Mathematical Physics, Analysis and Geometry最新文献

Degenerations of the Fourth Order q-Garnier System Arising from Confluences in Quivers 颤振中汇聚引起的四阶q-Garnier系统的退化

IF 1.2 3区数学

Mathematical Physics, Analysis and Geometry Pub Date : 2026-10-16 DOI: 10.1007/s11040-026-09595-7

Kazuya Matsugashita, Takao Suzuki, Satoshi Tsuchimi

引用次数: 0

Connection Problem of q-linear Equations and the q-Painlevé Third Equation q-线性方程与q- painlelevel3方程的连接问题

IF 1.2 3区数学

Mathematical Physics, Analysis and Geometry Pub Date : 2026-10-05 DOI: 10.1007/s11040-026-09593-9

Yousuke Ohyama

引用次数: 0

The Stability for F-Yang-Mills Functional on (mathbb {C}P^n) F-Yang-Mills泛函的稳定性 (mathbb {C}P^n)

IF 1.2 3区数学

Mathematical Physics, Analysis and Geometry Pub Date : 2026-09-24 DOI: 10.1007/s11040-026-09592-w

Yang Wen

引用次数: 0

Quantum Markov Chains for an Asymmetric Mixed Ising–XY Model on a Cayley Tree Cayley树上不对称混合isingxy模型的量子Markov链

IF 1.2 3区数学

Mathematical Physics, Analysis and Geometry Pub Date : 2026-09-22 DOI: 10.1007/s11040-026-09591-x

Farrukh Mukhamedov

{"title":"Quantum Markov Chains for an Asymmetric Mixed Ising–XY Model on a Cayley Tree","authors":"Farrukh Mukhamedov","doi":"10.1007/s11040-026-09591-x","DOIUrl":"10.1007/s11040-026-09591-x","url":null,"abstract":"<div>We study a mixed quantum Ising–XY model on the semi-infinite rooted Cayley tree of order two. For every vertex u, the edge (langle u,(u,1)rangle ) carries an XY interaction and the edge (langle u,(u,2)rangle ) carries an Ising interaction. Using the compatibility criterion for tree-indexed quantum Markov chains and consistently working with the normalized trace, we derive the translation-invariant boundary equation and compute explicitly the associated local transfer operator, namely the one-step partial-trace map which propagates successor boundary data to the parent vertex. We prove that the boundary equation has a unique positive translation-invariant solution for all (J_I,J_{XY}in mathbb {R}) and (beta >0). Hence the model admits a unique translation-invariant quantum Markov chain generated by a positive translation-invariant boundary condition. We also show that the reduced boundary-law dynamics, i.e. the induced finite-dimensional recursion for the boundary-law parameters, has no admissible periodic points of period greater than one and compute the local two-site entanglement on the natural three-site cluster of the tree.</div>","PeriodicalId":694,"journal":{"name":"Mathematical Physics, Analysis and Geometry","volume":"29 4","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149014575","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Polynomial Poisson Algebras and Superintegrable Systems from Cartan Centralisers of Types (B_3), (C_3) and (D_3) 多项式泊松代数和来自(B_3), (C_3)和类型Cartan中心的超可积系统 (D_3)

IF 1.2 3区数学

Mathematical Physics, Analysis and Geometry Pub Date : 2026-09-07 DOI: 10.1007/s11040-026-09589-5

Rutwig Campoamor-Stursberg, Danilo Latini, Ian Marquette, Junze Zhang, Yao-Zhong Zhang

{"title":"Polynomial Poisson Algebras and Superintegrable Systems from Cartan Centralisers of Types (B_3), (C_3) and (D_3)","authors":"Rutwig Campoamor-Stursberg, Danilo Latini, Ian Marquette, Junze Zhang, Yao-Zhong Zhang","doi":"10.1007/s11040-026-09589-5","DOIUrl":"10.1007/s11040-026-09589-5","url":null,"abstract":"<div>In this work, we develop a root system construction for Cartan centralisers of classical complex semisimple Lie algebras of types B, C and D, and we analyse the associated polynomial Poisson algebras completely and explicitly in the rank-three cases (B_3), (C_3), and (D_3). This rank 3 case is already highly non-trivial. For (B_n), (C_n) and (D_n), we use this new method to present the main division of cases and how the indecomposable polynomials organize into different types that can be understood via the root systems and their properties. An explicit description of all indecomposable polynomials of type (B_n) is provided only for the rank 3. We provide insight how the type A construction changes once the root system contains signed long roots and, in types (B_n) and (C_n), short or doubled roots. Thus, the directed-cycle construction for type (A_{n-1}) becomes a sign-indexed factor construction with permutation-root, long-root, and short-root generators. We develop the idea of constructing algebraic superintegrable systems and their integrals from the generators of these polynomial Poisson algebras. The resulting finite rank-three sets of generators are used to describe the inclusion relations between the corresponding finitely generated Poisson (mathbb C[mathfrak {h}^*])-algebras and to construct algebraic superintegrable systems attached to the reduction chains (mathfrak {h} subset mathfrak {so}(6,mathbb {C})), (mathfrak {h} subset mathfrak {so}(7,mathbb {C})), and (mathfrak {h} subset mathfrak {sp}(6,mathbb {C})).</div>","PeriodicalId":694,"journal":{"name":"Mathematical Physics, Analysis and Geometry","volume":"29 3","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11040-026-09589-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148926864","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Correction to: Geometric analysis of Ising Models, Part III 修正：伊辛模型的几何分析，第三部分

