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2025-12-13 00:00:00
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Zhenqi Jenny Wang
Local rigidity of higher rank partially hyperbolic algebraic actions
We give a complete solution to the local classification program of higher rank partially hyperbolic algebraic actions. We show $C^\infty$ local rigidity of abelian ergodic algebraic actions for symmetric space examples, twisted symmetric space examples and automorphisms on nilmanifolds. The method is a combination of...
2025-03-20
2,025
give complet solut local classif program higher rank partial hyperbol algebra action show c infti local rigid abelian ergod algebra action symmetr space exampl twist symmetr space exampl automorph nilmanifold method combin represent theori harmon analysi kam iter strike featur method specif inform represent theori need...
201
201
Klaus Dohmen and Peter Tittmann
Domination Reliability
We propose a new network reliability measure for some particular kind of service networks, which we refer to as domination reliability. We relate this new reliability measure to the domination polynomial of a graph and the coverage probability of a hypergraph. We derive explicit and recursive formulae for domination re...
2025-12-03
2,025
propos new network reliabl measur particular kind servic network refer domin reliabl relat new reliabl measur domin polynomi graph coverag probabl hypergraph deriv explicit recurs formula domin reliabl associ domin reliabl polynomi deduc analogu whitney broken circuit theorem prove comput domin reliabl np hard
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202
James M. Rondinelli and Nicola A. Spaldin
Structure and properties of functional oxide thin films: Insights from electronic-structure calculations
The confluence of state-of-the-art electronic-structure computations and modern synthetic materials growth techniques is proving indispensable in the search for and discovery of new functionalities in oxide thin films and heterostructures. Here, we review the recent contributions of electronic-structure calculations to...
2025-06-10
2,025
confluenc state art electron structur comput modern synthet materi growth techniqu prove indispens search discoveri new function oxid thin film heterostructur review recent contribut electron structur calcul predict understand discov new materi physic thin film perovskit oxid show calcul accur predict structur properti...
203
203
George Lusztig and Ting Xue
Elliptic Weyl group elements and unipotent isometries with p=2
Let G be a classical group over an algebraically closed field of characteristic 2 and let C be an elliptic conjugacy class in the Weyl group. In a previous paper the first named author associated to C a unipotent conjugacy class \Phi(C) in G. In this paper we show that \Phi(C) can be characterized in terms of the clo...
2025-03-25
2,025
let g classic group algebra close field characterist let c ellipt conjugaci class weyl group previou paper first name author associ c unipot conjugaci class phi c g paper show phi c character term closur relat unipot class previous analog result known odd characterist except group characterist
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204
Stefan Kaspar
Computing Border Bases without using a Term Ordering
Border bases, a generalization of Groebner bases, have actively been researched during recent years due to their applicability to industrial problems. A. Kehrein and M. Kreuzer formulated the so called Border Basis Algorithm, an algorithm which allows the computation of border bases that relate to a degree compatible t...
2025-08-13
2,025
border base gener groebner base activ research recent year due applic industri problem kehrein kreuzer formul call border basi algorithm algorithm allow comput border base relat degre compat term order paper extend origin border basi algorithm way also border base relat term order comput
205
205
Quentin Berger and Hubert Lacoin
Sharp critical behavior for pinning model in random correlated environment
This article investigates the effect for random pinning models of long range power-law decaying correlations in the environment. For a particular type of environment based on a renewal construction, we are able to sharply describe the phase transition from the delocalized phase to the localized one, giving the critical...
2025-08-15
2,025
articl investig effect random pin model long rang power law decay correl environ particular type environ base renew construct abl sharpli describ phase transit deloc phase local one give critic expon quench free energi prove critic point trajectori fulli deloc result contrast happen pure model e without disord wide stu...
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206
Sariel Har-Peled
A Simple Proof of the Existence of a Planar Separator
We provide a simple proof of the existence of a planar separator by showing that it is an easy consequence of the circle packing theorem. We also reprove other results on separators, including: (A) There is a simple cycle separator if the planar graph is triangulated. Furthermore, if each face has at most $d$ edges o...
2025-10-07
2,025
provid simpl proof exist planar separ show easi consequ circl pack theorem also reprov result separ includ simpl cycl separ planar graph triangul furthermor face edg boundari cycl separ size sqrt n b set n ball r k pli separ intersect graph ball size k n c k nearest neighbor graph set n point r contain separ size k n n...
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207
Stephen Boyce
On the standard interpretation of first-order number theory
The standard interpretation of first-order number theory (PA), according to the generally accepted view, associates well-defined set-theoretic entities with each and every well-formed formula of this system. But this implies that the class of PA theorems is semantically defined by a class sign of PA itself, (E x_2) Pf(...
2025-12-09
2,025
standard interpret first order number theori pa accord gener accept view associ well defin set theoret entiti everi well form formula system impli class pa theorem semant defin class sign pa e x pf x x follow sens b pa numer number b e x pf x b true standard interpret b godel number pa theorem howev easili establish mo...
208
208
Amit Einav and Michael Loss
Sharp trace inequalities for fractional Laplacians
The sharp trace inequality of Jose Escobar is extended to traces for the fractional Laplacian on R^n and a complete characterization of cases of equality is discussed. The proof proceeds via Fourier transform and uses Lieb's sharp form of the Hardy-Littlewood-Sobolev inequality.
2025-05-26
2,025
sharp trace inequ jose escobar extend trace fraction laplacian r n complet character case equal discuss proof proce via fourier transform use lieb sharp form hardi littlewood sobolev inequ
209
209
Weilong She
A phenomenology condition other than zero resistance and a possible pairing mechanism of holes-electrons for superconductivity
The underlying mechanism of unconventional high-temperature superconductivity is a great challenge to condensed matter physics. However, zero dissipation of electric current is the commonness of superconductors whether they are conventional or unconventional ones. In this presentation, the Ohm law in a nonmagnetic co...
2025-04-30
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underli mechan unconvent high temperatur superconduct great challeng condens matter physic howev zero dissip electr current common superconductor whether convent unconvent one present ohm law nonmagnet conductor deriv set modifi electromagnet equat involv maxwel one found steadi current dissip conductor express j cdot ...
210
210
Jean-Paul Doeraene and Mohammed El Haouari
Up to one approximations of sectional category and topological complexity
James' sectional category and Farber's topological complexity are studied in a general and unified framework. We introduce `relative' and `strong relative' forms of the category for a map. We show that both can differ from sectional category just by 1. A map has sectional or relative category less than or equal to $n...
2025-06-26
2,025
jame section categori farber topolog complex studi gener unifi framework introduc rel strong rel form categori map show differ section categori map section rel categori less equal n domin sens map strong rel categori less equal n homotopi pushout increas section categori neither homotopi pushout homotopi pullback incre...
211
211
S. N. Avci, X. Hu, E. Ayanoglu
Recovery from Link Failures in Networks with Arbitrary Topology via Diversity Coding
Link failures in wide area networks are common. To recover from such failures, a number of methods such as SONET rings, protection cycles, and source rerouting have been investigated. Two important considerations in such approaches are the recovery time and the needed spare capacity to complete the recovery. Usually, t...
2025-05-15
2,025
link failur wide area network common recov failur number method sonet ring protect cycl sourc rerout investig two import consider approach recoveri time need spare capac complet recoveri usual techniqu attempt achiev recoveri time less ms paper introduc approach provid link failur recoveri hitless manner without apprec...
212
212
Irina Kmit
Fredholm Solvability of Periodic Neumann Problem for a Linear Telegraph Equation
We investigate the linear telegraph equation $$ u_{tt}-u_{xx}+2\mu u_t=f(x,t) $$ with periodic Neumann boundary conditions. We prove that the operator of the problem is modeled as a Fredholm operator of index zero in the scale of Sobolev-type spaces of periodic functions. This result extends to small perturbations of t...
2025-12-10
2,025
investig linear telegraph equat u tt u xx mu u f x period neumann boundari condit prove oper problem model fredholm oper index zero scale sobolev type space period function result extend small perturb equat mu becom variabl discontinu addit zero order term appear also show solut problem smooth
213
213
Mireille Bousquet-M\'elou (LaBRI)
On the importance sampling of self-avoiding walks
In a 1976 paper published in Science, Knuth presented an algorithm to sample (non-uniform) self-avoiding walks crossing a square of side k. From this sample, he constructed an estimator for the number of such walks. The quality of this estimator is directly related to the (relative) variance of a certain random varia...
