polar decomposition, if and only if any
densely defined $\mathcal A$-linear closed operator $t$ between Hilbert
$C^*$-modules has generalized inverse, if and only if $\mathcal A$ is a
$C^*$-algebra of compact operators.
|
2025-04-29
| 2,025
|
in thi note we show that an unbound regular oper t on hilbert c modul over an arbitrari c algebra mathcal a ha polar decomposit if and onli if the closur of the rang of t and t are orthogon complement if and onli if the oper t and t have unbound regular gener invers for a given c algebra mathcal a ani dens defin mathcal a linear close oper t between hilbert c modul ha polar decomposit if and onli if ani dens defin mathcal a linear close oper t between hilbert c modul ha gener invers if and onli if mathcal a is a c algebra of compact oper
|
45
|
Mireille Bousquet-M\'elou, Anders Claesson, Mark Dukes and Sergey Kitaev
|
(2+2)-free posets, ascent sequences and pattern avoiding permutations
|
We present bijections between four classes of combinatorial objects. Two of them, the class of unlabeled (2+2)-free posets and a certain class of involutions (or chord diagrams), already appeared in the literature, but were apparently not known to be equinumerous. We present a direct bijection between them. The third class is a family of permutations defined in terms of a new type of pattern. An attractive property of these patterns is that, like classical patterns, they are closed under the action of $D_8$, the symmetry group of the square. The fourth class is formed by certain integer sequences, called ascent sequences, which have a simple recursive structure and are shown to encode (2+2)-free posets and permutations. Our bijections preserve numerous statistics.
We determine the generating function of these classes of objects, thus recovering a non-D-finite series obtained by Zagier for the class of chord diagrams. Finally, we characterize the ascent sequences that correspond to permutations avoiding the barred pattern $3{\bar 1}52{\bar 4}$ and use this to enumerate those permutations, thereby settling a conjecture of Pudwell.
|
2025-09-26
| 2,025
|
we present biject between four class of combinatori object two of them the class of unlabel free poset and a certain class of involut or chord diagram alreadi appear in the literatur but were appar not known to be equinumer we present a direct biject between them the third class is a famili of permut defin in term of a new type of pattern an attract properti of these pattern is that like classic pattern they are close under the action of d the symmetri group of the squar the fourth class is form by certain integ sequenc call ascent sequenc which have a simpl recurs structur and are shown to encod free poset and permut our biject preserv numer statist we determin the gener function of these class of object thu recov a non d finit seri obtain by zagier for the class of chord diagram final we character the ascent sequenc that correspond to permut avoid the bar pattern bar bar and use thi to enumer those permut therebi settl a conjectur of pudwel
|
46
|
Andreea C. Nicoara
|
The Kohn Algorithm on Denjoy-Carleman Classes
|
The equivalence of the Kohn finite ideal type and the D'Angelo finite type with the subellipticity of the $\bar\partial$-Neumann problem is extended to pseudoconvex domains in $C^n$ whose defining function is in a Denjoy-Carleman quasianalytic class closed under differentiation. The proof involves algebraic geometry over a ring of germs of Denjoy-Carleman quasianalytic functions that is not known to be Noetherian and that is intermediate between the ring of germs of real-analytic functions and the ring of germs of smooth functions. It is also shown that this type of ring of germs of Denjoy-Carleman functions satisfies the $\sqrt{acc}$ property, one of the strongest properties a non-Noetherian ring could possess.
|
2025-11-11
| 2,025
|
the equival of the kohn finit ideal type and the d angelo finit type with the subellipt of the bar partial neumann problem is extend to pseudoconvex domain in c n whose defin function is in a denjoy carleman quasianalyt class close under differenti the proof involv algebra geometri over a ring of germ of denjoy carleman quasianalyt function that is not known to be noetherian and that is intermedi between the ring of germ of real analyt function and the ring of germ of smooth function it is also shown that thi type of ring of germ of denjoy carleman function satisfi the sqrt acc properti one of the strongest properti a non noetherian ring could possess
|
47
|
L.T. Vuong, A.J.L. Adam, J.M. Brok, M. A. Seo, D. S. Kim, P.C.M. Planken, H.P. Urbach
|
Electromagnetic Spin-Orbit Interactions via Scattering
|
The longitudinal components of orthogonal-circularly polarized fields carry a phase singularity that changes sign depending on the polarization handedness. The addition of orbital angular momentum adds to or cancels this singularity and results in polarization-dependent scattering through round and square apertures, which we demonstrate analytically, numerically, and experimentally. By preparing the incident polarization and arranging the configuration of sub-wavelength apertures, we produce shadow-side scattered fields with arbitrary phase vorticity.
|
2025-07-01
| 2,025
|
the longitudin compon of orthogon circularli polar field carri a phase singular that chang sign depend on the polar handed the addit of orbit angular momentum add to or cancel thi singular and result in polar depend scatter through round and squar apertur which we demonstr analyt numer and experiment by prepar the incid polar and arrang the configur of sub wavelength apertur we produc shadow side scatter field with arbitrari phase vortic
|
48
|
Xian-Jin Li
|
A proof of the Riemann hypothesis
|
In this paper we study traces of an integral operator on two orthogonal subspaces of a $L^2$ space. One of the two traces is shown to be zero. Also, we prove that the trace of the operator on the second subspace is nonnegative. Hence, the operator has a nonnegative trace on the $L^2$ space. This implies the positivity of Li's criterion. By Li's criterion, all nontrivial zeros of the Riemann zeta-function lie on the critical line.
|
2025-10-14
| 2,025
|
in thi paper we studi trace of an integr oper on two orthogon subspac of a l space one of the two trace is shown to be zero also we prove that the trace of the oper on the second subspac is nonneg henc the oper ha a nonneg trace on the l space thi impli the posit of li s criterion by li s criterion all nontrivi zero of the riemann zeta function lie on the critic line
|
49
|
E. Lopez Sandoval
|
Static Universe: Infinite, Eternal and Self-Sustainable
|
In this paper, we present a "stellar dynamics" model of an infinite Universe, where matter distribution follows an inverse proportionality squared relationship with respect to the distance from the rotation center of galaxy clusters and superclusters (which share a common rotation center). We assume the Universe has infinite similar centers in terms of structure and dynamic equilibrium. We consider stars in galaxies to be homogeneously distributed with spherical symmetry and average radius, and the same applies to galaxies in the Universe. We study the smoothed potential of this universe and examine the effect of gravity on starlight: by applying the equivalence principle, we derive a mathematical expression for Hubble's law and a formula for its redshift, potentially explaining this phenomenon as a gravitational effect. We also provide an approximate calculation of Cosmic Background Radiation (CBR), assuming this radiation is the light from all the universe's stars reaching us with an extreme redshift caused by gravity. theory, postulating in consequence a new theory about the structure of the Universe: static, infinite, eternal and self-sustainable.
|
2025-07-10
| 2,025
|
in thi paper we present a stellar dynam model of an infinit univers where matter distribut follow an invers proportion squar relationship with respect to the distanc from the rotat center of galaxi cluster and superclust which share a common rotat center we assum the univers ha infinit similar center in term of structur and dynam equilibrium we consid star in galaxi to be homogen distribut with spheric symmetri and averag radiu and the same appli to galaxi in the univers we studi the smooth potenti of thi univers and examin the effect of graviti on starlight by appli the equival principl we deriv a mathemat express for hubbl s law and a formula for it redshift potenti explain thi phenomenon as a gravit effect we also provid an approxim calcul of cosmic background radiat cbr assum thi radiat is the light from all the univers s star reach us with an extrem redshift caus by graviti theori postul in consequ a new theori about the structur of the univers static infinit etern and self sustain
|
50
|
Stefan Schwede
|
Algebraic versus topological triangulated categories
|
The most commonly known triangulated categories arise from chain complexes in an abelian category by passing to chain homotopy classes or inverting quasi-isomorphisms. Such examples are called `algebraic' because they originate from abelian (or at least additive) categories. Stable homotopy theory produces examples of triangulated categories by quite different means, and in this context the source categories are usually very `non-additive' before passing to homotopy classes of morphisms. Because of their origin I refer to these examples as `topological triangulated categories'.
In these extended talk notes I explain some systematic differences between these two kinds of triangulated categories. There are certain properties -- defined entirely in terms of the triangulated structure -- which hold in all algebraic examples, but which fail in some topological ones. These differences are all torsion phenomena, and rationally there is no difference between algebraic and topological triangulated categories.
|
2025-11-05
| 2,025
|
the most commonli known triangul categori aris from chain complex in an abelian categori by pass to chain homotopi class or invert quasi isomorph such exampl are call algebra becaus they origin from abelian or at least addit categori stabl homotopi theori produc exampl of triangul categori by quit differ mean and in thi context the sourc categori are usual veri non addit befor pass to homotopi class of morphism becaus of their origin i refer to these exampl as topolog triangul categori in these extend talk note i explain some systemat differ between these two kind of triangul categori there are certain properti defin entir in term of the triangul structur which hold in all algebra exampl but which fail in some topolog one these differ are all torsion phenomena and ration there is no differ between algebra and topolog triangul categori
|
51
|
Brendan Guilfoyle and Wilhelm Klingenberg
|
Proof of the Caratheodory Conjecture
|
A well-known conjecture of Caratheodory states that the number of umbilic
points on a closed convex surface in ${\mathbb E}^3$ must be greater than one.
