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Communications in Mathematical Physics最新文献

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Feynman Graph Integrals on (mathbb {C}^d)
IF 2.2 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2025-04-21 DOI: 10.1007/s00220-025-05298-2
Minghao Wang
{"title":"Feynman Graph Integrals on (mathbb {C}^d)","authors":"Minghao Wang","doi":"10.1007/s00220-025-05298-2","DOIUrl":"10.1007/s00220-025-05298-2","url":null,"abstract":"<div><p>We introduce a type of graph integrals which are holomorphic analogs of configuration space integrals. We prove their (ultraviolet) finiteness by considering a compactification of the moduli space of graphs with metrics, and study their failure to be holomorphic.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"406 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143856541","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Stability of the Concentration Inequality on Polynomials
IF 2.2 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2025-04-21 DOI: 10.1007/s00220-025-05292-8
María Ángeles García-Ferrero, Joaquim Ortega-Cerdá
{"title":"Stability of the Concentration Inequality on Polynomials","authors":"María Ángeles García-Ferrero,&nbsp;Joaquim Ortega-Cerdá","doi":"10.1007/s00220-025-05292-8","DOIUrl":"10.1007/s00220-025-05292-8","url":null,"abstract":"<div><p>In this paper, we study the stability of the concentration inequality for one-dimensional complex polynomials. We provide the stability of the local concentration inequality and a global version using a Wehrl-type entropy.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"406 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-025-05292-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143856662","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Magnetic Tunneling Between Disc-Shaped Obstacles
IF 2.2 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2025-04-21 DOI: 10.1007/s00220-025-05295-5
Søren Fournais, Léo Morin
{"title":"Magnetic Tunneling Between Disc-Shaped Obstacles","authors":"Søren Fournais,&nbsp;Léo Morin","doi":"10.1007/s00220-025-05295-5","DOIUrl":"10.1007/s00220-025-05295-5","url":null,"abstract":"<div><p>In this paper we derive formulae for the semiclassical tunneling in the presence of a constant magnetic field in 2 dimensions. The ‘wells’ in the problem are identical discs with Neumann boundary conditions, so we study the magnetic Neumann Laplacian in the complement of a set of discs. We provide a reduction method to an interaction matrix, which works for a general configuration of obstacles. When there are two discs, we deduce an asymptotic formula for the spectral gap. When the discs are placed along a regular lattice, we derive an effective operator which gives rise to the famous Harper’s equation. Main challenges in this problem compared to recent results on magnetic tunneling are the fact that one-well ground states have non-trivial angular momentum which depends on the semiclassical parameter, and the existence of eigenvalue crossings.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"406 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-025-05295-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143856664","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the Asymptotic Behavior of the NNLIF Neuron Model for General Connectivity Strength 论一般连接强度下 NNLIF 神经元模型的渐近行为
IF 2.2 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2025-04-21 DOI: 10.1007/s00220-025-05287-5
María J. Cáceres, José A. Cañizo, Alejandro Ramos-Lora
{"title":"On the Asymptotic Behavior of the NNLIF Neuron Model for General Connectivity Strength","authors":"María J. Cáceres,&nbsp;José A. Cañizo,&nbsp;Alejandro Ramos-Lora","doi":"10.1007/s00220-025-05287-5","DOIUrl":"10.1007/s00220-025-05287-5","url":null,"abstract":"<div><p>We prove new results on the asymptotic behavior of the nonlinear integrate-and-fire neuron model. Among them, we give a criterion for the linearized stability or instability of equilibria, without restriction on the connectivity parameter, which provides a proof of stability or instability in some cases. In all cases, this criterion can be checked numerically, allowing us to give a full picture of the stable and unstable equilibria depending on the connectivity parameter <i>b</i> and transmission delay <i>d</i>. We also give further spectral results on the associated linear equation, and use them to give improved results on the nonlinear stability of equilibria for weak connectivity, and on the link between linearized and nonlinear stability.\u0000</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"406 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-025-05287-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143856666","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Spacetime Limit Shapes of the KPZ Equation in the Upper Tails