2025-04-11
2,025
paper publish scienc knuth present algorithm sampl non uniform self avoid walk cross squar side k sampl construct estim number walk qualiti estim directli relat rel varianc certain random variabl x k experi knuth suspect varianc extrem larg estim would effici larg analog rosenbluth algorithm sampl unconfin self avoid w...
214
214
Jay Bartroff, Matthew Finkelman, Tze Leung Lai
Modern Sequential Analysis and its Applications to Computerized Adaptive Testing
After a brief review of recent advances in sequential analysis involving sequential generalized likelihood ratio tests, we discuss their use in psychometric testing and extend the asymptotic optimality theory of these sequential tests to the case of sequentially generated experiments, of particular interest in comput...
2025-01-08
2,025
brief review recent advanc sequenti analysi involv sequenti gener likelihood ratio test discuss use psychometr test extend asymptot optim theori sequenti test case sequenti gener experi particular interest computer adapt test show method use design adapt masteri test asymptot optim also shown provid substanti improv cu...
215
215
Robert J. Berman
Tunneling, the Quillen metric and analytic torsion for high powers of a holomorphic line bundle
Let L be a line bundle over a compact complex manifold X and endow L and TX with Hermitian metrics. Our main result provides a formula for the average distribution of the exponentially small eigenvalues of the corresponding Dolbeault Laplacians associated to high tensor powers of L; which in physics terminology is a me...
2025-05-19
2,025
let l line bundl compact complex manifold x endow l tx hermitian metric main result provid formula averag distribut exponenti small eigenvalu correspond dolbeault laplacian associ high tensor power l physic terminolog measur tunnel dolbeault complex along way new proof asymptot induc quillen metric correspond determin ...
216
216
Niurka R. Quintero, Renato Alvarez-Nodarse and Jos\'e A. Cuesta
Ratchet effect on a relativistic particle driven by external forces
We study the ratchet effect of a damped relativistic particle driven by both asymmetric temporal bi-harmonic and time-periodic piecewise constant forces. This system can be formally solved for any external force, providing the ratchet velocity as a non-linear functional of the driving force. This allows us to explicitl...
2025-11-11
2,025
studi ratchet effect damp relativist particl driven asymmetr tempor bi harmon time period piecewis constant forc system formal solv extern forc provid ratchet veloc non linear function drive forc allow us explicitli illustr function taylor expans formal recent propos kind system taylor expans reveal particularli use ob...
217
217
S.V. Goloskokov and P. Kroll
Transversity in hard exclusive electroproduction of pseudoscalar mesons
Estimates for electroproduction of pseudoscalar mesons at small values of skewness are presented. Cross sections and asymmetries for these processes are calculated within the handbag approach which is based on factorization in hard parton subprocesses and soft generalized parton distributions (GPDs). The latter are c...
2025-01-08
2,025
estim electroproduct pseudoscalar meson small valu skew present cross section asymmetri process calcul within handbag approach base factor hard parton subprocess soft gener parton distribut gpd latter construct doubl distribut transvers gpd taken account accompani twist meson wave function pseudoscalar meson channel co...
218
218
Murray R. Bremner, Mikelis G. Bickis, and Mohsen Soltanifar
Cayley's hyperdeterminant: a combinatorial approach via representation theory
Cayley's hyperdeterminant is a homogeneous polynomial of degree 4 in the 8 entries of a 2 x 2 x 2 array. It is the simplest (nonconstant) polynomial which is invariant under changes of basis in three directions. We use elementary facts about representations of the 3-dimensional simple Lie algebra sl_2(C) to reduce the ...
2025-12-09
2,025
cayley hyperdetermin homogen polynomi degre entri x x array simplest nonconst polynomi invari chang basi three direct use elementari fact represent dimension simpl lie algebra sl c reduc problem find invari polynomi x x array combinatori problem enumer x x array non neg integ entri appli result linear algebra obtain ne...
219
219
JinHua Fei
About The Riemann Hypothesis (Revised Manuscript)
The Riemann hypothesis is part of Hilbert's eighth problem in David Hilbert's list of 23 unsolved problems. it is also one of the Clay Mathematics Institute's Millennium Prize Problems. Some mathematicians consider it the most important unresolved problem in pure mathematics. Many mathematicians made a lot of effort, t...
2025-08-05
2,025
riemann hypothesi part hilbert eighth problem david hilbert list unsolv problem also one clay mathemat institut millennium prize problem mathematician consid import unresolv problem pure mathemat mani mathematician made lot effort prove riemann hypothesi paper use analyt method deni riemann hypothesi
220
220
Franz G. Mertens, Niurka R. Quintero, I. V. Barashenkov and A. R. Bishop
A refined empirical stability criterion for nonlinear Schroedinger solitons under spatiotemporal forcing
We investigate the dynamics of travelling oscillating solitons of the cubic NLS equation under an external spatiotemporal forcing of the form $f(x,t) = a \exp[iK(t)x]$. For the case of time-independent forcing a stability criterion for these solitons, which is based on a collective coordinate theory, was recently conje...
2025-11-11
2,025
investig dynam travel oscil soliton cubic nl equat extern spatiotempor forc form f x exp ik x case time independ forc stabil criterion soliton base collect coordin theori recent conjectur show propos criterion limit applic present refin criterion gener applic confirm direct simul includ gener situat k harmon biharmon w...
221
221
Aviv Sheyn and Ran J. Tessler
Edge-Removal and Non-Crossing Perfect Matchings
We study the following problem - How many arbitrary edges can be removed from a complete geometric graph with 2n vertices such that the resulting graph always contains a perfect non-crossing matching? We first address the case where the boundary of the convex hull of the original graph contains at most $n + 1$ points...
2025-01-17
2,025
studi follow problem mani arbitrari edg remov complet geometr graph n vertic result graph alway contain perfect non cross match first address case boundari convex hull origin graph contain n point case show n edg remov one gener case second part establish lower bound case n point randomli chosen prove probabl tend one ...
222
222
W. G. Unruh
Quantum Noise in Amplifiers and Hawking/Dumb-Hole Radiation as Amplifier Noise
The quantum noise in a linear amplifier is shown to be thermal noise. The theory of linear amplifiers is applied first to the simplest, single or double oscillator model of an amplifier, and then to linear model of an amplifier with continuous fields and input and outputs. Finally it is shown that the thermal noise emi...
2025-09-19
2,025
quantum nois linear amplifi shown thermal nois theori linear amplifi appli first simplest singl doubl oscil model amplifi linear model amplifi continu field input output final shown thermal nois emit black hole first demonstr hawk dumb hole sonic analog black hole aris analysi linear amplifi amplifi nois black hole act...
223
223
Jesse Gilbert
Probabilistic Methods on Erdos Problems
The ideas here are a continuation of a previous article. Some of the applications of the main ideas in the previous article are explained, along with some limitations of the general ideas. There are situations where additional hypotheses allow the use of the main ideas in problems that are not immediately accessible.
2025-07-15
2,025
idea continu previou articl applic main idea previou articl explain along limit gener idea situat addit hypothes allow use main idea problem immedi access
224
224
Luke Oeding
Hyperdeterminants of Polynomials
The hyperdeterminant of a polynomial (interpreted as a symmetric tensor) factors into several irreducible factors with multiplicities. Using geometric techniques these factors are identified along with their degrees and their multiplicities. The analogous decomposition for the \mu-discriminant of polynomial is found.
2025-10-16
2,025
hyperdetermin polynomi interpret symmetr tensor factor sever irreduc factor multipl use geometr techniqu factor identifi along degre multipl analog decomposit mu discrimin polynomi found
225
225
Mauro Avon
An "Absolute" Type of Logic
This paper proposes an alternative to standard first-order logic that seeks greater naturalness, generality, and semantic self-containment. The system removes the first-order restriction, avoids type hierarchies, and dispenses with external structures, making the meaning of expressions depend solely on their constituen...
2025-08-12
2,025
paper propos altern standard first order logic seek greater natur gener semant self contain system remov first order restrict avoid type hierarchi dispens extern structur make mean express depend sole constitu symbol term formula unifi singl notion express set builder notat integr primit construct connect quantifi trea...
226
226
Miklos Abert and Gabor Elek
The Space of Actions, Partition Metric and Combinatorial Rigidity
We introduce a natural pseudometric on the space of actions of d-generated groups. In this pseudometric, the zero classes correspond to the weak equivalence classes defined by Kechris, and the metric identification is compact. We achieve this by employing symbolic dynamics and an ultraproduct construction which also ...