In this paper we prove this for $C^{3+\alpha}$-smooth surfaces. The Conjecture
is first reformulated in terms of complex points on a Lagrangian surface in
$TS^2$, viewed as the space of oriented geodesics in ${\mathbb E}^3$. Here
complex and Lagrangian refer to the canonical neutral Kaehler structure on
$TS^2$. We then prove that the existence of a closed convex surface with only
one umbilic point implies the existence of a totally real Lagrangian hemisphere
in $TS^2$, to which it is not possible to attach the edge of a holomorphic
disc. The main step in the proof is to establish the existence of a holomorphic
disc with edge contained on any given totally real Lagrangian hemisphere. To
construct the holomorphic disc we utilize mean curvature flow with respect to
the neutral metric. Long-time existence of this flow is proven by a priori
estimates and we show that the flowing disc is asymptotically holomorphic.
Existence of a holomorphic disc is then deduced from Schauder estimates.
|
2025-01-20
| 2,025
|
a well known conjectur of caratheodori state that the number of umbil point on a close convex surfac in mathbb e must be greater than one in thi paper we prove thi for c alpha smooth surfac the conjectur is first reformul in term of complex point on a lagrangian surfac in ts view as the space of orient geodes in mathbb e here complex and lagrangian refer to the canon neutral kaehler structur on ts we then prove that the exist of a close convex surfac with onli one umbil point impli the exist of a total real lagrangian hemispher in ts to which it is not possibl to attach the edg of a holomorph disc the main step in the proof is to establish the exist of a holomorph disc with edg contain on ani given total real lagrangian hemispher to construct the holomorph disc we util mean curvatur flow with respect to the neutral metric long time exist of thi flow is proven by a priori estim and we show that the flow disc is asymptot holomorph exist of a holomorph disc is then deduc from schauder estim
|
52
|
Mikhail Skopenkov
|
Embedding products of graphs into Euclidean spaces
|
For any collection of graphs we find the minimal dimension d such that the product of these graphs is embeddable into the d-dimensional Euclidean space. In particular, we prove that the n-th powers of the Kuratowsky graphs are not embeddable into the 2n-dimensional Euclidean space. This is a solution of a problem of Menger from 1929. The idea of the proof is the reduction to a problem from so-called Ramsey link theory: we show that any embedding of L into the (2n-1)-dimensional sphere, where L is the join of n copies of a 4-point set, has a pair of linked (n-1)-dimensional spheres.
|
2025-07-18
| 2,025
|
for ani collect of graph we find the minim dimens d such that the product of these graph is embedd into the d dimension euclidean space in particular we prove that the n th power of the kuratowski graph are not embedd into the n dimension euclidean space thi is a solut of a problem of menger from the idea of the proof is the reduct to a problem from so call ramsey link theori we show that ani embed of l into the n dimension sphere where l is the join of n copi of a point set ha a pair of link n dimension sphere
|
53
|
S. Ferrara, A. Marrani
|
Symmetric Spaces in Supergravity
|
We exploit the relation among irreducible Riemannian globally symmetric
spaces (IRGS) and supergravity theories in 3, 4 and 5 space-time dimensions.
IRGS appear as scalar manifolds of the theories, as well as moduli spaces of
the various classes of solutions to the classical extremal black hole Attractor
Equations. Relations with Jordan algebras of degree three and four are also
outlined.
|
2025-02-06
| 2,025
|
we exploit the relat among irreduc riemannian global symmetr space irg and supergrav theori in and space time dimens irg appear as scalar manifold of the theori as well as moduli space of the variou class of solut to the classic extrem black hole attractor equat relat with jordan algebra of degre three and four are also outlin
|
54
|
Zosia A. C. Krusberg
|
Physics education research: Resources for graduate student instructors
|
This resource letter intends to provide physics instructors - particularly graduate student teaching assistants - at the introductory university level with a small but representative collection of resources to acquire a familiarity with research in physics education for guidance in everyday instruction. The resources are in the form of books, articles, websites, journals, and organizations.
|
2025-05-29
| 2,025
|
thi resourc letter intend to provid physic instructor particularli graduat student teach assist at the introductori univers level with a small but repres collect of resourc to acquir a familiar with research in physic educ for guidanc in everyday instruct the resourc are in the form of book articl websit journal and organ
|
55
|
Yale Fan
|
Applications of Multi-Valued Quantum Algorithms
|
This paper generalizes both the binary Deutsch-Jozsa and Grover algorithms to
$n$-valued logic using the quantum Fourier transform. Our extended
Deutsch-Jozsa algorithm is not only able to distinguish between constant and
balanced Boolean functions in a single query, but can also find closed
expressions for classes of affine logical functions in quantum oracles,
accurate to a constant term. Furthermore, our multi-valued extension of the
Grover algorithm for quantum database search requires fewer qudits and hence a
substantially smaller memory register, as well as fewer wasted information
states, to implement. We note several applications of these algorithms and
their advantages over the binary cases.
|
2025-02-18
| 2,025
|
thi paper gener both the binari deutsch jozsa and grover algorithm to n valu logic use the quantum fourier transform our extend deutsch jozsa algorithm is not onli abl to distinguish between constant and balanc boolean function in a singl queri but can also find close express for class of affin logic function in quantum oracl accur to a constant term furthermor our multi valu extens of the grover algorithm for quantum databas search requir fewer qudit and henc a substanti smaller memori regist as well as fewer wast inform state to implement we note sever applic of these algorithm and their advantag over the binari case
|
56
|
Andrzej Karbowski
|
Amdahl's and Gustafson-Barsis laws revisited
|
The paper presents a simple derivation of the Gustafson-Barsis law from the Amdahl's law. In the computer literature these two laws describing the speedup limits of parallel applications are derived separately. It is shown, that treating the time of the execution of the sequential part of the application as a constant, in few lines the Gustafson-Barsis law can be obtained from the Amdahl's law and that the popular claim, that Gustafson-Barsis law overthrows Amdahl's law is a mistake.
|
2025-12-12
| 2,025
|
the paper present a simpl deriv of the gustafson barsi law from the amdahl s law in the comput literatur these two law describ the speedup limit of parallel applic are deriv separ it is shown that treat the time of the execut of the sequenti part of the applic as a constant in few line the gustafson barsi law can be obtain from the amdahl s law and that the popular claim that gustafson barsi law overthrow amdahl s law is a mistak
|
57
|
Alexander Perepechko
|
Affine algebraic monoids as endomorphisms' monoids of finite-dimensional
algebras
|
In this note we prove that any affine algebraic monoid can be obtained as the
endomorphisms' monoid of a finite-dimensional (nonassociative) algebra.
|
2025-03-06
| 2,025
|
in thi note we prove that ani affin algebra monoid can be obtain as the endomorph monoid of a finit dimension nonassoci algebra
|
58
|
J. Ciston, A. Subramanian, L. D. Marks
|
Hydroxylated MgO (111) reconstructions: why the case for clean surfaces does not hold water
|
We report an experimental and theoretical analysis of the root(3)xroot(3)-R30 and 2x2 reconstructions on the MgO (111) surface combining transmission electron microscopy, x-ray photoelectron spectroscopy, and reasonably accurate density functional calculations using the meta-GGA functional TPSS. The experimental data clearly shows that the surfaces contain significant coverages of hydroxyl terminations, even after UHV annealing, and as such cannot be the structures which have been previously reported. For the 2x2 surfaces a relatively simple structural framework is detailed which fits all the experimental and theoretical data. For the root(3)xroot(3) there turn out to be two plausible structures and neither the experimental nor theoretical results can differentiate between the two within error. However, by examining the conditions under which the surface is formed we describe a kinetic route for the transformation between the different reconstructions that involves mobile hydroxyl groups and protons, and relatively immobile cations, which strongly suggests only one of the two root(3)xroot(3) structures.
|
2025-09-22
| 2,025
|
we report an experiment and theoret analysi of the root xroot r and x reconstruct on the mgo surfac combin transmiss electron microscopi x ray photoelectron spectroscopi and reason accur densiti function calcul use the meta gga function tpss the experiment data clearli show that the surfac contain signific coverag of hydroxyl termin even after uhv anneal and as such cannot be the structur which have been previous report for the x surfac a rel simpl structur framework is detail which fit all the experiment and theoret data for the root xroot there turn out to be two plausibl structur and neither the experiment nor theoret result can differenti between the two within error howev by examin the condit under which the surfac is form we describ a kinet rout for the transform between the differ reconstruct that involv mobil hydroxyl group and proton and rel immobil cation which strongli suggest onli one of the two root xroot structur
|
59
|
Cyril Houdayer
|
Free Araki-Woods factors and Connes' bicentralizer problem
|
We show that for any free Araki-Woods factor $\mathcal{M} = \Gamma(H_\R, U_t)"$ of type ${\rm III_1}$, the bicentralizer of the free quasi-free state $\varphi_U$ is trivial. Using Haagerup's Theorem, it follows that there always exists a faithful normal state $\psi$ on $\mathcal{M}$ such that $(\mathcal{M}^\psi)' \cap \mathcal{M} = \C$.
|
2025-07-17
| 2,025
|
we show that for ani free araki wood factor mathcal m gamma h r u t of type rm iii the bicentr of the free quasi free state varphi u is trivial use haagerup s theorem it follow that there alway exist a faith normal state psi on mathcal m such that mathcal m psi cap mathcal m c
|
60
|
S.V. Goloskokov and P. Kroll
|
The target asymmetry in hard vector-meson electroproduction and parton
angular momenta
|
The target asymmetry for electroproduction of vector mesons is investigated
within the handbag approach. While the generalized parton distribution (GPD) H
is taken from a previous analysis of the elctroproduction cross section, we
here construct the GPD E from double distributions and constrain it by the
Pauli form factors of the nucleon, positivity bounds and sum rules. Predictions
for the target asymmetry are given for various vector mesons and discussed how
experimental data on the asymmetry will further constrain E and what we may
learn about the angular momenta the partons carry.
