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Dubrovin-Frobenius Manifolds and The Extended Weyl Group of Type B Dubrovin-Frobenius流形与B型扩展Weyl群
IF 1.1 3区 数学
Mathematical Physics, Analysis and Geometry Pub Date : 2026-05-02 DOI: 10.1007/s11040-026-09562-2
Yemo Wu, Dafeng Zuo
{"title":"Dubrovin-Frobenius Manifolds and The Extended Weyl Group of Type B","authors":"Yemo Wu,&nbsp;Dafeng Zuo","doi":"10.1007/s11040-026-09562-2","DOIUrl":"10.1007/s11040-026-09562-2","url":null,"abstract":"<div><p>We present an extension of the Weyl group of type B and obtain an analogue of Chevalley-type theorem for their invariants. We further show the existence of several different Dubrovin-Frobenius manifold structures on the corresponding orbit space and also construct Landau–Ginzburg superpotentials for these Dubrovin-Frobenius manifold structures.</p></div>","PeriodicalId":694,"journal":{"name":"Mathematical Physics, Analysis and Geometry","volume":"29 2","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147796831","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
A Lie Group Approach to a Viscoelasticity Model 粘弹性模型的李群方法
IF 1.1 3区 数学
Mathematical Physics, Analysis and Geometry Pub Date : 2026-04-27 DOI: 10.1007/s11040-026-09561-3
Alessandra Rizzo, Emanuele Sgroi
{"title":"A Lie Group Approach to a Viscoelasticity Model","authors":"Alessandra Rizzo,&nbsp;Emanuele Sgroi","doi":"10.1007/s11040-026-09561-3","DOIUrl":"10.1007/s11040-026-09561-3","url":null,"abstract":"<div><p>In this paper, we study a hyperbolic model for nonlinear viscoelasticity in one-dimensional space from the point of view of Lie symmetries. The study leads to a classification of all functional forms of the constitutive relations that admit nontrivial symmetry under physical constraints. We then use the obtained symmetries to derive reductions and some exact solutions. Finally, we apply the direct method of Bluman-Anco to construct the local conservation laws associated with the system.</p></div>","PeriodicalId":694,"journal":{"name":"Mathematical Physics, Analysis and Geometry","volume":"29 2","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147796536","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
Decay of Connection Probability in High-Dimensional Continuum Percolation 高维连续渗流中连接概率的衰减
IF 1.1 3区 数学
Mathematical Physics, Analysis and Geometry Pub Date : 2026-04-22 DOI: 10.1007/s11040-026-09559-x
Matthew Dickson, Yucheng Liu
{"title":"Decay of Connection Probability in High-Dimensional Continuum Percolation","authors":"Matthew Dickson,&nbsp;Yucheng Liu","doi":"10.1007/s11040-026-09559-x","DOIUrl":"10.1007/s11040-026-09559-x","url":null,"abstract":"<div><p>We study a percolation model on <span>(mathbb {R}^d)</span> called the random connection model. For <i>d</i> large, we use the lace expansion to prove that the critical two-point connection probability decays like <span>(|x|^{-(d-2)})</span> as <span>(|x| rightarrow infty )</span>, with possible anisotropic decay. Our proof also applies to nearest-neighbour Bernoulli percolation on <span>(mathbb {Z}^d)</span> in <span>(d ge 11)</span> and simplifies considerably the proof given by Hara in 2008. The method is based on the recent deconvolution strategy of Liu and Slade and uses an <span>(L^p)</span> version of Hara’s induction argument.</p></div>","PeriodicalId":694,"journal":{"name":"Mathematical Physics, Analysis and Geometry","volume":"29 2","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147738219","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
On Compact (eta )-Ricci-Bourguignon Solitons 论致密(eta ) -里奇-布吉尼翁孤子
IF 1.1 3区 数学
Mathematical Physics, Analysis and Geometry Pub Date : 2026-04-12 DOI: 10.1007/s11040-026-09560-4
Moctar Traore
{"title":"On Compact (eta )-Ricci-Bourguignon Solitons","authors":"Moctar Traore","doi":"10.1007/s11040-026-09560-4","DOIUrl":"10.1007/s11040-026-09560-4","url":null,"abstract":"<div><p>We investigate <span>(eta )</span>-Ricci-Bourguignon solitons on compact Riemannian manifolds. The rigidity results are proven under the condition that the solitons are Einstein manifolds. Furthermore, we provide a necessary and sufficient condition for the potential vector field on a non-trivial closed <span>(eta )</span>-Ricci-Bourguignon soliton to be Killing. Finally, we prove that if a compact, orientable and without boundary <span>(eta )</span>-Ricci-Bourguignon solitons admits a potential function satisfying the Hodge-de Rham decomposition theorem, then the potential function is harmonic.</p></div>","PeriodicalId":694,"journal":{"name":"Mathematical Physics, Analysis and Geometry","volume":"29 2","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147737449","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