2025-03-18
2,025
introduc natur pseudometr space action gener group pseudometr zero class correspond weak equival class defin kechri metric identif compact achiev employ symbol dynam ultraproduct construct also facilit extens result unitari represent byproduct show weak equival class everi free non amen action contain action satisfi me...
227
227
I. Kmit and L.Recke
Periodic Solutions to Dissipative Hyperbolic Systems. I: Fredholm Solvability of Linear Problems
This paper concerns linear first-order hyperbolic systems in one space dimension of the type $$ \partial_tu_j + a_j(x,t)\partial_xu_j + \sum\limits_{k=1}^nb_{jk}(x,t)u_k = f_j(x,t),\; x \in (0,1),\; j=1,\ldots,n, $$ with periodicity conditions in time and reflection boundary conditions in space. We state a non-resonanc...
2025-12-10
2,025
paper concern linear first order hyperbol system one space dimens type partial tu j j x partial xu j sum limit k nb jk x u k f j x x j ldot n period condit time reflect boundari condit space state non reson condit depend coeffici j b jj boundari reflect coeffici impli fredholm solvabl problem space continu function sta...
228
228
K. Bahmanpour, A. Khojali
On the equivalence of fsf and weakly Laskerian classes
It is proved that, over a Noetherian ring R, the class of weakly Laskerian and FSF modules are the same classes. By using this characterization we proved that the property of being weakly Laskerian descends by finite integral extensions of local ring homomorphisms and ascends by tensoring under the completion.
2025-01-17
2,025
prove noetherian ring r class weakli laskerian fsf modul class use character prove properti weakli laskerian descend finit integr extens local ring homomorph ascend tensor complet
229
229
Fran\c{c}ois Couchot (LMNO)
Rings whose indecomposable modules are pure-projective or pure-injective
Let $\mathcal{P}$ be the class of rings for which every indecomposable right module is pure-projective or pure-injective. When $R$ is a Noetherian local commutative ring of maximal ideal $P$, it is proven that $R\in\mathcal{P}$ if and only if $R$ is either an artinian valuation ring or a discrete valuation domain of ra...
2025-07-08
2,025
let mathcal p class ring everi indecompos right modul pure project pure inject r noetherian local commut ring maxim ideal p proven r mathcal p r either artinian valuat ring discret valuat domain rank one rank widetild r leq widetild r complet r p adic topolog let r commut ring r mathcal p r clean arithmet ring r p math...
230
230
Alexander Perepechko (IF)
Flexibility of affine cones over del Pezzo surfaces of degree 4 and 5
We prove that the action of the special automorphism group on affine cones over del Pezzo surfaces of degree 4 and 5 is infinitely transitive.
2025-03-06
2,025
prove action special automorph group affin cone del pezzo surfac degre infinit transit
231
231
Sergey A. Moiseev, and J.-L. Le Gou\"et
Rephasing processes and quantum memory for light: reversibility issues and how to fix them
Time reversibility is absent from some recently proposed quantum memory protocols such as Absorption Frequency Comb (AFC). Focusing on AFC memory, we show that quantum efficiency and fidelity are reduced dramatically, as a consequence of non-reversibility, when the spectral width of the incoming signal approaches the...
2025-02-06
2,025
time revers absent recent propos quantum memori protocol absorpt frequenc comb afc focus afc memori show quantum effici fidel reduc dramat consequ non revers spectral width incom signal approach memori bandwidth non revers reveal spectral dispers give rise phase mismatch propos modifi afc scheme restor revers way signa...
232
232
J. Abadie, B. P. Abbott, R. Abbott, M. Abernathy, T. Accadia, F. Acernese, C. Adams, R. Adhikari, P. Ajith, B. Allen, G. S. Allen, E. Amador Ceron, R. S. Amin, S. B. Anderson, W. G. Anderson, F. Antonucci, M. A. Arain, M. C. Araya, M. Aronsson, K. G. Arun, Y. Aso, S. M. Aston, P. Astone, D. Atkinson, P. Aufmuth, C. Aul...
Directional limits on persistent gravitational waves using LIGO S5 science data
The gravitational-wave (GW) sky may include nearby pointlike sources as well as astrophysical and cosmological stochastic backgrounds. Since the relative strength and angular distribution of the many possible sources of GWs are not well constrained, searches for GW signals must be performed in a model-independent way. ...
2025-06-12
2,025
gravit wave gw sky may includ nearbi pointlik sourc well astrophys cosmolog stochast background sinc rel strength angular distribut mani possibl sourc gw well constrain search gw signal must perform model independ way end perform two direct search persist gw use data ligo scienc run one optim pointlik sourc one arbitra...
233
233
Andrei Draganescu, Florin Spinu
Sharp estimates for the convergence rate of Orthomin(k) for a class of linear systems
In this work we show that the convergence rate of Orthomin($k$) applied to systems of the form $(I+\rho U) x = b$, where $U$ is a unitary operator and $0<\rho<1$, is less than or equal to $\rho$. Moreover, we give examples of operators $U$ and $\rho>0$ for which the asymptotic convergence rate of Orthomin($k$) is exa...
2025-01-16
2,025
work show converg rate orthomin k appli system form rho u x b u unitari oper rho less equal rho moreov give exampl oper u rho asymptot converg rate orthomin k exactli rho thu show estim sharp system scrutini may great interest exist show gener orthomin k converg faster orthomin furthermor give exampl system orthomin k ...
234
234
Yoji Kawamura, Hiroya Nakao, Yoshiki Kuramoto
Collective phase description of globally coupled excitable elements
We develop a theory of collective phase description for globally coupled noisy excitable elements exhibiting macroscopic oscillations. Collective phase equations describing macroscopic rhythms of the system are derived from Langevin-type equations of globally coupled active rotators via a nonlinear Fokker-Planck equati...
2025-08-19
2,025
develop theori collect phase descript global coupl noisi excit element exhibit macroscop oscil collect phase equat describ macroscop rhythm system deriv langevin type equat global coupl activ rotat via nonlinear fokker planck equat theori extens convent phase reduct method ordinari limit cycl limit cycl solut infinit d...
235
235
Ziyad Ghaouche and Grace G. Abou Jaoude
Strain Response of Hot-Mix Asphalt Overlays for Bottom-Up Reflective Cracking
This paper examines the strain response of typical HMA overlays above jointed PCC slabs prone to bottom-up reflective cracking. The occurrence of reflective cracking under the combined effect of traffic and environmental loading significantly reduces the design life of the HMA overlays and can lead to its premature f...
2025-05-13
2,025
paper examin strain respons typic hma overlay joint pcc slab prone bottom reflect crack occurr reflect crack combin effect traffic environment load significantli reduc design life hma overlay lead prematur failur context viscoelast materi properti combin cyclic vehicl load pavement temperatur distribut implement seri f...
236
236
Hena Das, G. Sangiovanni, A. Valli, K. Held and T. Saha-Dasgupta
Size control of Charge-Orbital Order in Half-Doped Manganite, La$_{0.5}$Ca$_{0.5}$MnO$_3$
Motivated by recent experimental results, we study the effect of size reduction on half-doped manganite, La$_{0.5}$Ca$_{0.5}$MnO$_3$, using the combination of density functional theory (DFT) and dynamical mean field theory (DMFT). We find that upon size reduction, the charge-ordered antiferromagnetic phase, observed in...
2025-07-03
2,025
motiv recent experiment result studi effect size reduct half dope manganit la ca mno use combin densiti function theori dft dynam mean field theori dmft find upon size reduct charg order antiferromagnet phase observ bulk destabil give rise stabil ferromagnet metal state theoret result carri defect free nanoclust isol e...
237
237
Shan-Guang Tan
On $|{\rm Li}(x)-\pi(x)|$ and primes in short intervals
Two topics of the number theory are discussed in this paper. First, we prove that given each natural number $x\geq10^{3}$, we have \[ |{\rm Li}(x)-\pi(x)|\leq c\sqrt{x}\log x\texttt{ and } \pi(x)={\rm Li}(x)+O(\sqrt{x}\log x) \] where $c$ is a constant greater than $1$ and less than $e$. Second, with a much more ...
2025-04-02
2,025
two topic number theori discuss paper first prove given natur number x geq rm li x pi x leq c sqrt x log x texttt pi x rm li x sqrt x log x c constant greater less e second much accur estim prime number error rang less x x geq prove theorem number prime short interv given posit real number beta determin real number x b...