|
2025-01-22
| 2,025
|
the target asymmetri for electroproduct of vector meson is investig within the handbag approach while the gener parton distribut gpd h is taken from a previou analysi of the elctroproduct cross section we here construct the gpd e from doubl distribut and constrain it by the pauli form factor of the nucleon posit bound and sum rule predict for the target asymmetri are given for variou vector meson and discuss how experiment data on the asymmetri will further constrain e and what we may learn about the angular momenta the parton carri
|
61
|
Martijn Kool
|
Fixed point loci of moduli spaces of sheaves on toric varieties
|
Extending work of Klyachko and Perling, we develop a combinatorial description of pure equivariant sheaves of any dimension on an arbitrary nonsingular toric variety $X$. Using geometric invariant theory (GIT), this allows us to construct explicit moduli spaces of pure equivariant sheaves on $X$ corepresenting natural moduli functors (similar to work of Payne in the case of equivariant vector bundles). The action of the algebraic torus on $X$ lifts to the moduli space of all Gieseker stable sheaves on $X$ and we express its fixed point locus explicitly in terms of moduli spaces of pure equivariant sheaves on $X$. One of the problems arising is to find an equivariant line bundle on the side of the GIT problem, which precisely recovers Gieseker stability. In the case of torsion free equivariant sheaves, we can always construct such equivariant line bundles. As a by-product, we get a combinatorial description of the fixed point locus of the moduli space of $\mu$-stable reflexive sheaves on $X$. As an application, we show in a sequel how these methods can be used to compute generating functions of Euler characteristics of moduli spaces of $\mu$-stable torsion free sheaves on nonsingular complete toric surfaces.
|
2025-10-02
| 2,025
|
extend work of klyachko and perl we develop a combinatori descript of pure equivari sheav of ani dimens on an arbitrari nonsingular toric varieti x use geometr invari theori git thi allow us to construct explicit moduli space of pure equivari sheav on x corepres natur moduli functor similar to work of payn in the case of equivari vector bundl the action of the algebra toru on x lift to the moduli space of all giesek stabl sheav on x and we express it fix point locu explicitli in term of moduli space of pure equivari sheav on x one of the problem aris is to find an equivari line bundl on the side of the git problem which precis recov giesek stabil in the case of torsion free equivari sheav we can alway construct such equivari line bundl as a by product we get a combinatori descript of the fix point locu of the moduli space of mu stabl reflex sheav on x as an applic we show in a sequel how these method can be use to comput gener function of euler characterist of moduli space of mu stabl torsion free sheav on nonsingular complet toric surfac
|
62
|
Mireille Bousquet-M\'elou (LaBRI), Marni Mishna
|
Walks with small steps in the quarter plane
|
Let S be a subset of {-1,0,1}^2 not containing (0,0). We address the enumeration of plane lattice walks with steps in S, that start from (0,0) and always remain in the first quadrant. A priori, there are 2^8 problems of this type, but some are trivial. Some others are equivalent to a model of walks confined to a half-plane: such models can be solved systematically using the kernel method, which leads to algebraic generating functions. We focus on the remaining cases, and show that there are 79 inherently different problems to study. To each of them, we associate a group G of birational transformations. We show that this group is finite in exactly 23 cases. We present a unified way of solving 22 of the 23 models associated with a finite group. For each of them, the generating function is found to be D-finite. The 23rd model, known as Gessel's walks, has recently been proved by Bostan et al. to have an algebraic (and hence D-finite) solution. We conjecture that the remaining 56 models, associated with an infinite group, have a non-D-finite generating function. Our approach allows us to recover and refine some known results, and also to obtain new results. For instance, we prove that walks with N, E, W, S, SW and NE steps have an algebraic generating function.
|
2025-09-26
| 2,025
|
let s be a subset of not contain we address the enumer of plane lattic walk with step in s that start from and alway remain in the first quadrant a priori there are problem of thi type but some are trivial some other are equival to a model of walk confin to a half plane such model can be solv systemat use the kernel method which lead to algebra gener function we focu on the remain case and show that there are inher differ problem to studi to each of them we associ a group g of birat transform we show that thi group is finit in exactli case we present a unifi way of solv of the model associ with a finit group for each of them the gener function is found to be d finit the rd model known as gessel s walk ha recent been prove by bostan et al to have an algebra and henc d finit solut we conjectur that the remain model associ with an infinit group have a non d finit gener function our approach allow us to recov and refin some known result and also to obtain new result for instanc we prove that walk with n e w s sw and ne step have an algebra gener function
|
63
|
Amod Agashe
|
The Modular number, Congruence number, and Multiplicity One
|
Let N be a positive integer and let f be a newform of weight 2 on \Gamma_0(N). In earlier joint work with K. Ribet and W. Stein, we introduced the notions of the modular number and the congruence number of the quotient abelian variety A_f of J_0(N) associated to the newform f. These invariants are analogs of the notions of the modular degree and congruence primes respectively associated to elliptic curves. We show that if p is a prime such that every maximal ideal of the Hecke algebra of characteristic p that contains the annihilator ideal of f satisfies multiplicity one, then the modular number and the congruence number have the same p-adic valuation.
|
2025-10-07
| 2,025
|
let n be a posit integ and let f be a newform of weight on gamma n in earlier joint work with k ribet and w stein we introduc the notion of the modular number and the congruenc number of the quotient abelian varieti a f of j n associ to the newform f these invari are analog of the notion of the modular degre and congruenc prime respect associ to ellipt curv we show that if p is a prime such that everi maxim ideal of the heck algebra of characterist p that contain the annihil ideal of f satisfi multipl one then the modular number and the congruenc number have the same p adic valuat
|
64
|
Cyril Houdayer
|
Structural results for free Araki-Woods factors and their continuous cores
|
We show that for any type ${\rm III_1}$ free Araki-Woods factor $\mathcal{M} = \Gamma(H_\R, U_t)"$ associated with an orthogonal representation $(U_t)$ of $\R$ on a separable real Hilbert space $H_\R$, the continuous core $M = \mathcal{M} \rtimes_\sigma \R$ is a semisolid ${\rm II_\infty}$ factor, i.e. for any non-zero finite projection $q \in M$, the ${\rm II_1}$ factor $qMq$ is semisolid. If the representation $(U_t)$ is moreover assumed to be mixing, then we prove that the core $M$ is solid. As an application, we construct an example of a non-amenable solid ${\rm II_1}$ factor $N$ with full fundamental group, i.e. $\mathcal{F}(N) = \R^*_+$, which is not isomorphic to any interpolated free group factor $L(\F_t)$, for $1 < t \leq +\infty$.
|
2025-07-17
| 2,025
|
we show that for ani type rm iii free araki wood factor mathcal m gamma h r u t associ with an orthogon represent u t of r on a separ real hilbert space h r the continu core m mathcal m rtime sigma r is a semisolid rm ii infti factor i e for ani non zero finit project q in m the rm ii factor qmq is semisolid if the represent u t is moreov assum to be mix then we prove that the core m is solid as an applic we construct an exampl of a non amen solid rm ii factor n with full fundament group i e mathcal f n r which is not isomorph to ani interpol free group factor l f t for t leq infti
|
65
|
S.A. Moiseev, and W. Tittel
|
Optical quantum memory with generalized time-reversible atom-light
interactions
|
We examine a quantum memory scheme based on controllable dephasing of atomic
coherence of a non-resonant, inhomogeneously broadened Raman transition. We
show that it generalizes the physical conditions for time-reversible
interaction between light and atomic ensembles from weak to strong fields and
from linear to non-linear interactions. We also develop a unified framework for
different realizations exploiting either controlled reversible inhomogeneous
broadening or atomic frequency combs, and discuss new aspects related to
storage and manipulation of quantum states.
|
2025-02-06
| 2,025
|
we examin a quantum memori scheme base on control dephas of atom coher of a non reson inhomogen broaden raman transit we show that it gener the physic condit for time revers interact between light and atom ensembl from weak to strong field and from linear to non linear interact we also develop a unifi framework for differ realiz exploit either control revers inhomogen broaden or atom frequenc comb and discuss new aspect relat to storag and manipul of quantum state
|
66
|
A.A. Reshetnyak
|
Nonlinear Operator Superalgebras and BFV-BRST Operators for Lagrangian
Description of Mixed-symmetry HS Fields in AdS Spaces
|
We study the properties of nonlinear superalgebras $\mathcal{A}$ and algebras
$\mathcal{A}_b$ arising from a one-to-one correspondence between the sets of
relations that extract AdS-group irreducible representations $D(E_0,s_1,s_2)$
in AdS$_d$-spaces and the sets of operators that form $\mathcal{A}$ and
$\mathcal{A}_b$, respectively, for fermionic, $s_i=n_i+{1/2}$, and bosonic,
$s_i=n_i$, $n_i \in \mathbb{N}_0$, $i=1,2$, HS fields characterized by a Young
tableaux with two rows. We consider a method of constructing the Verma modules
$V_\mathcal{A}$, $V_{\mathcal{A}_b}$ for $\mathcal{A}$, $\mathcal{A}_b$ and
establish a possibility of their Fock-space realizations in terms of formal
power series in oscillator operators which serve to realize an additive
conversion of the above (super)algebra ($\mathcal{A}$) $\mathcal{A}_b$,
containing a set of 2nd-class constraints, into a converted (super)algebra
$\mathcal{A}_{b{}c}$ = $\mathcal{A}_{b}$ + $\mathcal{A}'_b$ ($\mathcal{A}_c$ =
$\mathcal{A}$ + $\mathcal{A}'$), containing a set of 1st-class constraints
only. For the algebra $\mathcal{A}_{b{}c}$, we construct an exact nilpotent
BFV--BRST operator $Q'$ having nonvanishing terms of 3rd degree in the powers
of ghost coordinates and use $Q'$ to construct a gauge-invariant Lagrangian
formulation (LF) for HS fields with a given mass $m$ (energy $E_0(m)$) and
generalized spin $\mathbf{s}$=$(s_1,s_2)$. LFs with off-shell algebraic
constraints are examined as well.