IF 2.2 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2025-04-21 DOI: 10.1007/s00220-025-05284-8
Yier Lin, Li-Cheng Tsai
{"title":"Spacetime Limit Shapes of the KPZ Equation in the Upper Tails","authors":"Yier Lin,&nbsp;Li-Cheng Tsai","doi":"10.1007/s00220-025-05284-8","DOIUrl":"10.1007/s00220-025-05284-8","url":null,"abstract":"<div><p>We consider the <i>n</i>-point, fixed-time large deviations of the KPZ equation with the narrow wedge initial condition. The scope consists of concave-configured, upper-tail deviations and a wide range of scaling regimes that allows time to be short, unit-order, and long. We prove the <i>n</i>-point large deviation principle and characterize, with proof, the corresponding spacetime limit shape. Our proof is based on the results—from the companion paper (Tsai in High moments of the SHE in the clustering regimes, 2023)—on moments of the stochastic heat equation and utilizes ideas coming from a tree decomposition. Behind our proof lies the phenomenon where the major contribution of the noise concentrates around certain corridors in spacetime, and we explicitly describe the corridors.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"406 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143856665","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Shattering in Pure Spherical Spin Glasses
IF 2.2 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2025-04-12 DOI: 10.1007/s00220-025-05243-3
Ahmed El Alaoui, Andrea Montanari, Mark Sellke
{"title":"Shattering in Pure Spherical Spin Glasses","authors":"Ahmed El Alaoui,&nbsp;Andrea Montanari,&nbsp;Mark Sellke","doi":"10.1007/s00220-025-05243-3","DOIUrl":"10.1007/s00220-025-05243-3","url":null,"abstract":"<div><p>We prove the existence of a shattered phase within the replica-symmetric phase of the pure spherical <i>p</i>-spin models for <i>p</i> sufficiently large. In this phase, we construct a decomposition of the sphere into well-separated small clusters, each of which has exponentially small Gibbs mass, yet which together carry all but an exponentially small fraction of the Gibbs mass. We achieve this via quantitative estimates on the derivative of the Franz–Parisi potential, which measures the Gibbs mass profile around a typical sample. Corollaries on dynamics are derived, in particular, we show the two-times correlation function of stationary Langevin dynamics must have an exponentially long plateau. We further show that shattering implies disorder chaos for the Gibbs measure in the optimal transport sense; this is known to imply failure of sampling algorithms which are stable under perturbation in the same metric.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"406 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143821776","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Heterotic Hermitian–Yang–Mills Equivalence
IF 2.2 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2025-04-10 DOI: 10.1007/s00220-025-05272-y
Jock McOrist, Sebastien Picard, Eirik Eik Svanes
{"title":"A Heterotic Hermitian–Yang–Mills Equivalence","authors":"Jock McOrist,&nbsp;Sebastien Picard,&nbsp;Eirik Eik Svanes","doi":"10.1007/s00220-025-05272-y","DOIUrl":"10.1007/s00220-025-05272-y","url":null,"abstract":"<div><p>We consider <span>(N=1)</span>, <span>(d=4)</span> vacua of heterotic theories in the large radius limit in which <span>({{alpha }^{backprime },}ll 1)</span>. We construct a real differential operator <span>(mathcal {D}= D+bar{D})</span> on an extension bundle <span>((Q, mathcal {D}))</span> with underlying topology <span>(Q=(T^{1,0}X)^* oplus textrm{End} , E oplus T^{1,0} X)</span> whose curvature is holomorphic and Hermitian–Yang–Mills with respect to the complex structure and metric on the underlying non-Kähler complex 3-fold <i>X</i> if and only if the heterotic supersymmetry equations and Bianchi identity are satisfied. This is suggestive of an analogue of the Donaldson–Uhlenbeck–Yau correspondence for heterotic vacua of this type.\u0000</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"406 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-025-05272-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143809369","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Generalization of Cardy’s and Schramm’s Formulae