IF 1.2 3区数学

Mathematical Physics, Analysis and Geometry Pub Date : 2026-09-05 DOI: 10.1007/s11040-026-09583-x

Michael Aizenman

引用次数: 0

Universal Cumulants and Conformal Invariance in Annihilating Random Walks with Pair Deposition 具有对沉积的湮灭随机游动中的普适累积量和保形不变性

IF 1.2 3区数学

Mathematical Physics, Analysis and Geometry Pub Date : 2026-08-26 DOI: 10.1007/s11040-026-09588-6

D. Karevski, G. M. Schütz, A. Zahra

引用次数: 0

(L^p)-Boltzmann–Gibbs Principle via Littlewood–Paley–Stein Inequality (L^p)-由littlewood - paly - stein不等式推导的boltzmann - gibbs原理

IF 1.2 3区数学

Mathematical Physics, Analysis and Geometry Pub Date : 2026-08-25 DOI: 10.1007/s11040-026-09587-7

Tadahisa Funaki

引用次数: 0

Boundary Thermalization in Superdiffusive Energy Transport 超扩散能量输运中的边界热化

IF 1.2 3区数学

Mathematical Physics, Analysis and Geometry Pub Date : 2026-08-24 DOI: 10.1007/s11040-026-09586-8

Tomasz Komorowski, Stefano Olla

{"title":"Boundary Thermalization in Superdiffusive Energy Transport","authors":"Tomasz Komorowski, Stefano Olla","doi":"10.1007/s11040-026-09586-8","DOIUrl":"10.1007/s11040-026-09586-8","url":null,"abstract":"<div>We study energy transport in a finite one-dimensional unpinned harmonic chain with stochastic nearest-neighbor momentum exchanges and Langevin heat baths at its endpoints. Such systems are known to exhibit superdiffusive transport driven by long-wavelength acoustic modes, leading to fractional macroscopic behavior. While fractional heat equations have been rigorously derived for infinite chains, the corresponding boundary conditions for finite systems in contact with heat baths remain unclear due to the nonlocality of the fractional Laplacian. Under the superdiffusive time scaling (tsim n^{3/2}), where n is the system size, we prove that the averaged microscopic energy profile converges, as (nrightarrow +infty ), to a temperature field solving a fractional heat equation on [0, 1], with the generator given by a Neumann fractional Laplacian and additional nonlocal boundary terms induced by the heat baths. Our results provide a rigorous derivation of macroscopic boundary conditions for superdiffusive heat transport in open chains and introduce new boundary conditions for fractional Laplacians, that are motivated by a physical model.</div>","PeriodicalId":694,"journal":{"name":"Mathematical Physics, Analysis and Geometry","volume":"29 3","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11040-026-09586-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148837636","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Stochastic Heterogeneous SIR Model with Infection-Age Dependent Infectivity on Large Random Graphs 大随机图上感染年龄依赖的随机异构SIR模型

IF 1.2 3区数学

Mathematical Physics, Analysis and Geometry Pub Date : 2026-08-21 DOI: 10.1007/s11040-026-09582-y

Guodong Pang, Étienne Pardoux, Aurélien Velleret

{"title":"Stochastic Heterogeneous SIR Model with Infection-Age Dependent Infectivity on Large Random Graphs","authors":"Guodong Pang, Étienne Pardoux, Aurélien Velleret","doi":"10.1007/s11040-026-09582-y","DOIUrl":"10.1007/s11040-026-09582-y","url":null,"abstract":"<div>We study an individual-based stochastic SIR epidemic model with infection-age dependent infectivity on a large random graph, capturing individual heterogeneity and non-homogeneous connectivity. Each individual is associated with particular characteristics (for example, spatial location and age structure), which may not be i.i.d., and is represented by a particular node. The connectivities among the individuals are given by a non-homogeneous random graph, whose connecting probabilities may depend on the individual characteristics of the edge. To each individual is associated a random infectivity function of its infection age, which is allowed to depend upon the individual characteristics. We use measure-valued processes to describe the epidemic evolution dynamics, tracking the infection age of all individuals, and their associated characteristics. We consider the epidemic dynamics as the population size grows to infinity under a specific scaling of the connectivity graph related to the convergence to a graphon. In the limit, we obtain a system of measure-valued equations, which can be also represented as a PDE model on graphon, and reflects the heterogeneities in individual characteristics and social connectivity.</div>","PeriodicalId":694,"journal":{"name":"Mathematical Physics, Analysis and Geometry","volume":"29 3","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148783326","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0