|
2025-03-20
| 2,025
|
we studi the properti of nonlinear superalgebra mathcal a and algebra mathcal a b aris from a one to one correspond between the set of relat that extract ad group irreduc represent d e s s in ad d space and the set of oper that form mathcal a and mathcal a b respect for fermion s i n i and boson s i n i n i in mathbb n i hs field character by a young tableaux with two row we consid a method of construct the verma modul v mathcal a v mathcal a b for mathcal a mathcal a b and establish a possibl of their fock space realiz in term of formal power seri in oscil oper which serv to realiz an addit convers of the abov super algebra mathcal a mathcal a b contain a set of nd class constraint into a convert super algebra mathcal a b c mathcal a b mathcal a b mathcal a c mathcal a mathcal a contain a set of st class constraint onli for the algebra mathcal a b c we construct an exact nilpot bfv brst oper q have nonvanish term of rd degre in the power of ghost coordin and use q to construct a gaug invari lagrangian formul lf for hs field with a given mass m energi e m and gener spin mathbf s s s lf with off shell algebra constraint are examin as well
|
67
|
Yu.V. Andreyev, M.V. Koroteev
|
On chaotic nature of speech signals
|
Various phonemes are considered in terms of nonlinear dynamics. Phase portraits of the signals in the embedded space, correlation dimension estimate and the largest Lyapunov exponent are analyzed. It is shown that the speech signals have comparatively small dimension and the positive largest Lyapunov exponent
|
2025-06-03
| 2,025
|
variou phonem are consid in term of nonlinear dynam phase portrait of the signal in the embed space correl dimens estim and the largest lyapunov expon are analyz it is shown that the speech signal have compar small dimens and the posit largest lyapunov expon
|
68
|
J. Christopher Kops
|
Weak convergence of the periodic multiplicative Selmer algorithm
|
In order to prove weak convergence of the periodic multiplicative Selmer algorithm we ensure that the periodicity matrix is positive and establish a relation between its entries and eigenvalues. Since we can imply that the limit of these relations exist, we arrive at the desired result.
|
2025-11-18
| 2,025
|
in order to prove weak converg of the period multipl selmer algorithm we ensur that the period matrix is posit and establish a relat between it entri and eigenvalu sinc we can impli that the limit of these relat exist we arriv at the desir result
|
69
|
Francesco Bartolucci and Ivonne L. Solis-Trapala
|
Multidimensional latent Markov models in a developmental study of
inhibitory control and attentional flexibility in early childhood
|
We demonstrate the use of a multidimensional extension of the latent Markov
model to analyse data from studies with correlated binary responses in
developmental psychology. In particular, we consider an experiment based on a
battery of tests which was administered to pre-school children, at three time
periods, in order to measure their inhibitory control and attentional
flexibility abilities. Our model represents these abilities by two latent
traits which are associated to each state of a latent Markov chain. The
conditional distribution of the tests outcomes given the latent process depends
on these abilities through a multidimensional two-parameter logistic
parameterisation. We outline an EM algorithm to conduct likelihood inference on
the model parameters; we also focus on likelihood ratio testing of hypotheses
on the dimensionality of the model and on the transition matrices of the latent
process. Through the approach based on the proposed model, we find evidence
that supports that inhibitory control and attentional flexibility can be
conceptualised as distinct constructs. Furthermore, we outline developmental
aspects of participants' performance on these abilities based on inspection of
the estimated transition matrices.
|
2025-01-08
| 2,025
|
we demonstr the use of a multidimension extens of the latent markov model to analys data from studi with correl binari respons in development psycholog in particular we consid an experi base on a batteri of test which wa administ to pre school children at three time period in order to measur their inhibitori control and attent flexibl abil our model repres these abil by two latent trait which are associ to each state of a latent markov chain the condit distribut of the test outcom given the latent process depend on these abil through a multidimension two paramet logist parameteris we outlin an em algorithm to conduct likelihood infer on the model paramet we also focu on likelihood ratio test of hypothes on the dimension of the model and on the transit matric of the latent process through the approach base on the propos model we find evid that support that inhibitori control and attent flexibl can be conceptualis as distinct construct furthermor we outlin development aspect of particip perform on these abil base on inspect of the estim transit matric
|
70
|
Alexey G. Gorinov, Isaac C. Kalinkin
|
Combinatorics of double cosets and fundamental domains for the subgroups of the modular group
|
As noticed by R.~Kulkarni, the conjugacy classes of subgroups of the modular group correspond bijectively to bipartite cuboid graphs. We'll explain how to recover the graph corresponding to a subgroup $G$ of $\mathrm{PSL}_2(\mathbb{Z})$ from the combinatorics of the right action of $\mathrm{PSL}_2(\mathbb{Z})$ on the right cosets $G\setminus\mathrm{PSL}_2(\mathbb{Z})$. This gives a method of constructing nice fundamental domains (which Kulkarni calls "special polygons") for the action of $G$ on the upper half plane.
For the classical congruence subgroups $\Gamma_0(N)$, $\Gamma_1(N)$, $\Gamma(N)$ etc. the number of operations the method requires is the index times something that grows not faster than a polynomial in $\log N$. This is roughly the square root of the number of operations required by the naive procedure. We give algorithms to locate an element of the upper half-plane on the fundamental domain and to write a given element of $G$ as a product of independent generators. We also (re)prove a few related results about the automorphism groups of modular curves. For example, we give a simple proof that the automorphism group of $X(N)$ is $\mathrm{SL}_2(\mathbb{Z}/N)/\{\pm I\}$.
|
2025-05-14
| 2,025
|
as notic by r kulkarni the conjugaci class of subgroup of the modular group correspond biject to bipartit cuboid graph we ll explain how to recov the graph correspond to a subgroup g of mathrm psl mathbb z from the combinator of the right action of mathrm psl mathbb z on the right coset g setminu mathrm psl mathbb z thi give a method of construct nice fundament domain which kulkarni call special polygon for the action of g on the upper half plane for the classic congruenc subgroup gamma n gamma n gamma n etc the number of oper the method requir is the index time someth that grow not faster than a polynomi in log n thi is roughli the squar root of the number of oper requir by the naiv procedur we give algorithm to locat an element of the upper half plane on the fundament domain and to write a given element of g as a product of independ gener we also re prove a few relat result about the automorph group of modular curv for exampl we give a simpl proof that the automorph group of x n is mathrm sl mathbb z n pm i
|
71
|
A. Eriksson, B. Mahjani, and B. Mehlig
|
Sequential Markov coalescent algorithms for population models with demographic structure
|
We analyse sequential Markov coalescent algorithms for populations with demographic structure: for a bottleneck model, a population-divergence model, and for a two-island model with migration. The sequential Markov coalescent method is an approximation to the coalescent suggested by McVean and Cardin, and Marjoram and Wall. Within this algorithm we compute, for two individuals randomly sampled from the population, the correlation between times to the most recent common ancestor and the linkage probability corresponding to two different loci with recombination rate R between them. We find that the sequential Markov coalescent method approximates the coalescent well in general in models with demographic structure. An exception is the case where individuals are sampled from populations separated by reduced gene flow. In this situation, the gene-history correlations may be significantly underestimated. We explain why this is the case.
|
2025-10-01
| 2,025
|
we analys sequenti markov coalesc algorithm for popul with demograph structur for a bottleneck model a popul diverg model and for a two island model with migrat the sequenti markov coalesc method is an approxim to the coalesc suggest by mcvean and cardin and marjoram and wall within thi algorithm we comput for two individu randomli sampl from the popul the correl between time to the most recent common ancestor and the linkag probabl correspond to two differ loci with recombin rate r between them we find that the sequenti markov coalesc method approxim the coalesc well in gener in model with demograph structur an except is the case where individu are sampl from popul separ by reduc gene flow in thi situat the gene histori correl may be significantli underestim we explain whi thi is the case
|
72
|
Laurence D. Marks, Ann N. Chiaramonti, Fabien Tran and Peter Blaha
|
The Small Unit Cell Reconstructions of SrTiO3 (111)
|
We analyze the basic structural units of simple reconstructions of the (111) surface of SrTiO3 using density functional calculations. The prime focus is to answer three questions: what is the most appropriate functional to use; how accurate are the energies; what are the dominant low-energy structures and where do they lie on the surface phase diagram. Using test calculations of representative small molecules we compare conventional GGA with higher-order methods such as the TPSS meta-GGA and on-site hybrid methods PBE0 and TPSSh, the later being the most accurate. There are large effects due to reduction of the metal d oxygen sp hybridization when using the hybrid methods which are equivalent to a dynamical GGA+U, which leads to rather substantial improvements in the atomization energies of simple calibration molecules, even though the d-electron density for titanium compounds is rather small. By comparing the errors of the different methods we are able to generate an estimate of the theoretical error, which is about 0.25eV per 1x1 unit cell, with changes of 0.5-1.0 eV per 1x1 cell with the more accurate method relative to conventional GGA. An analysis of the plausible structures reveals an unusual low-energy TiO2-rich configuration with an unexpected distorted trigonal biprismatic structure. This structure can act as a template for layers of either TiO or Ti2O3, consistent with experimental results as well as, in principle, Magnelli phases. The results also suggest that both the fracture surface and the stoichiometric SrTiO3 (111) surface should spontaneously disproportionate into SrO and TiO2 rich domains, and show that there are still surprises to be found for polar oxide surfaces.