238
238
Ziyad Ghaouche
Effect of PCC Joint Skew on Reflective Cracking in HMA Overlays
Reflective cracking is a relatively premature distress that occurs in HMA materials overlaying cracked and jointed underlying pavements. The high concentration of stresses and strains in the vicinity of the discontinuity of the old pavement causes the cracks to reflect into the newly placed HMA overlay. While it is a...
2025-05-13
2,025
reflect crack rel prematur distress occur hma materi overlay crack joint underli pavement high concentr stress strain vicin discontinu old pavement caus crack reflect newli place hma overlay common practic use skew transvers joint rigid pavement improv latter perform impact practic crack potenti hma overlay examin far ...
239
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Grace G. Abou-Jaoude and Ziyad Ghaouche
Numerical Investigation of Design Strategies to Achieve Long-Life Pavements
Increasing the HMA base thickness and modifying the HMA mixture properties to improve the resistance to fatigue cracking are among the most popular methods for achieving long-lasting pavements. Such methods are based on the idea of reducing the tensile strain at the bottom of the HMA layer below the Fatigue Endurance...
2025-05-13
2,025
increas hma base thick modifi hma mixtur properti improv resist fatigu crack among popular method achiev long last pavement method base idea reduc tensil strain bottom hma layer fatigu endur limit fel level strain cumul damag occur hma mixtur studi investig effect sever design strategi involv long life perpetu pavement...
240
240
Shan-Guang Tan
On the solution of the Collatz problem
In this paper, we first prove that given a nonnegative integer $m$ and an odd number $t$ not divisible by $3$, there exists a unique Collatz's Sequence \[ S_{c}(m,t)=\{n_{0}(m,t),n_{1}(m,t),n_{2}(m,t),\ldots,n_{m}(m,t),n_{m+1}(m,t)\} \] produced by a function $n_{i+1}(m,t)=(3n_{i}(m,t)+1)/2$ for $i=0,1,2,\ldots,m$ and ...
2025-11-18
2,025
paper first prove given nonneg integ odd number divis exist uniqu collatz sequenc c n n n ldot n n produc function n n ldot end even number n n time ldot odd number express discuss collatz problem two way prove collatz sequenc alway return e collatz problem solv
241
241
I.L. Buchbinder, A. Reshetnyak
General Lagrangian Formulation for Higher Spin Fields with Arbitrary Index Symmetry. I. Bosonic fields
We construct a Lagrangian description of irreducible integer higher-spin representations of the Poincare group with an arbitrary Young tableaux having k rows, on a basis of the universal BRST approach. Starting with a description of bosonic mixed-symmetry higher-spin fields in a flat space of any dimension in terms o...
2025-02-18
2,025
construct lagrangian descript irreduc integ higher spin represent poincar group arbitrari young tableaux k row basi univers brst approach start descript boson mix symmetri higher spin field flat space dimens term auxiliari fock space associ special poincar modul realiz convers initi oper constraint system construct res...
242
242
Bohui Chen, An-Min Li, Shanzhong Sun and Guosong Zhao
Relative orbifold Gromov-Witten theory and degeneration formula
Relative orbifold Gromov-Witten theory is set-up and the degeneration formula is given.
2025-01-17
2,025
rel orbifold gromov witten theori set degener formula given
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243
Robert J. Teed, Chris A. Jones, Rainer Hollerbach
Rapidly rotating plane layer convection with zonal flow
The onset of convection in a rapidly rotating layer in which a thermal wind is present is studied. Diffusive effects are included. The main motivation is from convection in planetary interiors, where thermal winds are expected due to temperature variations on the core-mantle boundary. The system admits both convective ...
2025-07-09
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onset convect rapidli rotat layer thermal wind present studi diffus effect includ main motiv convect planetari interior thermal wind expect due temperatur variat core mantl boundari system admit convect instabl baroclin instabl find smooth transit two type mode investig transit region two type instabl occur paramet spa...
244
244
D. Seipt and B. Kampfer
Non-linear Compton scattering of ultrahigh-intensity laser pulses
We present results for the photon spectrum emitted in non-linear Compton scattering of pulsed ultra-strong laser fields off relativistic electrons for intensities up to $a_0\gtrsim 100$ and pulse lengths of a few laser cycles. At ultrahigh laser intensity, it is appropriate to average over the sub- structures of the ...
2025-05-08
2,025
present result photon spectrum emit non linear compton scatter puls ultra strong laser field relativist electron intens gtrsim puls length laser cycl ultrahigh laser intens appropri averag sub structur differenti photon spectrum supplement procedur stationari phase approxim one evalu total emiss probabl find photon yie...
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245
Ziyad Ghaouche
Finite Element Investigation of the Deterioration of Doweled Rigid Pavements
The purpose of this study is to describe the failure of concrete around dowel bars in jointed rigid pavements, and the resulting effect on the pavement performance. In fact, under repetitive vehicle loading, concrete in contact with the dowel bar deteriorates, particularly at the joint face. The degradation of concre...
2025-05-14
2,025
purpos studi describ failur concret around dowel bar joint rigid pavement result effect pavement perform fact repetit vehicl load concret contact dowel bar deterior particularli joint face degrad concret around dowel neg affect latter perform term transfer wheel load vertic shear action context nonlinear finit element ...
246
246
Argimiro Arratia and Alejandra Caba\~na
Tracing the temporal evolution of clusters in a financial stock market
We propose a methodology for clustering financial time series of stocks' returns, and a graphical set-up to quantify and visualise the evolution of these clusters through time. The proposed graphical representation allows for the application of well known algorithms for solving classical combinatorial graph problems, w...
2025-07-08
2,025
propos methodolog cluster financi time seri stock return graphic set quantifi visualis evolut cluster time propos graphic represent allow applic well known algorithm solv classic combinatori graph problem interpret problem relev portfolio design invest strategi illustr graph represent evolut cluster time use real data ...
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247
Andreas Konstantinidis, Haris Haralambous, Alexandros Agapitos and Harris Papadopoulos
A GP-MOEA/D Approach for Modelling Total Electron Content over Cyprus
Vertical Total Electron Content (vTEC) is an ionospheric characteristic used to derive the signal delay imposed by the ionosphere on near-vertical trans-ionospheric links. The major aim of this paper is to design a prediction model based on the main factors that influence the variability of this parameter on a diurnal,...
2025-07-31
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vertic total electron content vtec ionospher characterist use deriv signal delay impos ionospher near vertic tran ionospher link major aim paper design predict model base main factor influenc variabl paramet diurnal season long term time scale model accur gener comprehens enough effici approxim high variat vtec howev g...
248
248
Murray R. Bremner and Sara Madariaga
Polynomial identities for tangent algebras of monoassociative loops
We introduce degree n Sabinin algebras, which are defined by the polynomial identities up to degree n in a Sabinin algebra. Degree 4 Sabinin algebras can be characterized by the polynomial identities satisfied by the commutator, associator and two quaternators in the free nonassociative algebra. We consider these opera...
2025-07-22
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introduc degre n sabinin algebra defin polynomi ident degre n sabinin algebra degre sabinin algebra character polynomi ident satisfi commut associ two quatern free nonassoci algebra consid oper free power associ algebra show one quatern redund result algebra provid natur structur tangent space ident element analyt loop...
249
249
Luke Oeding and Claudiu Raicu
Tangential varieties of Segre-Veronese varieties
We determine the minimal generators of the ideal of the tangential variety of a Segre-Veronese variety, as well as the decomposition into irreducible GL-representations of its homogeneous coordinate ring. In the special case of a Segre variety, our results confirm a conjecture of Landsberg and Weyman.
2025-10-16
2,025
determin minim gener ideal tangenti varieti segr verones varieti well decomposit irreduc gl represent homogen coordin ring special case segr varieti result confirm conjectur landsberg weyman
250
250
Hiroki Ohta and Shin-ichi Sasa
Jamming transition in kinetically constrained models with reflection symmetry
A class of kinetically constrained models with reflection symmetry is proposed as an extension of the Fredrickson-Andersen model. It is proved that the proposed model on the square lattice exhibits a freezing transition at a non-trivial density. It is conjectured by numerical experiments that the known mechanism of t...