IF 2.2 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2025-04-10 DOI: 10.1007/s00220-025-05255-z
Mikhail Khristoforov, Mikhail Skopenkov, Stanislav Smirnov
{"title":"A Generalization of Cardy’s and Schramm’s Formulae","authors":"Mikhail Khristoforov,&nbsp;Mikhail Skopenkov,&nbsp;Stanislav Smirnov","doi":"10.1007/s00220-025-05255-z","DOIUrl":"10.1007/s00220-025-05255-z","url":null,"abstract":"<div><p>We study critical site percolation on the triangular lattice. We find the difference of the probabilities of having a percolation interface to the right and to the left of two given points (such that the union of the triangles intersecting the interface does not separate the points) in the scaling limit. This generalizes both Cardy’s and Schramm’s formulae. The generalization involves a new interesting discrete analytic observable and an unexpected conformal mapping.\u0000</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"406 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-025-05255-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143809139","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Oscillatory Motions, Parabolic Orbits and Collision Orbits in the Planar Circular Restricted Three-Body Problem 平面圆周受限三体问题中的振荡运动、抛物线轨道和碰撞轨道
IF 2.2 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2025-04-10 DOI: 10.1007/s00220-025-05283-9
José Lamas, Marcel Guardia, Tere M. Seara
{"title":"Oscillatory Motions, Parabolic Orbits and Collision Orbits in the Planar Circular Restricted Three-Body Problem","authors":"José Lamas,&nbsp;Marcel Guardia,&nbsp;Tere M. Seara","doi":"10.1007/s00220-025-05283-9","DOIUrl":"10.1007/s00220-025-05283-9","url":null,"abstract":"<div><p>In this paper we consider the planar circular restricted three body problem (PCRTBP), which models the motion of a massless body under the attraction of other two bodies, the primaries, which describe circular orbits around their common center of mass. In a suitable system of coordinates, this is a two degrees of freedom Hamiltonian system. The orbits of this system are either defined for all (future or past) time or eventually go to collision with one of the primaries. For orbits defined for all time, Chazy provided a classification of all possible asymptotic behaviors, usually called final motions. By considering a sufficiently small mass ratio between the primaries, we analyze the interplay between collision orbits and various final motions and construct several types of dynamics. In particular, we show that orbits corresponding to any combination of past and future final motions can be created to pass arbitrarily close to the massive primary. Additionally, we construct arbitrarily large ejection-collision orbits (orbits which experience collision in both past and future times) and periodic orbits that are arbitrarily large and get arbitrarily close to the massive primary. Furthermore, we also establish oscillatory motions in both position and velocity, meaning that as time tends to infinity, the superior limit of the position or velocity is infinity while the inferior limit remains a real number.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"406 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143809138","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Operator-Valued Twisted Araki–Woods Algebras
IF 2.2 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2025-04-10 DOI: 10.1007/s00220-025-05285-7
R. Rahul Kumar, Melchior Wirth
{"title":"Operator-Valued Twisted Araki–Woods Algebras","authors":"R. Rahul Kumar,&nbsp;Melchior Wirth","doi":"10.1007/s00220-025-05285-7","DOIUrl":"10.1007/s00220-025-05285-7","url":null,"abstract":"<div><p>We introduce operator-valued twisted Araki–Woods algebras. These are operator-valued versions of a class of second quantization algebras that includes <i>q</i>-Gaussian and <i>q</i>-Araki–Woods algebras and also generalize Shlyakhtenko’s von Neumann algebras generated by operator-valued semicircular variables. We develop a disintegration theory that reduces the isomorphism type of operator-valued twisted Araki–Woods algebras over type <span>(textrm{I})</span> factors to the scalar-valued case. Moreover, these algebras come with a natural weight, and we characterize its modular theory. We also give sufficient criteria that guarantee the factoriality of these algebras.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"406 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-025-05285-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143809140","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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