|
2025-09-22
| 2,025
|
we analyz the basic structur unit of simpl reconstruct of the surfac of srtio use densiti function calcul the prime focu is to answer three question what is the most appropri function to use how accur are the energi what are the domin low energi structur and where do they lie on the surfac phase diagram use test calcul of repres small molecul we compar convent gga with higher order method such as the tpss meta gga and on site hybrid method pbe and tpssh the later be the most accur there are larg effect due to reduct of the metal d oxygen sp hybrid when use the hybrid method which are equival to a dynam gga u which lead to rather substanti improv in the atom energi of simpl calibr molecul even though the d electron densiti for titanium compound is rather small by compar the error of the differ method we are abl to gener an estim of the theoret error which is about ev per x unit cell with chang of ev per x cell with the more accur method rel to convent gga an analysi of the plausibl structur reveal an unusu low energi tio rich configur with an unexpect distort trigon biprismat structur thi structur can act as a templat for layer of either tio or ti o consist with experiment result as well as in principl magnelli phase the result also suggest that both the fractur surfac and the stoichiometr srtio surfac should spontan disproportion into sro and tio rich domain and show that there are still surpris to be found for polar oxid surfac
|
73
|
Cyril Houdayer
|
Strongly solid group factors which are not interpolated free group factors
|
We give examples of non-amenable ICC groups $\Gamma$ with the Haagerup property, weakly amenable with constant $\Lambda_{\cb}(\Gamma) = 1$, for which we show that the associated ${\rm II_1}$ factors $L(\Gamma)$ are strongly solid, i.e. the normalizer of any diffuse amenable subalgebra $P \subset L(\Gamma)$ generates an amenable von Neumann algebra. Nevertheless, for these examples of groups $\Gamma$, $L(\Gamma)$ is not isomorphic to any interpolated free group factor $L(\F_t)$, for $1 < t \leq \infty$.
|
2025-07-17
| 2,025
|
we give exampl of non amen icc group gamma with the haagerup properti weakli amen with constant lambda cb gamma for which we show that the associ rm ii factor l gamma are strongli solid i e the normal of ani diffus amen subalgebra p subset l gamma gener an amen von neumann algebra nevertheless for these exampl of group gamma l gamma is not isomorph to ani interpol free group factor l f t for t leq infti
|
74
|
Yale Fan
|
Quantum Simulation of Simple Many-Body Dynamics
|
Quantum computers could potentially simulate the dynamics of systems such as
polyatomic molecules on a much larger scale than classical computers. We
investigate a general quantum computational algorithm that simulates the time
evolution of an arbitrary non-relativistic, Coulombic many-body system in three
dimensions, considering only spatial degrees of freedom. We use a simple
discretized model of Schrodinger evolution and discuss detailed constructions
of the operators necessary to realize the scheme of Wiesner and Zalka. The
algorithm is simulated numerically for small test cases, and its outputs are
found to be in good agreement with analytical solutions.
|
2025-02-18
| 2,025
|
quantum comput could potenti simul the dynam of system such as polyatom molecul on a much larger scale than classic comput we investig a gener quantum comput algorithm that simul the time evolut of an arbitrari non relativist coulomb mani bodi system in three dimens consid onli spatial degre of freedom we use a simpl discret model of schroding evolut and discuss detail construct of the oper necessari to realiz the scheme of wiesner and zalka the algorithm is simul numer for small test case and it output are found to be in good agreement with analyt solut
|
75
|
Valery Alexeev and Rita Pardini
|
Explicit compactifications of moduli spaces of Campedelli and Burniat surfaces
|
We describe explicitly the geometric compactifications, obtained by adding slc surfaces $X$ with ample canonical class, for two connected components in the moduli space of surfaces of general type: Campedelli surfaces with $\pi_1(X)=\mathbb Z_2^3$ and Burniat surfaces with $K^2=6$.
|
2025-05-15
| 2,025
|
we describ explicitli the geometr compactif obtain by ad slc surfac x with ampl canon class for two connect compon in the moduli space of surfac of gener type campedelli surfac with pi x mathbb z and burniat surfac with k
|
76
|
Xing M. Wang
|
From Dirac Notation to Probability Bracket Notation: Time Evolution and
Path Integral under Wick Rotations
|
In this work, we advance the development of the Probability Bracket Notation
(PBN), a formalism inspired by Dirac's notation in quantum mechanics, to
provide a unified framework for probability modeling. We demonstrate that under
a Special Wick Rotation (SWR), an imaginary-time map, the Schr\"odinger
equation, the transition amplitude, and its associated path integral in Dirac
notation transform into the master equation, the transition probability, and
its Euclidean path integral in the PBN, from which we can reproduce the master
equation, representing induced micro-diffusion processes. By extending this
approach through a General Wick Rotation (GWR) and employing an anti-Hermitian
wave-number operator, we perform parallel derivations of path integrals in both
the Dirac and PBN frameworks. This leads to the formulation of the Euclidean
Lagrangian for induced diffusions and the strong-damping harmonic oscillator
(described by the Smoluchowski diffusion equation). Our findings highlight the
versatility of the PBN in bridging quantum mechanics and stochastic processes,
offering a coherent notation system for analyzing time evolution and path
integrals across these domains.
|
2025-05-07
| 2,025
|
in thi work we advanc the develop of the probabl bracket notat pbn a formal inspir by dirac s notat in quantum mechan to provid a unifi framework for probabl model we demonstr that under a special wick rotat swr an imaginari time map the schr oding equat the transit amplitud and it associ path integr in dirac notat transform into the master equat the transit probabl and it euclidean path integr in the pbn from which we can reproduc the master equat repres induc micro diffus process by extend thi approach through a gener wick rotat gwr and employ an anti hermitian wave number oper we perform parallel deriv of path integr in both the dirac and pbn framework thi lead to the formul of the euclidean lagrangian for induc diffus and the strong damp harmon oscil describ by the smoluchowski diffus equat our find highlight the versatil of the pbn in bridg quantum mechan and stochast process offer a coher notat system for analyz time evolut and path integr across these domain
|
77
|
Mikhail Tyaglov
|
On the number of real critical points of logarithmic derivatives and the Hawaii conjecture
|
For a given real entire function $\phi$ with finitely many nonreal zeros, we establish a connection between the number of real zeros of the functions $Q=(\phi'/\phi)'$ and $Q_1=(\phi''/\phi')'$. This connection leads to a proof of the Hawaii conjecture [T.Craven, G.Csordas, and W.Smith, The zeros of derivatives of entire functions and the P\'olya-Wiman conjecture, Ann. of Math. (2) 125 (1987), 405--431] stating that the number of real zeros of $Q$ does not exceed the number of nonreal zeros of $\phi$.
|
2025-07-01
| 2,025
|
for a given real entir function phi with finit mani nonreal zero we establish a connect between the number of real zero of the function q phi phi and q phi phi thi connect lead to a proof of the hawaii conjectur t craven g csorda and w smith the zero of deriv of entir function and the p olya wiman conjectur ann of math state that the number of real zero of q doe not exceed the number of nonreal zero of phi
|
78
|
Simeon Hellerman
|
A Universal Inequality for CFT and Quantum Gravity
|
We prove that every unitary two-dimensional conformal field theory (with no extended chiral algebra, and with central charges $c_L, c_R > 1$) contains a primary operator with dimension $\Delta_1$ that satisfies $0 < \Delta_1 < (c_L + c_R)/12 + 0.473695$. Translated into gravitational language using the AdS_3 /CFT_2 dictionary, our result proves rigorously that the lightest massive excitation in any theory of 3D gravity with cosmological constant $\Lambda < 0$ can be no heavier than $1/(4 G_N) + o(|\Lambda|^(1/2))$. In the flat-space approximation, this limiting mass is twice that of the lightest BTZ black hole. The derivation of the bound applies at finite central charge for the CFT, and does not rely on an asymptotic expansion at large central charge. Neither does our proof rely on any special property of the CFT such as supersymmetry or holomorphic factorization, nor on any bulk interpretation in terms of string theory or semiclassical gravity. Our only assumptions are unitarity and modular invariance of the dual CFT. Our proof demonstrates for the first time that there exists a universal center-of-mass energy beyond which a theory of "pure" quantum gravity can never consistently be extended.
|
2025-06-10
| 2,025
|
we prove that everi unitari two dimension conform field theori with no extend chiral algebra and with central charg c l c r contain a primari oper with dimens delta that satisfi delta c l c r translat into gravit languag use the ad cft dictionari our result prove rigor that the lightest massiv excit in ani theori of d graviti with cosmolog constant lambda can be no heavier than g n o lambda in the flat space approxim thi limit mass is twice that of the lightest btz black hole the deriv of the bound appli at finit central charg for the cft and doe not reli on an asymptot expans at larg central charg neither doe our proof reli on ani special properti of the cft such as supersymmetri or holomorph factor nor on ani bulk interpret in term of string theori or semiclass graviti our onli assumpt are unitar and modular invari of the dual cft our proof demonstr for the first time that there exist a univers center of mass energi beyond which a theori of pure quantum graviti can never consist be extend
|
79
|
Louis E. Labuschagne and Wladyslaw A. Majewski
|
Maps on noncommutative Orlicz spaces
|
A generalization of the Pistone-Sempi argument, demonstrating the utility of
non-commutative Orlicz spaces, is presented. The question of lifting positive
maps defined on von Neumann algebra to maps on corresponding noncommutative
Orlicz spaces is discussed. In particular, we describe those Jordan *-morphisms
on semifinite von Neumann algebras which in a canonical way induce quantum
composition operators on noncommutative Orlicz spaces. Consequently, it is
proved that the framework of noncommutative Orlicz spaces is well suited for an
analysis of large class of interesting noncommutative dynamical systems.