2025-01-06
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class kinet constrain model reflect symmetri propos extens fredrickson andersen model prove propos model squar lattic exhibit freez transit non trivial densiti conjectur numer experi known mechan singular behavior near freez transit previous studi model spiral model respons propos model
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251
John Koempel, Peter Kroll, Andreas Metz, Jian Zhou
Exclusive production of quarkonia as a probe of the GPD E for gluons
Exclusive quarkonium photo- and electro-production off the nucleon is studied in the framework of generalized parton distributions (GPDs). The short distance part of the process is treated at leading order in perturbative Quantum Chromodynamics. The main focus is on the GPD E for gluons. On the basis of different mod...
2025-01-08
2,025
exclus quarkonium photo electro product nucleon studi framework gener parton distribut gpd short distanc part process treat lead order perturb quantum chromodynam main focu gpd e gluon basi differ model e estim transvers target spin asymmetri typic kinemat futur electron ion collid also explor potenti measur polar reco...
252
252
Osamu Narikiyo
A Diagrammer's Note on Superconducting Fluctuation Transport for Beginners: I. Conductivity and Thermopower
A diagrammatic approach based on thermal Green function to superconducting fluctuation transport is reviewed keeping consistency with Ginzburg-Landau theory. The correct expression of the heat current vertex for Cooper pairs is clarified via Jonson-Mahan formula and Ward identities.
2025-12-05
2,025
diagrammat approach base thermal green function superconduct fluctuat transport review keep consist ginzburg landau theori correct express heat current vertex cooper pair clarifi via jonson mahan formula ward ident
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253
Keqin Liu, Tianshuo Zheng, Zhi-Hua Zhou
Extended UCB Policies for Multi-armed Bandit Problems
The multi-armed bandit (MAB) problems are widely studied in fields of operations research, stochastic optimization, and reinforcement learning. In this paper, we consider the classical MAB model with heavy-tailed reward distributions and introduce the extended robust UCB policy, which is an extension of the results of ...
2025-09-16
2,025
multi arm bandit mab problem wide studi field oper research stochast optim reinforc learn paper consid classic mab model heavi tail reward distribut introduc extend robust ucb polici extens result bubeck et al lattimor base pioneer idea ucb polici e g auer et al previou ucb polici requir strict condit reward distribut ...
254
254
Tiago Pereira
Stability of Synchronized Motion in Complex Networks
We give a succinct and self-contained description of the synchronized motion on networks of mutually coupled oscillators. Usually, the stability criterion for the stability of synchronized motion is obtained in terms of Lyapunov exponents. We consider the fully diffusive case which is amenable to treatment in terms of ...
2025-12-03
2,025
give succinct self contain descript synchron motion network mutual coupl oscil usual stabil criterion stabil synchron motion obtain term lyapunov expon consid fulli diffus case amen treatment term uniform contract approach provid rigor yet clear concis way import result
255
255
Ivan P. Christov
Exploring quantum non-locality with de Broglie-Bohm trajectories
Here in this paper, it is shown how the quantum nonlocality reshapes probability distributions of quantum trajectories in configuration space. By variationally minimizing the ground state energy of helium atom we show that there exists an optimal nonlocal quantum correlation length which also minimizes the mean integ...
2025-02-07
2,025
paper shown quantum nonloc reshap probabl distribut quantum trajectori configur space variat minim ground state energi helium atom show exist optim nonloc quantum correl length also minim mean integr squar error smooth trajectori ensembl respect exact mani bodi wave function nonloc quantum correl length use studi stati...
256
256
R. J. Abrams, S. K. Agarwalla, A. Alekou, C. Andreopoulos, C. M. Ankenbrandt, S. Antusch, M. Apollonio, M. Aslaninejad, J. Back, P. Ballett, G. Barker, K. B. Beard, E. Benedetto, J. R. J. Bennett, J. S. Berg, S. Bhattacharya, V. Blackmore, M. Blennow, A. Blondel, A. Bogacz, M. Bonesini, C. Bontoiu, C. Booth, C. Bromber...
Interim Design Report
The International Design Study for the Neutrino Factory (the IDS-NF) was established by the community at the ninth "International Workshop on Neutrino Factories, super-beams, and beta- beams" which was held in Okayama in August 2007. The IDS-NF mandate is to deliver the Reference Design Report (RDR) for the facility on...
2025-08-01
2,025
intern design studi neutrino factori id nf establish commun ninth intern workshop neutrino factori super beam beta beam held okayama august id nf mandat deliv refer design report rdr facil timescal addit mandat studi requir interim design report deliv midway project step way rdr document idr two function mark point id ...
257
257
Goulwen Fichou (IRMAR), Johannes Huisman (LM), Fr\'ed\'eric Mangolte (LAREMA), Jean-Philippe Monnier (LAREMA)
Fonctions R\'egulues
We study the ring of rational functions admitting a continuous extension to the real affine space. We establish several properties of this ring. In particular, we prove a strong Nullstelensatz. We study the scheme theoretic properties and prove regulous versions of Theorems A and B of Cartan. We also give a geometrical...
2025-05-26
2,025
studi ring ration function admit continu extens real affin space establish sever properti ring particular prove strong nullstelensatz studi scheme theoret properti prove regul version theorem b cartan also give geometr character prime ideal ring term zero locu relat euclidean close zariski construct set
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258
Douglas J. LaFountain, R. C. Penner
Filtered screens and augmented Teichm\"uller space
We study a new bordification of the decorated Teichm\"uller space for a multiply punctured surface F by a space of filtered screens on the surface that arises from a natural elaboration of earlier work of McShane-Penner. We identify necessary and sufficient conditions for paths in this space of filtered screens to yi...
2025-03-07
2,025
studi new bordif decor teichm uller space multipli punctur surfac f space filter screen surfac aris natur elabor earlier work mcshane penner identifi necessari suffici condit path space filter screen yield short curv vanish length underli surfac f result appropri quotient space filter screen f yield decor augment teich...
259
259
Monique Dauge (IRMAR), Yvon Lafranche (IRMAR), Nicolas Raymond (IRMAR)
Quantum waveguides with corners
The simplest modeling of planar quantum waveguides is the Dirichlet eigenproblem for the Laplace operator in unbounded open sets which are uniformly thin in one direction. Here we consider V-shaped guides. Their spectral properties depend essentially on a sole parameter, the opening of the V. The free energy band is a ...
2025-08-01
2,025
simplest model planar quantum waveguid dirichlet eigenproblem laplac oper unbound open set uniformli thin one direct consid v shape guid spectral properti depend essenti sole paramet open v free energi band semi infinit interv bound soon v flat bound state free energi band finit number depend open number tend infin ope...
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260
Ziyad Ghaouche
3D Finite Element Analysis of HMA Overlay Mix Design to Control Reflective Cracking
This study examines the effectiveness of HMA overlay design strategies for the purpose of controlling the development of reflective cracking. A parametric study was conducted using a 3D Finite Element (FE) model of a rigid pavement section including Linear Viscoelastic (LVE) material properties for the Hot Mix Asphal...
2025-05-14
2,025
studi examin effect hma overlay design strategi purpos control develop reflect crack parametr studi conduct use finit element fe model rigid pavement section includ linear viscoelast lve materi properti hot mix asphalt hma overlay non uniform tire pavement contact stress sever asphalt mixtur test surfac intermedi level...
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261
Meera Sitharam, Menghan Wang, William Sims, Heping Gao
Cayley Configuration Spaces of a Common Class of Mechanisms in Two Dimensions
We study Cayley configuration spaces of a class of 1 degree-of-freedom linkages (graphs with specified edge lengths), obtained by dropping an edge from a tree-decomposable graph. The class includes well-known mechanisms based on the four-bar, as well as strandbeest, cardioid, limacon etc. The Cayley configuration space...
2025-11-04
2,025
studi cayley configur space class degre freedom linkag graph specifi edg length obtain drop edg tree decompos graph class includ well known mechan base four bar well strandbeest cardioid limacon etc cayley configur space set interv attain length emph base nonedg e g drop edg linkag dimension realiz requir emph quadrat ...
262
262
Ursula Hamenst\"adt
Symbolic dynamics for the Teichmueller flow
Let Q be a component of a stratum of abelian or quadratic differentials on an oriented surface of genus $g\geq 0$ with $m\geq 0$ punctures and $3g-3+m\geq 2$. We construct a subshift of finite type $(\Omega,\sigma)$ and a Borel suspension of $(\Omega,\sigma)$ which admits a finite-to-one semi-conjugacy into the Teich...