Two-sided Bounds on the Point-Wise Spatial Decay of Ground States in the Renormalized Nelson Model with Confining Potentials 具有约束势的重整化Nelson模型中基态逐点空间衰减的双面边界
IF 1.1 3区 数学
Mathematical Physics, Analysis and Geometry Pub Date : 2026-04-09 DOI: 10.1007/s11040-026-09557-z
Fumio Hiroshima, Oliver Matte
{"title":"Two-sided Bounds on the Point-Wise Spatial Decay of Ground States in the Renormalized Nelson Model with Confining Potentials","authors":"Fumio Hiroshima,&nbsp;Oliver Matte","doi":"10.1007/s11040-026-09557-z","DOIUrl":"10.1007/s11040-026-09557-z","url":null,"abstract":"<div><p>We study the renormalized Nelson model for a scalar matter particle in a continuous confining potential interacting with a possibly massless quantized radiation field. When the radiation field is massless we impose a mild infrared regularization ensuring that the Nelson Hamiltonian has a non-degenerate ground state in all considered cases. Employing Feynman–Kac representations, we derive lower bounds on the point-wise spatial decay of the partial Fock space norms of ground state eigenvectors. Here the exponential rate function governing the decay is given by the Lithner–Agmon distance familiar from the analysis of Schrödinger operators. For a large class of confining potentials, our lower bounds on the decay of ground state eigenvectors match asymptotically with the upper bounds implied by previous work of the present authors.</p></div>","PeriodicalId":694,"journal":{"name":"Mathematical Physics, Analysis and Geometry","volume":"29 2","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11040-026-09557-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147642511","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
Multidimensional Multiplicative Poisson Vertex Algebras 多维乘法泊松顶点代数
IF 1.1 3区 数学
Mathematical Physics, Analysis and Geometry Pub Date : 2026-04-04 DOI: 10.1007/s11040-026-09558-y
Pengfei Yang, Matteo Casati
{"title":"Multidimensional Multiplicative Poisson Vertex Algebras","authors":"Pengfei Yang,&nbsp;Matteo Casati","doi":"10.1007/s11040-026-09558-y","DOIUrl":"10.1007/s11040-026-09558-y","url":null,"abstract":"<div><p>In this paper we introduce the notion of multidimensional multiplicative Poisson vertex algebra, the generalization of the notion of multiplicative Poisson vertex algebra to a difference algebra endowed with <span>(textrm{d})</span> commuting shifts. After showing the equivalence of this notion to the notion of Hamiltonian difference operator on a <span>(textrm{d})</span>-dimensional lattice, we characterize scalar local Hamiltonian difference operators up to the order <span>((-2,2))</span> and investigate the bi-Hamiltonian pairs they form.</p></div>","PeriodicalId":694,"journal":{"name":"Mathematical Physics, Analysis and Geometry","volume":"29 2","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147606952","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
Invariant Volume Form for 3D QRT Maps 三维QRT地图的不变体积形式
IF 1.1 3区 数学
Mathematical Physics, Analysis and Geometry Pub Date : 2026-03-29 DOI: 10.1007/s11040-026-09556-0
Jaume Alonso, Yuri B. Suris
{"title":"Invariant Volume Form for 3D QRT Maps","authors":"Jaume Alonso,&nbsp;Yuri B. Suris","doi":"10.1007/s11040-026-09556-0","DOIUrl":"10.1007/s11040-026-09556-0","url":null,"abstract":"<div><p>Recently, we proposed a three-dimensional generalization of QRT maps. These novel maps can be associated with pairs of pencils of quadrics in <span>(mathbb {P}^3)</span>. By construction, these maps have two rational integrals (parameters of both pencils). In the present paper, we find an invariant volume form for these maps, thus finally establishing their integrability.</p></div>","PeriodicalId":694,"journal":{"name":"Mathematical Physics, Analysis and Geometry","volume":"29 2","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11040-026-09556-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147607280","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
Robustness of Topological Phases on Aperiodic Lattices 非周期格上拓扑相的鲁棒性。