|
2025-03-19
| 2,025
|
a gener of the piston sempi argument demonstr the util of non commut orlicz space is present the question of lift posit map defin on von neumann algebra to map on correspond noncommut orlicz space is discuss in particular we describ those jordan morphism on semifinit von neumann algebra which in a canon way induc quantum composit oper on noncommut orlicz space consequ it is prove that the framework of noncommut orlicz space is well suit for an analysi of larg class of interest noncommut dynam system
|
80
|
A.T.Goritschnig, P.Kroll, W.Schweiger
|
$p\bar{p} \to \Lambda_c \bar{\Lambda}_c$ within a Handbag Picture --
Cross Section and Spin Observables
|
We study the process $p\bar{p} \to \Lambda_c \bar{\Lambda}_c$ within the
generalized parton picture. Our starting point is the double handbag diagram
which factorizes into soft generalized parton distributions and a hard
subprocess amplitude for $u \bar{u} \to c \bar{c}$. Our cross-section
predictions may become interesting in view of forthcoming experiments at FAIR
in Darmstadt.
|
2025-01-22
| 2,025
|
we studi the process p bar p to lambda c bar lambda c within the gener parton pictur our start point is the doubl handbag diagram which factor into soft gener parton distribut and a hard subprocess amplitud for u bar u to c bar c our cross section predict may becom interest in view of forthcom experi at fair in darmstadt
|
81
|
Ralf Greve, Luca Placidi, Hakime Seddik
|
A continuum-mechanical model for the flow of anisotropic polar ice
|
In order to study the mechanical behaviour of polar ice masses, the method of continuum mechanics is used. The newly developed CAFFE model (Continuum-mechanical, Anisotropic Flow model, based on an anisotropic Flow Enhancement factor) is described, which comprises an anisotropic flow law as well as a fabric evolution equation. The flow law is an extension of the isotropic Glen's flow law, in which anisotropy enters via an enhancement factor that depends on the deformability of the polycrystal. The fabric evolution equation results from an orientational mass balance and includes constitutive relations for grain rotation and recrystallization. The CAFFE model fulfills all the fundamental principles of classical continuum mechanics, is sufficiently simple to allow numerical implementations in ice-flow models and contains only a limited number of free parameters. The applicability of the CAFFE model is demonstrated by a case study for the site of the EPICA (European Project for Ice Coring in Antarctica) ice core in Dronning Maud Land, East Antarctica.
|
2025-11-10
| 2,025
|
in order to studi the mechan behaviour of polar ice mass the method of continuum mechan is use the newli develop caff model continuum mechan anisotrop flow model base on an anisotrop flow enhanc factor is describ which compris an anisotrop flow law as well as a fabric evolut equat the flow law is an extens of the isotrop glen s flow law in which anisotropi enter via an enhanc factor that depend on the deform of the polycryst the fabric evolut equat result from an orient mass balanc and includ constitut relat for grain rotat and recrystal the caff model fulfil all the fundament principl of classic continuum mechan is suffici simpl to allow numer implement in ice flow model and contain onli a limit number of free paramet the applic of the caff model is demonstr by a case studi for the site of the epica european project for ice core in antarctica ice core in dron maud land east antarctica
|
82
|
Zosia A. C. Krusberg
|
Physics education research: Resources for middle school science teachers
|
This resource letter intends to provide middle school science teachers with a collection of resources to aid them in planning and implementing a physical science curriculum. The resources are in the form of books, websites, journals, and organizations.
|
2025-05-29
| 2,025
|
thi resourc letter intend to provid middl school scienc teacher with a collect of resourc to aid them in plan and implement a physic scienc curriculum the resourc are in the form of book websit journal and organ
|
83
|
H. Aratyn, J.F. Gomes and A.H. Zimerman
|
Darboux-Backlund Derivation of Rational Solutions of the Painleve IV
Equation
|
Rational solutions of the Painleve IV equation are constructed in the setting
of pseudo-differential Lax formalism describing AKNS hierarchy subject to the
additional non-isospectral Virasoro symmetry constraint. Convenient Wronskian
representations for rational solutions are obtained by successive actions of
the Darboux-Backlund transformations.
|
2025-02-18
| 2,025
|
ration solut of the painlev iv equat are construct in the set of pseudo differenti lax formal describ akn hierarchi subject to the addit non isospectr virasoro symmetri constraint conveni wronskian represent for ration solut are obtain by success action of the darboux backlund transform
|
84
|
Michael Edmund Tobar, Toshikazu Suzuki, Kazuaki Kuroda
|
Detecting Free-Mass Common-Mode Motion Induced by Incident Gravitational
Waves: Testing General Relativity and Source Direction via Fox-Smith and
Michelson Interferometers
|
In this paper we show that information on both the differential and common
mode free-mass response to a gravitational wave can provide important
information on discriminating the direction of the gravitational wave source
and between different theories of gravitation. The conventional Michelson
interferometer scheme only measures the differential free-mass response. By
changing the orientation of the beam splitter, it is possible to configure the
detector so it is sensitive to the common-mode of the free-mass motion. The
proposed interferometer is an adaptation of the Fox-Smith interferometer. A
major limitation to the new scheme is its enhanced sensitivity to laser
frequency fluctuations over the conventional, and we propose a method of
canceling these fluctuations. The configuration could be used in parallel to
the conventional differential detection scheme with a significant sensitivity
and bandwidth.
|
2025-04-08
| 2,025
|
in thi paper we show that inform on both the differenti and common mode free mass respons to a gravit wave can provid import inform on discrimin the direct of the gravit wave sourc and between differ theori of gravit the convent michelson interferomet scheme onli measur the differenti free mass respons by chang the orient of the beam splitter it is possibl to configur the detector so it is sensit to the common mode of the free mass motion the propos interferomet is an adapt of the fox smith interferomet a major limit to the new scheme is it enhanc sensit to laser frequenc fluctuat over the convent and we propos a method of cancel these fluctuat the configur could be use in parallel to the convent differenti detect scheme with a signific sensit and bandwidth
|
85
|
Shinichiro Yamato
|
The Laue pattern and the Rydberg formula in classical soliton models
|
In recent researches of the dynamics of solitons, it is gradually revealed that oscillation modes play a crucial role when we analyze the dynamics of solitons. Some dynamical properties of solitons on external potentials are studied with both numerical methods and analytical methods. In this paper, we propose a method to deal with such oscillation modes of solitons in potential wells. We show that oscillations of a soliton is described by the Klein-Gordon equation with an external potential. Although this analysis does not seems to give quantitative scattering amplitude of a soliton itself, it explains qualitative pictures of scattering. As a result of our analysis, when a soliton is scattered in a cyclic potential, the Laue pattern emerges. Furthermore, since our analysis is based on the Klein-Gordon equation, a discrete frequency spectrum of a soliton is obtained when it is bounded by some potentials. What is especially important is that this analysis predicts a frequency spectrum of a soliton in the Coulomb potential and then we find that this system absorbs external waves with specific frequencies described by the Rydberg formula.
|
2025-08-19
| 2,025
|
in recent research of the dynam of soliton it is gradual reveal that oscil mode play a crucial role when we analyz the dynam of soliton some dynam properti of soliton on extern potenti are studi with both numer method and analyt method in thi paper we propos a method to deal with such oscil mode of soliton in potenti well we show that oscil of a soliton is describ by the klein gordon equat with an extern potenti although thi analysi doe not seem to give quantit scatter amplitud of a soliton itself it explain qualit pictur of scatter as a result of our analysi when a soliton is scatter in a cyclic potenti the laue pattern emerg furthermor sinc our analysi is base on the klein gordon equat a discret frequenc spectrum of a soliton is obtain when it is bound by some potenti what is especi import is that thi analysi predict a frequenc spectrum of a soliton in the coulomb potenti and then we find that thi system absorb extern wave with specif frequenc describ by the rydberg formula
|
86
|
Cyril Houdayer, Dimitri Shlyakhtenko
|
Strongly solid ${\rm II_1}$ factors with an exotic MASA
|
Using an extension of techniques of Ozawa and Popa, we give an example of a non-amenable strongly solid $\rm{II}_1$ factor $M$ containing an "exotic" maximal abelian subalgebra $A$: as an $A$,$A$-bimodule, $L^2(M)$ is neither coarse nor discrete. Thus we show that there exist $\rm{II}_1$ factors with such property but without Cartan subalgebras. It also follows from Voiculescu's free entropy results that $M$ is not an interpolated free group factor, yet it is strongly solid and has both the Haagerup property and the complete metric approximation property.