2025-04-15
2,025
let q compon stratum abelian quadrat differenti orient surfac genu g geq geq punctur g geq construct subshift finit type omega sigma borel suspens omega sigma admit finit one semi conjugaci teichmuel flow phi q use show phi invari lebesgu measur q uniqu measur maxim entropi
263
263
Youssef Alaoui
Increasing unions of Stein spaces with singularities
We show that if $X$ is a Stein space and, if $\Omega \subset X$ is exhaustable by a sequence $\Omega_1 \subset \Omega_2 \subset \ldots \subset \Omega_n \subset \ldots$ of open Stein subsets of $X$, then $\Omega$ is Stein. This generalizes a well-known result of Behnke and Stein which is obtained for $X=\mathbb{C}^n$ an...
2025-10-17
2,025
show x stein space omega subset x exhaust sequenc omega subset omega subset ldot subset omega n subset ldot open stein subset x omega stein gener well known result behnk stein obtain x mathbb c n solv union problem one classic question complex analyt geometri x dimens prove result follow assum omega subset subset x dom...
264
264
Eugene B. Kolomeisky and Joseph P. Straley
Aharonov-Bohm magnetism and Landau diamagnetism in semimetals
We compute the magnetic response of hollow semimetal cylinders and rings to the presence of an axial Aharonov-Bohm magnetic flux, in the absence of interactions. We predict nullification of the Aharonov-Bohm effect for a class of dispersion laws that includes "non-relativistic" dispersion and demonstrate that at zero...
2025-03-03
2,025
comput magnet respons hollow semimet cylind ring presenc axial aharonov bohm magnet flux absenc interact predict nullif aharonov bohm effect class dispers law includ non relativist dispers demonstr zero flux ground state short armchair graphen tube exhibit ferromagnet broken symmetri also comput diamagnet respons bulk ...
265
265
Mikhail Tyaglov
On the spectra of Schwarz matrices with certain sign patterns
The direct and inverse spectral problems are solved for a wide subclass of the class of Schwarz matrices. A connection between the Schwarz matrices and the so-called generalized Hurwitz polynomials is found. The known results due to H. Wall and O. Holtz are briefly reviewed and obtained as particular cases.
2025-07-01
2,025
direct invers spectral problem solv wide subclass class schwarz matric connect schwarz matric call gener hurwitz polynomi found known result due h wall holtz briefli review obtain particular case
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266
Yi Hu, Jun Li, and Jingchen Niu
Genus Two Stable Maps, Local Equations and Modular Resolutions
We provide a geometric construction of a sequence of modular blowups of the Artin stack parameterizing pre-stable pairs consisting of a genus-two nodal curve and a smooth divisor. The resulting stack locally diagonalizes the tautological derived objects associated with the moduli of stable maps from genus-two curves to...
2025-09-08
2,025
provid geometr construct sequenc modular blowup artin stack parameter pre stabl pair consist genu two nodal curv smooth divisor result stack local diagon tautolog deriv object associ moduli stabl map genu two curv project space consequ singular main compon moduli space stabl map resolv entir space admit normal cross si...
267
267
Ziyad Ghaouche
Performance Analysis and Optimization of Dowels in Jointed Concrete Floors
This study examines the performance of traditional round dowels in concrete floors and attempts to optimize the design of dowels through Finite Element (FE) analysis. A new type of Double-Tapered Round (DTR) dowels is proposed, and the performance of DTR dowels is compared to that of traditional cylindrical dowels. L...
2025-05-14
2,025
studi examin perform tradit round dowel concret floor attempt optim design dowel finit element fe analysi new type doubl taper round dtr dowel propos perform dtr dowel compar tradit cylindr dowel linear elast le analysi perform abaqu v order identifi optim geometri dtr dowel would achiev highest load transfer across ad...
268
268
Tang Suye
Thermodynamics: Extending and Reconstructing of Classical Theoretical Framework
The deep problems caused from the limitations of theoretical framework itself can only be clarified by extending and reconstructing of the theoretical framework, we extend classical theoretical framework of thermodynamics, break through the limitations of traditional theory, discuss the unsolvable problems in classic...
2025-01-17
2,025
deep problem caus limit theoret framework clarifi extend reconstruct theoret framework extend classic theoret framework thermodynam break limit tradit theori discuss unsolv problem classic theoret framework introduc new state function describ energi thermal motion last undefin form intern energi find three independ for...
269
269
Xin Li and Wolfgang L\"uck
K-theory for ring C*-algebras - the case of number fields with higher roots of unity
We compute K-theory for ring C*-algebras in the case of higher roots of unity and thereby completely determine the K-theory for ring C*-algebras attached to rings of integers in arbitrary number fields.
2025-04-08
2,025
comput k theori ring c algebra case higher root uniti therebi complet determin k theori ring c algebra attach ring integ arbitrari number field
270
270
Ant\'onio Machiavelo and Lu\'is Ro\c{c}adas
Some Connections Between The Arithmetic and The Geometry of Lipschitz Integers
Some relationships between the arithmetic and the geometry of Lipschitz and Hurwitz integers are presented. In particular, it is shown that the (ternary) vector product of a Lipschitz integer $\alpha$ with two other Lipschitz integers, both orthogonal to $\alpha$, is a left and also a right multiple of $\alpha$, and th...
2025-08-05
2,025
relationship arithmet geometri lipschitz hurwitz integ present particular shown ternari vector product lipschitz integ alpha two lipschitz integ orthogon alpha left also right multipl alpha vector product two left multipl alpha lipschitz integ still left multipl alpha also provid new arithmet proof old result gordon pa...
271
271
Monique Dauge (IRMAR), Nicolas Raymond (IRMAR)
Plane waveguides with corners in the small angle limit
The plane waveguides with corners considered here are infinite V-shaped strips with constant thickness. They are parametrized by their sole opening angle. We study the eigenpairs of the Dirichlet Laplacian in such domains when this angle tends to 0. We provide multi-scale asymptotics for eigenpairs associated with the ...
2025-08-01
2,025
plane waveguid corner consid infinit v shape strip constant thick parametr sole open angl studi eigenpair dirichlet laplacian domain angl tend provid multi scale asymptot eigenpair associ lowest eigenvalu investig eigenpair one dimension model view born oppenheim approxim also investig dirichlet laplacian triangl sharp...
272
272
S .N. Andrianov, and S. A. Moiseev
Magnon qubit on double Bose-Einstein condensate
We have proposed a magnon qubit based on coupled configuration of Bose-Einstein condensates (BEC) in two ferromagnetic samples placed closely to each other. We have evaluated the magnon BEC qubit realization in the double BEC scheme where we found a quantum synchronism condition providing an effective Hamiltonian of ...
2025-02-06
2,025
propos magnon qubit base coupl configur bose einstein condens bec two ferromagnet sampl place close evalu magnon bec qubit realiz doubl bec scheme found quantum synchron condit provid effect hamiltonian magnon qubit form well known superconduct josephson qubit possibl coher magnon bec qubit rotat analyz implement magno...
273
273
J. Z. Bern\'ad, G. Alber
Photon-assisted entanglement creation by minimum-error generalized quantum measurements in the strong coupling regime
We explore possibilities of entangling two distant material qubits with the help of an optical radiation field in the regime of strong quantum electrodynamical coupling with almost resonant interaction. For this purpose the optimum generalized field measurements are determined which are capable of preparing a two-qubit...
2025-10-10
2,025
explor possibl entangl two distant materi qubit help optic radiat field regim strong quantum electrodynam coupl almost reson interact purpos optimum gener field measur determin capabl prepar two qubit bell state postselect minimum error demonstr strong coupl regim recent found limit non reson weak coupl regim circumv s...
274
274
Thad G. Walker and Mark Saffman
Entanglement of Two Atoms using Rydberg Blockade
Over the past few years we have built an apparatus to demonstrate the entanglement of neutral Rb atoms at optically resolvable distances using the strong interactions between Rydberg atoms. Here we review the basic physics involved in this process: loading of single atoms into individual traps, state initialization, st...