IF 1.1 3区 数学
Mathematical Physics, Analysis and Geometry Pub Date : 2026-03-16 DOI: 10.1007/s11040-026-09547-1
Yuezhao Li
{"title":"Robustness of Topological Phases on Aperiodic Lattices","authors":"Yuezhao Li","doi":"10.1007/s11040-026-09547-1","DOIUrl":"10.1007/s11040-026-09547-1","url":null,"abstract":"<div><p>We study the robustness of topological phases on aperiodic lattices by constructing *-homomorphisms from the groupoid model to the coarse-geometric model of observable C*-algebras. These *-homomorphisms induce maps in K-theory and Kasparov theory. We show that the strong topological phases in the groupoid model are detected by position spectral triples. We show that topological phases coming from stacking along another Delone set are always weak in the coarse-geometric sense.</p></div>","PeriodicalId":694,"journal":{"name":"Mathematical Physics, Analysis and Geometry","volume":"29 2","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12992486/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147479439","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
Discrete Nonlinear Schrödinger Type Equations: Solutions and Continuum Limits 离散非线性Schrödinger型方程：解和连续体极限
IF 1.1 3区 数学
Mathematical Physics, Analysis and Geometry Pub Date : 2026-03-11 DOI: 10.1007/s11040-026-09555-1
Song-lin Zhao, Xiao-hui Feng, Wei Feng
{"title":"Discrete Nonlinear Schrödinger Type Equations: Solutions and Continuum Limits","authors":"Song-lin Zhao,&nbsp;Xiao-hui Feng,&nbsp;Wei Feng","doi":"10.1007/s11040-026-09555-1","DOIUrl":"10.1007/s11040-026-09555-1","url":null,"abstract":"<div><p>As local and nonlocal reductions of a discrete second-order Ablowitz-Kaup-Newell-Segur system, two discrete nonlinear Schrödinger type equations are considered. Through the bilinearization reduction method, we construct double Casoratian solutions of the reduced discrete nonlinear Schrödinger type equations, including soliton solutions and Jordan-block solutions. Dynamics of the obtained one-, two-soliton and the simplest Jordan-block solutions are analyzed and illustrated. Moreover, both semi-continuous limit and full-continuous limit, are applied to recover the local and nonlocal semi-discrete nonlinear Schrödinger type equations, as well as the local and nonlocal continuous nonlinear Schrödinger type equations. One-, two-soliton and the simplest Jordan-block solutions for the local and nonlocal semi-discrete nonlinear Schrödinger type equations are constructed and the corresponding dynamics are analyzed and illustrated.</p></div>","PeriodicalId":694,"journal":{"name":"Mathematical Physics, Analysis and Geometry","volume":"29 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147441089","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
On the Structure of Compact Static Vacuum Spaces and Positive Isotropic Curvature 紧致静态真空空间的结构与正各向同性曲率
IF 1.1 3区 数学
Mathematical Physics, Analysis and Geometry Pub Date : 2026-03-11 DOI: 10.1007/s11040-026-09554-2
Seungsu Hwang, Gabjin Yun
{"title":"On the Structure of Compact Static Vacuum Spaces and Positive Isotropic Curvature","authors":"Seungsu Hwang,&nbsp;Gabjin Yun","doi":"10.1007/s11040-026-09554-2","DOIUrl":"10.1007/s11040-026-09554-2","url":null,"abstract":"<div><p>In this paper, we study geometric structures of compact static vacuum spaces and function theoretic properties for the potential functions satisfying the static vacuum equation. In particular, we investigate geometric conditions under which static vacuum spaces are warped product and Bach-flat. As an application, we prove that if a triple <span>((M^n, g, f), n ge 4)</span>, is a compact static vacuum space satisfying <span>(omega :=df wedge i_{nabla f}{mathring{textrm{Ric}}} = 0)</span>, then <i>M</i> is either isometric to a round sphere or a warped product of a circle with a compact Einstein manifold of positive Ricci curvature, up to finite cover. Furthermore, if (<i>M</i>, <i>g</i>) has positive isotropic curvature, then <i>M</i> is either isometric to a round sphere or a product <span>({mathbb {S}}^1 times {mathbb {S}}^{n-1}.)</span></p></div>","PeriodicalId":694,"journal":{"name":"Mathematical Physics, Analysis and Geometry","volume":"29 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147441090","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
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