|
2025-07-17
| 2,025
|
use an extens of techniqu of ozawa and popa we give an exampl of a non amen strongli solid rm ii factor m contain an exot maxim abelian subalgebra a as an a a bimodul l m is neither coars nor discret thu we show that there exist rm ii factor with such properti but without cartan subalgebra it also follow from voiculescu s free entropi result that m is not an interpol free group factor yet it is strongli solid and ha both the haagerup properti and the complet metric approxim properti
|
87
|
Indira Chatterji and T.N.Venkataramana
|
Discrete Linear Groups containing Arithmetic Groups
|
We prove in a large number of cases, that a Zariski dense discrete subgroup of a simple real algebraic group $G$ which contains a higher rank lattice is a lattice in the group $G$. For example, we show that a Zariski dense subgroup of $SL_n({\mathbb R})$ which contains $SL_3({\mathbb Z})$ in the top left hand corner, is conjugate to $SL_n({\mathbb Z})$ .
|
2025-10-07
| 2,025
|
we prove in a larg number of case that a zariski dens discret subgroup of a simpl real algebra group g which contain a higher rank lattic is a lattic in the group g for exampl we show that a zariski dens subgroup of sl n mathbb r which contain sl mathbb z in the top left hand corner is conjug to sl n mathbb z
|
88
|
H. Razmi and A. MohammadKazemi
|
On the Relativistic Origin of spin: A Case for the "Rest Angular Momentum"
|
The intrinsic angular momentum, or spin, is a cornerstone of modern physics with profound applications from nuclear magnetic resonance to spintronics. While its mathematical structure within quantum theory is well-defined, its fundamental origin is often less emphasized. This paper revisits the genesis of spin by examining its emergence in relativistic wave equations, its role in the Thomas precession, and its formulation for massless photons in electrodynamics. It is argued that these foundational elements collectively demonstrate that spin is inherently a consequence of relativistic spacetime symmetry, rather than a purely quantum mechanical property. Consequently, the term "rest angular momentum" offers a more conceptually accurate description, highlighting its origin as an intrinsic property manifest even in an object's rest frame, as dictated by the Poincar\'e group.
|
2025-09-30
| 2,025
|
the intrins angular momentum or spin is a cornerston of modern physic with profound applic from nuclear magnet reson to spintron while it mathemat structur within quantum theori is well defin it fundament origin is often less emphas thi paper revisit the genesi of spin by examin it emerg in relativist wave equat it role in the thoma precess and it formul for massless photon in electrodynam it is argu that these foundat element collect demonstr that spin is inher a consequ of relativist spacetim symmetri rather than a pure quantum mechan properti consequ the term rest angular momentum offer a more conceptu accur descript highlight it origin as an intrins properti manifest even in an object s rest frame as dictat by the poincar e group
|
89
|
I. Neri and D. Boll\'e
|
The Cavity Approach to Parallel Dynamics of Ising Spins on a Graph
|
We use the cavity method to study parallel dynamics of disordered Ising
models on a graph. In particular, we derive a set of recursive equations in
single site probabilities of paths propagating along the edges of the graph.
These equations are analogous to the cavity equations for equilibrium models
and are exact on a tree. On graphs with exclusively directed edges we find an
exact expression for the stationary distribution of the spins. We present the
phase diagrams for an Ising model on an asymmetric Bethe lattice and for a
neural network with Hebbian interactions on an asymmetric scale-free graph. For
graphs with a nonzero fraction of symmetric edges the equations can be solved
for a finite number of time steps. Theoretical predictions are confirmed by
simulation results. Using a heuristic method, the cavity equations are extended
to a set of equations that determine the marginals of the stationary
distribution of Ising models on graphs with a nonzero fraction of symmetric
edges. The results of this method are discussed and compared with simulations.
|
2025-04-23
| 2,025
|
we use the caviti method to studi parallel dynam of disord ise model on a graph in particular we deriv a set of recurs equat in singl site probabl of path propag along the edg of the graph these equat are analog to the caviti equat for equilibrium model and are exact on a tree on graph with exclus direct edg we find an exact express for the stationari distribut of the spin we present the phase diagram for an ise model on an asymmetr beth lattic and for a neural network with hebbian interact on an asymmetr scale free graph for graph with a nonzero fraction of symmetr edg the equat can be solv for a finit number of time step theoret predict are confirm by simul result use a heurist method the caviti equat are extend to a set of equat that determin the margin of the stationari distribut of ise model on graph with a nonzero fraction of symmetr edg the result of thi method are discuss and compar with simul
|
90
|
Anton Petrunin
|
PIGTIKAL (puzzles in geometry that I know and love)
|
Problems for the graduate students who want to improve problem-solving skills
in geometry. Every problem has a short elegant solution -- this gives a hint
which was not available when the problem was discovered.
|
2025-02-04
| 2,025
|
problem for the graduat student who want to improv problem solv skill in geometri everi problem ha a short eleg solut thi give a hint which wa not avail when the problem wa discov
|
91
|
S.V. Goloskokov (JINR) and P. Kroll (Wuppertal Univ.)
|
An attempt to understand exclusive pi+ electroproduction
|
Hard exclusive pi+ electroproduction is investigated within the handbag
approach. The prominent role of the pion-pole contribution is demonstrated. It
is also shown that the experimental data require a twist-3 effect which ensues
from the helicity-flip generalized parton distribution H_T and the twist-3 pion
wave function. The results calculated from this handbag approach are compared
in detail with the experimental data on cross sections and spin asymmetries
measured with a polarized target. It is also commented on consequences of this
approach for exclusive \pi^0 and vector-meson electroproduction.
|
2025-01-22
| 2,025
|
hard exclus pi electroproduct is investig within the handbag approach the promin role of the pion pole contribut is demonstr it is also shown that the experiment data requir a twist effect which ensu from the helic flip gener parton distribut h t and the twist pion wave function the result calcul from thi handbag approach are compar in detail with the experiment data on cross section and spin asymmetri measur with a polar target it is also comment on consequ of thi approach for exclus pi and vector meson electroproduct
|
92
|
Axel van de Walle
|
Multicomponent multisublattice alloys, nonconfigurational entropy and other additions to the Alloy Theoretic Automated Toolkit
|
A number of new functionalities have been added to the Alloy Theoretic Automated Toolkit (ATAT) since it was last reviewed in this journal in 2002. ATAT can now handle multicomponent multisublattice alloy systems, nonconfigurational sources of entropy (e.g. vibrational and electronic entropy), Special Quasirandom Structures (SQS) generation, tensorial cluster expansion construction and includes interfaces for multiple atomistic or ab initio codes. This paper presents an overview of these features geared towards the practical use of the code. The extensions to the cluster expansion formalism needed to cover multicomponent multisublattice alloys are also formally demonstrated.
|
2025-06-11
| 2,025
|
a number of new function have been ad to the alloy theoret autom toolkit atat sinc it wa last review in thi journal in atat can now handl multicompon multisublattic alloy system nonconfigur sourc of entropi e g vibrat and electron entropi special quasirandom structur sq gener tensori cluster expans construct and includ interfac for multipl atomist or ab initio code thi paper present an overview of these featur gear toward the practic use of the code the extens to the cluster expans formal need to cover multicompon multisublattic alloy are also formal demonstr
|
93
|
Laurent Bienvenu, Alexander Shen
|
Algorithmic information theory and martingales
|
The notion of an individual random sequence goes back to von Mises. We describe the evolution of this notion, especially the use of martingales (suggested by Ville), and the development of algorithmic information theory in 1960s and 1970s (Solomonov, Kolmogorov, Martin-Lof, Levin, Chaitin, Schnorr and others). We conclude with some remarks about the use of the algorithmic information theory in the foundations of probability theory.
|
2025-08-27
| 2,025
|
the notion of an individu random sequenc goe back to von mise we describ the evolut of thi notion especi the use of martingal suggest by vill and the develop of algorithm inform theori in s and s solomonov kolmogorov martin lof levin chaitin schnorr and other we conclud with some remark about the use of the algorithm inform theori in the foundat of probabl theori
|
94
|
Niurka R.Quintero, Jos'e A. Cuesta, and Renato Alvarez-Nodarse
|
Symmetries shape the current in ratchets induced by a bi-harmonic force
|
Equations describing the evolution of particles, solitons, or localized structures, driven by a zero-average, periodic, external force, and invariant under time reversal and a half-period time shift, exhibit a ratchet current when the driving force breaks these symmetries. The bi-harmonic force $f(t)=\epsilon_1\cos(q \omega t+\phi_1)+\epsilon_2\cos(p\omega t+\phi_2)$ does it for almost any choice of $\phi_{1}$ and $\phi_{2}$, provided $p$ and $q$ are two co-prime integers such that $p+q$ is odd. It has been widely observed, in experiments in Josephson-junctions, photonic crystals, etc., as well as in simulations, that the ratchet current induced by this force has the shape $v\propto\epsilon_1^p\epsilon_2^q\cos(p \phi_{1} - q \phi_{2} + \theta_0)$ for small amplitudes, where $\theta_0$ depends on the damping ($\theta_0=\pi/2$ if there is no damping, and $\theta_0=0$ for overdamped systems). We rigorously prove that this precise shape can be obtained solely from the broken symmetries of the system and is independent of the details of the equation describing the system.