2025-11-18
2,025
past year built apparatu demonstr entangl neutral rb atom optic resolv distanc use strong interact rydberg atom review basic physic involv process load singl atom individu trap state initi state readout singl atom rotat blockad mediat manipul rydberg atom demonstr entangl
275
275
Mireille Bousquet-M\'elou (LaBRI), Guillaume Chapuy (LIAFA), Louis-Fran\c{c}ois Pr\'eville-Ratelle
The representation of the symmetric group on m-Tamari intervals
An m-ballot path of size n is a path on the square grid consisting of north and east unit steps, starting at (0,0), ending at (mn,n), and never going below the line {x=my}. The set of these paths can be equipped with a lattice structure, called the m-Tamari lattice and denoted by T_n^{m}, which generalizes the usual ...
2025-04-11
2,025
ballot path size n path squar grid consist north east unit step start end mn n never go line x set path equip lattic structur call tamari lattic denot n gener usual tamari lattic n obtain lattic introduc f bergeron connect studi diagon coinvari space three set n variabl represent symmetr group n space conjectur close r...
276
276
Irina Kmit
Smoothing effect and Fredholm property for first-order hyperbolic PDEs
We give an exposition of recent results on regularity and Fredholm properties for first-order one-dimensional hyperbolic PDEs. We show that large classes of boundary operators cause an effect that smoothness increases with time. This property is the key in finding regularizers (parametrices) for hyperbolic problems. We...
2025-12-10
2,025
give exposit recent result regular fredholm properti first order one dimension hyperbol pde show larg class boundari oper caus effect smooth increas time properti key find regular parametric hyperbol problem construct regular period problem dissip first order linear hyperbol pde show problem model fredholm oper index z...
277
277
Susumu Oda
On The Jacobian Conjecture and Open Embeddings of Affine Spaces in Affine Varieties
Our goal is to settle the following faded problem: The Jacobian Conjecture (JC_n): If f_1,..,f_n are elements in a polynomial ring k[X_1,..,X_n] over a field k of characteristic 0 such that det(\partial f_i/ \partial X_j) is a nonzero constant, then k[f_1,..,f_n] = k[X_1,..,X_n]. For this purpose, we generalize it to...
2025-11-18
2,025
goal settl follow fade problem jacobian conjectur jc n f f n element polynomi ring k x x n field k characterist det partial f partial x j nonzero constant k f f n k x x n purpos gener follow deep jacobian conjectur djc let varphi rightarrow unramifi homomorph noetherian domain time varphi time assum factori algebra sim...
278
278
Mireille Bousquet-M\'elou (LaBRI), Guillaume Chapuy (LIAFA)
The vertical profile of embedded trees
Consider a rooted binary tree with n nodes. Assign with the root the abscissa 0, and with the left (resp. right) child of a node of abscissa i the abscissa i-1 (resp. i+1). We prove that the number of binary trees of size n having exactly n_i nodes at abscissa i, for l =< i =< r (with n = sum_i n_i), is $$ \frac{n_0}...
2025-04-11
2,025
consid root binari tree n node assign root abscissa left resp right child node abscissa abscissa resp prove number binari tree size n exactli n node abscissa l r n sum n frac n n l n r n n choos n prod l le le r atop n n choos n n l n r sequenc n l n n n r call vertic profil tree vertic profil uniform random tree size ...
279
279
Benedict Leimkuhler and Charles Matthews
Rational Construction of Stochastic Numerical Methods for Molecular Sampling
In this article, we focus on the sampling of the configurational Gibbs-Boltzmann distribution, that is, the calculation of averages of functions of the position coordinates of a molecular $N$-body system modelled at constant temperature. We show how a formal series expansion of the invariant measure of a Langevin dyn...
2025-04-30
2,025
articl focu sampl configur gibb boltzmann distribut calcul averag function posit coordin molecular n bodi system model constant temperatur show formal seri expans invari measur langevin dynam numer method obtain straightforward way use baker campbel hausdorff lemma compar langevin dynam integr term invari distribut dem...
280
280
Cyril Houdayer
A class of ${\rm II_1}$ factors with an exotic abelian maximal amenable subalgebra
We show that for every mixing orthogonal representation $\pi : \Z \to \mathcal O(H_\R)$, the abelian subalgebra $\LL(\Z)$ is maximal amenable in the crossed product ${\rm II}_1$ factor $\Gamma(H_\R)\dpr \rtimes_\pi \Z$ associated with the free Bogoljubov action of the representation $\pi$. This provides uncountably man...
2025-07-17
2,025
show everi mix orthogon represent pi z mathcal h r abelian subalgebra z maxim amen cross product rm ii factor gamma h r dpr rtime pi z associ free bogoljubov action represent pi provid uncount mani non isomorph bimodul disjoint coars bimodul form ominu subset maxim amen masa rm ii factor
281
281
Igor Proudnikov
The Necessary and Sufficient Conditions for Representing Lipschitz Bivariate Functions as a Difference of Two Convex Functions(corrected)
In the article the necessary and sufficient conditions for a representation of Lipschitz function of two variables as a difference of two convex functions are formulated. An algorithm of this representation is given. The outcome of this algorithm is a sequence of pairs of convex functions that converge uniformly to a...
2025-02-07
2,025
articl necessari suffici condit represent lipschitz function two variabl differ two convex function formul algorithm represent given outcom algorithm sequenc pair convex function converg uniformli pair convex function condit formul theorem satisfi geometr interpret also given
282
282
Edward Mieczkowski
The arithmetic of simplices
This paper continues the study initiated in "The aithmetic of Triangles." We begin by examining a set of similar tetrahedra with parallel sides, together with a set of points in three-dimensional space. It turns out that the set $\mathbb{R}_3= \{\pm <x >=\pm (x^3,x^2,x,1); x\in\mathbb{R} \}$ effectively characterizes t...
2025-09-18
2,025
paper continu studi initi aithmet triangl begin examin set similar tetrahedra parallel side togeth set point three dimension space turn set mathbb r pm x pm x x x x mathbb r effect character famili tetrahedra set mathbb r subset ring mathbb r mathbb r time mathbb r time mathbb r time mathbb r x z w x z w mathbb r addit...
283
283
Russell Avdek
Liouville hypersurfaces and connect sum cobordisms
The purpose of this paper is to introduce Liouville hypersurfaces in contact manifolds, which generalize ribbons of Legendrian graphs and pages of supporting open books. Liouville hypersurfaces are used to define a gluing operation for contact manifolds called the Liouville connect sum. Performing this operation on a c...
2025-07-16
2,025
purpos paper introduc liouvil hypersurfac contact manifold gener ribbon legendrian graph page support open book liouvil hypersurfac use defin glu oper contact manifold call liouvil connect sum perform oper contact manifold xi give exact mani case weinstein cobord whose concav boundari xi whose convex boundari surger ma...
284
284
Guilherme Pumi and S\'ilvia R. C. Lopes
Parameterization of Copulas and Covariance Decay of Stochastic Processes
In this work we study the problem of constructing stochastic processes with a predetermined covariance decay by parameterizing its marginals and a given family of copulas. We show that the proposed methodology is compatibility-free and present several examples to illustrate the theory, including the important Gaussian ...
2025-07-01
2,025
work studi problem construct stochast process predetermin covari decay parameter margin given famili copula show propos methodolog compat free present sever exampl illustr theori includ import gaussian euclidean famili copula associ theori common appli time seri model
285
285
Sergey Artyukhin, Kris T. Delaney, Nicola A. Spaldin and Maxim Mostovoy
Landau theory of topological defects in multiferroic hexagonal manganites
Topological defects in ordered states with spontaneously broken symmetry often have unusual physical properties, such as fractional electric charge or a quantised magnetic field-flux, originating from their non-trivial topology. Coupled topological defects in systems with several coexisting orders give rise to unconven...
2025-06-10
2,025
topolog defect order state spontan broken symmetri often unusu physic properti fraction electr charg quantis magnet field flux origin non trivial topolog coupl topolog defect system sever coexist order give rise unconvent function electr field control magnetis multiferro result coupl ferroelectr ferromagnet domain wall...
286
286
Mariana Cornelissen and C\'esar Polcino Milies
Finitely Generated Groups $G$ such that $G/Z(G) \simeq C_p \times C_p$
Finite groups $G$ such that $G/Z(G) \simeq C_2 \times C_2$ where $C_2$ denotes a cyclic group of order 2 and $Z(G)$ is the center of $G$ were studied in \cite{casofinito} and were used to classify finite loops with alternative loop algebras. In this paper we extend this result to finitely generated groups such that $G/...