|
2025-11-11
| 2,025
|
equat describ the evolut of particl soliton or local structur driven by a zero averag period extern forc and invari under time revers and a half period time shift exhibit a ratchet current when the drive forc break these symmetri the bi harmon forc f t epsilon co q omega t phi epsilon co p omega t phi doe it for almost ani choic of phi and phi provid p and q are two co prime integ such that p q is odd it ha been wide observ in experi in josephson junction photon crystal etc as well as in simul that the ratchet current induc by thi forc ha the shape v propto epsilon p epsilon q co p phi q phi theta for small amplitud where theta depend on the damp theta pi if there is no damp and theta for overdamp system we rigor prove that thi precis shape can be obtain sole from the broken symmetri of the system and is independ of the detail of the equat describ the system
|
95
|
Edwin Hammerich
|
Design of Pulse Shapes Based on Sampling with Gaussian Prefilter
|
Two new pulse shapes for communications are presented. The first pulse shape generates a set of pulses without intersymbol interference (ISI) or ISI-free for short. In the neighborhood of the origin it is similar in shape to the classical cardinal sine function but is of exponential decay at infinity. This pulse shape is identical to the interpolating function of a generalized sampling theorem with Gaussian prefilter. The second pulse shape is obtained from the first pulse shape by spectral factorization. Besides being also of exponential decay at infinity, it has a causal appearance since it is of superexponential decay for negative times. It is closely related to the orthonormal generating function considered earlier by Unser in the context of shift-invariant spaces. This pulse shape is not ISI-free but it generates a set of orthonormal pulses. The second pulse shape may also be used to define a receive matched filter so that at the filter output the ISI-free pulses of the first kind are recovered.
|
2025-09-25
| 2,025
|
two new puls shape for commun are present the first puls shape gener a set of puls without intersymbol interfer isi or isi free for short in the neighborhood of the origin it is similar in shape to the classic cardin sine function but is of exponenti decay at infin thi puls shape is ident to the interpol function of a gener sampl theorem with gaussian prefilt the second puls shape is obtain from the first puls shape by spectral factor besid be also of exponenti decay at infin it ha a causal appear sinc it is of superexponenti decay for neg time it is close relat to the orthonorm gener function consid earlier by unser in the context of shift invari space thi puls shape is not isi free but it gener a set of orthonorm puls the second puls shape may also be use to defin a receiv match filter so that at the filter output the isi free puls of the first kind are recov
|
96
|
Luca Ghislanzoni
|
Partial Sums of the Series for the Dirichlet Eta Function, their Peculiar Convergence, the Simple Zeros Conjecture, and the RH
|
For any $s \in \mathbb{C}$ with $\Re(s)>0$, denote by $\eta_{n-1}(s)$ the $(n-1)^{th}$ partial sum of the Dirichlet series for the eta function $\eta(s)=1-2^{-s}+3^{-s}-\cdots \;$, and by $R_n(s)$ the corresponding remainder. Denoting by $u_n(s)$ the segment starting at $\eta_{n-1}(s)$ and ending at $\eta_n(s)$, we first show how, for sufficiently large $n$ values, the circle of diameter $u_{n+2}(s)$ lies strictly inside the circle of diameter $u_n(s)$, to then derive the asymptotic relationship $R_n(s) \sim (-1)^{n-1}/n^s$, as $n \rightarrow \infty$. Denoting by $D=\left\{s \in \mathbb{C}: \; 0< \Re(s) < \frac{1}{2}\right\}$ the open left half of the critical strip, define for all $s\in D$ the ratio $\chi_n^{\pm}(s) = \eta_n(1-s) / \eta_n(s)$. We then prove that the limit $L(s)=\lim_{N(s)<n\to\infty} \chi_n^{\pm}(s)$ exists at every point $s$ of the domain $D$. The function $L(s)$ is continuous on $D$ if and only if the Riemann Hypothesis is true. Finally, we remark how the asymptotic behaviour of $R_n(s)$ can also provide insights substantiating the so called Simple Zeros Conjecture.
|
2025-08-08
| 2,025
|
for ani s in mathbb c with re s denot by eta n s the n th partial sum of the dirichlet seri for the eta function eta s s s cdot and by r n s the correspond remaind denot by u n s the segment start at eta n s and end at eta n s we first show how for suffici larg n valu the circl of diamet u n s lie strictli insid the circl of diamet u n s to then deriv the asymptot relationship r n s sim n n s as n rightarrow infti denot by d left s in mathbb c re s frac right the open left half of the critic strip defin for all s in d the ratio chi n pm s eta n s eta n s we then prove that the limit l s lim n s n to infti chi n pm s exist at everi point s of the domain d the function l s is continu on d if and onli if the riemann hypothesi is true final we remark how the asymptot behaviour of r n s can also provid insight substanti the so call simpl zero conjectur
|
97
|
Franz G. Mertens, Niurka R. Quintero and A. R. Bishop
|
Nonlinear Schr\"odinger Equation with Spatio-Temporal Perturbations
|
We investigate the dynamics of solitons of the cubic Nonlinear Schr\"odinger Equation (NLSE) with the following perturbations: non-parametric spatio-temporal driving of the form $f(x,t) = a \exp[i K(t) x]$, damping, and a linear term which serves to stabilize the driven soliton. Using the time evolution of norm, momentum and energy, or, alternatively, a Lagrangian approach, we develop a Collective-Coordinate-Theory which yields a set of ODEs for our four collective coordinates. These ODEs are solved analytically and numerically for the case of a constant, spatially periodic force $f(x)$. The soliton position exhibits oscillations around a mean trajectory with constant velocity. This means that the soliton performs, on the average, a unidirectional motion although the spatial average of the force vanishes. The amplitude of the oscillations is much smaller than the period of $f(x)$. In order to find out for which regions the above solutions are stable, we calculate the time evolution of the soliton momentum $P(t)$ and soliton velocity $V(t)$: This is a parameter representation of a curve $P(V)$ which is visited by the soliton while time evolves. Our conjecture is that the soliton becomes unstable, if this curve has a branch with negative slope. This conjecture is fully confirmed by our simulations for the perturbed NLSE. Moreover, this curve also yields a good estimate for the soliton lifetime: the soliton lives longer, the shorter the branch with negative slope is.
|
2025-11-11
| 2,025
|
we investig the dynam of soliton of the cubic nonlinear schr oding equat nlse with the follow perturb non parametr spatio tempor drive of the form f x t a exp i k t x damp and a linear term which serv to stabil the driven soliton use the time evolut of norm momentum and energi or altern a lagrangian approach we develop a collect coordin theori which yield a set of ode for our four collect coordin these ode are solv analyt and numer for the case of a constant spatial period forc f x the soliton posit exhibit oscil around a mean trajectori with constant veloc thi mean that the soliton perform on the averag a unidirect motion although the spatial averag of the forc vanish the amplitud of the oscil is much smaller than the period of f x in order to find out for which region the abov solut are stabl we calcul the time evolut of the soliton momentum p t and soliton veloc v t thi is a paramet represent of a curv p v which is visit by the soliton while time evolv our conjectur is that the soliton becom unstabl if thi curv ha a branch with neg slope thi conjectur is fulli confirm by our simul for the perturb nlse moreov thi curv also yield a good estim for the soliton lifetim the soliton live longer the shorter the branch with neg slope is
|
98
|
Michael Frank, Alexander S. Mishchenko, Alexander A. Pavlov
|
Orthogonality-preserving, C*-conformal and conformal module mappings on
Hilbert C*-modules
|
We investigate orthonormality-preserving, C*-conformal and conformal module
mappings on Hilbert C*-modules to obtain their general structure.
Orthogonality-preserving bounded module maps T act as a multiplication by an
element \lambda of the center of the multiplier algebra of the C*-algebra of
coefficients combined with an isometric module operator as long as some polar
decomposition conditions for the specific element \lambda are fulfilled inside
that multiplier algebra. Generally, T always fulfils the equality $<T(x),T(y) >
= | \lambda |^2 < x,y>$ for any elements x,y of the Hilbert C*-module. At the
contrary, C*-conformal and conformal bounded C*-linear mappings are shown to be
only the positive real multiples of isometric module operators.
|
2025-04-29
| 2,025
|
we investig orthonorm preserv c conform and conform modul map on hilbert c modul to obtain their gener structur orthogon preserv bound modul map t act as a multipl by an element lambda of the center of the multipli algebra of the c algebra of coeffici combin with an isometr modul oper as long as some polar decomposit condit for the specif element lambda are fulfil insid that multipli algebra gener t alway fulfil the equal t x t y lambda x y for ani element x y of the hilbert c modul at the contrari c conform and conform bound c linear map are shown to be onli the posit real multipl of isometr modul oper
|
99
|
Alexander I. Efimov
|
Homological mirror symmetry for curves of higher genus
|
Katzarkov has proposed a generalization of Kontsevich's mirror symmetry
conjecture, covering some varieties of general type. Seidel \cite{Se} has
proved a version of this conjecture in the simplest case of the genus two
curve. Basing on the paper of Seidel, we prove the conjecture (in the same
version) for curves of genus $g\geq 3,$ relating the Fukaya category of a genus
$g$ curve to the category of Landau-Ginzburg branes on a certain singular
surface. We also prove a kind of reconstruction theorem for hypersurface
singularities. Namely, formal type of hypersurface singularity (i.e. a formal
power series up to a formal change of variables) can be reconstructed, with
some technical assumptions, from its D$(\Z/2)$-G category of Landau-Ginzburg
branes. The precise statement is Theorem 1.2.
|
2025-02-07
| 2,025
|
katzarkov ha propos a gener of kontsevich s mirror symmetri conjectur cover some varieti of gener type seidel cite se ha prove a version of thi conjectur in the simplest case of the genu two curv base on the paper of seidel we prove the conjectur in the same version for curv of genu g geq relat the fukaya categori of a genu g curv to the categori of landau ginzburg brane on a certain singular surfac we also prove a kind of reconstruct theorem for hypersurfac singular name formal type of hypersurfac singular i e a formal power seri up to a formal chang of variabl can be reconstruct with some technic assumpt from it d z g categori of landau ginzburg brane the precis statement is theorem
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.