2025-06-23
2,025
finit group g g z g simeq c time c c denot cyclic group order z g center g studi cite casofinito use classifi finit loop altern loop algebra paper extend result finit gener group g z g simeq c p time c p c p denot cyclic group prime order p provid explicit descript group
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Mariana Cornelissen and Cesar Polcino Milies
Classifying Finitely Generated Indecomposable RA Loops
In 1995, E. Jespers, G. Leal and C. Polcino Milies classified all finite ring alternative loops (RA loops for short) which are not direct products of proper subloops. In this paper we extend this result to finitely generated RA loops and provide an explicit description of all such loops.
2025-06-23
2,025
e jesper g leal c polcino mili classifi finit ring altern loop ra loop short direct product proper subloop paper extend result finit gener ra loop provid explicit descript loop
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S. Sagitov, B. Mehlig, P. Jagers, and V. Vatutin
Evolutionary branching in a stochastic population model with discrete mutational steps
Evolutionary branching is analysed in a stochastic, individual-based population model under mutation and selection. In such models, the common assumption is that individual reproduction and life career are characterised by values of a trait, and also by population sizes, and that mutations lead to small changes in trai...
2025-10-01
2,025
evolutionari branch analys stochast individu base popul model mutat select model common assumpt individu reproduct life career characteris valu trait also popul size mutat lead small chang trait valu tradit evolutionari dynam studi limit vanish mutat step size present approach small non neglig mutat step consid mean th...
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Antoine Chambert-Loir, Antoine Ducros
Formes diff\'erentielles r\'eelles et courants sur les espaces de Berkovich
We define a theory of real $(p,q)$-forms and currents on Berkovich spaces which is parallel to the theory of differential forms on complex spaces. It is based on Lagerberg's theory of superforms in tropical geometry and on the consideration of tropicalization maps and skeleta on domains of non archimedean analytic spac...
2025-07-29
2,025
defin theori real p q form current berkovich space parallel theori differenti form complex space base lagerberg theori superform tropic geometri consider tropic map skeleta domain non archimedean analyt space sens berkovich construct canon calibr skeleta analyt space give rise integr n n form variant stoke formula theo...
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Robert Brame, Michael G. Turner, Raymond Paternoster
Surveying Residential Burglaries: A Case Study of Local Crime Measurement
We consider the problem of estimating the incidence of residential burglaries that occur over a well-defined period of time within the 10 most populous cities in North Carolina. Our analysis typifies some of the general issues that arise in estimating and comparing local crime rates over time and for different cities...
2025-04-14
2,025
consid problem estim incid residenti burglari occur well defin period time within popul citi north carolina analysi typifi gener issu aris estim compar local crime rate time differ citi typic inform crime incid within particular citi citi polic depart tell us polic count describ crime come attent address studi combin i...
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Kasper J. Larsen
Global Poles of the Two-Loop Six-Point N=4 SYM integrand
Recently, a recursion relation has been developed, generating the four-dimensional integrand of the amplitudes of N=4 supersymmetric Yang-Mills theory for any number of loops and legs. In this paper, I provide a comparison of the prediction for the two-loop six-point maximally helicity-violating (MHV) integrand again...
2025-05-08
2,025
recent recurs relat develop gener four dimension integrand amplitud n supersymmetr yang mill theori number loop leg paper provid comparison predict two loop six point maxim helic violat mhv integrand result obtain use lead singular method comparison perform numer larg number randomli select momenta case find agreement ...
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Hiroki Ohta
Lane formation in a lattice model for oppositely driven binary particles
Oppositely driven binary particles with repulsive interactions on the square lattice are investigated at the zero-temperature limit. Two classes of steady states related to stuck configurations and lane formations have been constructed in systematic ways under certain conditions. A mean-field type analysis carried ou...
2025-01-06
2,025
opposit driven binari particl repuls interact squar lattic investig zero temperatur limit two class steadi state relat stuck configur lane format construct systemat way certain condit mean field type analysi carri use percol problem base construct steadi state provid estim phase diagram qualit consist numer simul finit...
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Simon Caron-Huot and Kasper J. Larsen
Uniqueness of two-loop master contours
Generalized-unitarity calculations of two-loop amplitudes are performed by expanding the amplitude in a basis of master integrals and then determining the coefficients by taking a number of generalized cuts. In this paper, we present a complete classification of the solutions to the maximal cut of integrals with the ...
2025-05-08
2,025
gener unitar calcul two loop amplitud perform expand amplitud basi master integr determin coeffici take number gener cut paper present complet classif solut maxim cut integr doubl box topolog idea present expect relev two loop topolog well find maxim cut solut natur associ riemann surfac whose topolog determin number s...
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Anne Chapuis, Tom Tetzlaff
The variability of tidewater-glacier calving: origin of event-size and interval distributions
Calving activity at the termini of tidewater glaciers produces a wide range of iceberg sizes at irregular intervals. We present calving-event data obtained from continuous observations of the termini of two tidewater glaciers on Svalbard, and show that the distributions of event sizes and inter-event intervals can be r...
2025-09-03
2,025
calv activ termini tidewat glacier produc wide rang iceberg size irregular interv present calv event data obtain continu observ termini two tidewat glacier svalbard show distribut event size inter event interv reproduc simpl calv model focus mutual interplay calv destabil glacier terminu event size distribut field mode...
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Jonathan E. Moussa, Noa Marom, Na Sai, James R. Chelikowsky
Theoretical Design of a Shallow Donor in Diamond by Lithium-Nitrogen Codoping
We propose a new substitutional impurity complex in diamond composed of a lithium atom that is tetrahedrally coordinated by four nitrogen atoms (LiN_4). Density functional calculations are consistent with the hydrogenic impurity model, both supporting the prediction that this complex is a shallow donor with an activati...
2025-10-07
2,025
propos new substitut impur complex diamond compos lithium atom tetrahedr coordin four nitrogen atom lin densiti function calcul consist hydrogen impur model support predict complex shallow donor activ energi ev three path experiment realiz lin complex diamond propos theoret analyz
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Louis Labuschagne
Multipliers on Noncommutative Orlicz Spaces
We establish very general criteria for the existence of multiplication operators between noncommutative Orlicz spaces $L^{\psi_0}(\tM)$ and $L^{\psi_1}(\tM)$. We then show that these criteria contain existing results, before going on to briefly look at the extent to which the theory of multipliers on Orlicz spaces di...
2025-03-19
2,025
establish gener criteria exist multipl oper noncommut orlicz space l psi tm l psi tm show criteria contain exist result go briefli look extent theori multipli orlicz space differ l p space close describ compact properti oper
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Georg Schildbach, Lorenzo Fagiano, Manfred Morari
Randomized Solutions to Convex Programs with Multiple Chance Constraints
The scenario-based optimization approach (`scenario approach') provides an intuitive way of approximating the solution to chance-constrained optimization programs, based on finding the optimal solution under a finite number of sampled outcomes of the uncertainty (`scenarios'). A key merit of this approach is that it ne...
2025-10-02
2,025
scenario base optim approach scenario approach provid intuit way approxim solut chanc constrain optim program base find optim solut finit number sampl outcom uncertainti scenario key merit approach neither assum knowledg uncertainti set common robust optim probabl distribut usual requir stochast optim moreov scenario a...
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Nakul Verma, Samory Kpotufe, Sanjoy Dasgupta
Which Spatial Partition Trees are Adaptive to Intrinsic Dimension?
Recent theory work has found that a special type of spatial partition tree - called a random projection tree - is adaptive to the intrinsic dimension of the data from which it is built. Here we examine this same question, with a combination of theory and experiments, for a broader class of trees that includes k-d tre...
2025-03-27
2,025
recent theori work found special type spatial partit tree call random project tree adapt intrins dimens data built examin question combin theori experi broader class tree includ k tree dyadic tree pca tree motiv get feel kind intrins low dimension structur empir verifi ii extent spatial partit exploit structur iii impl...
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Yi-Zhi Huang
Meromorphic open-string vertex algebras and Riemannian manifolds
Let $M$ be a Riemannian manifold. For $p$ in $M$, the tensor algebra of the negative part of the (complex) affinization of the tangent space of $M$ at $p$ has a natural structure of a meromorphic open-string vertex algebra. These meromorphic open-string vertex algebras form a vector bundle over $M$ with a connection. W...
2025-09-16
2,025
let riemannian manifold p tensor algebra neg part complex affin tangent space p natur structur meromorph open string vertex algebra meromorph open string vertex algebra form vector bundl connect construct sheaf mathcal v meromorph open string vertex algebra sheaf parallel section vector bundl use covari deriv construct...