Annales Henri Poincaré最新文献_第5页

Refining Ky Fan’s Majorization Relation with Linear Programming 用线性规划改进范凯的多数化关系

IF 1.3 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-06-16 DOI: 10.1007/s00023-025-01592-w

Mohammad A. Alhejji

引用次数: 0

High-Density Hard-Core Model on Triangular and Hexagonal Lattices 三角形和六边形晶格上的高密度硬核模型

IF 1.3 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-06-16 DOI: 10.1007/s00023-025-01567-x

A. Mazel, I. Stuhl, Y. Suhov

{"title":"High-Density Hard-Core Model on Triangular and Hexagonal Lattices","authors":"A. Mazel, I. Stuhl, Y. Suhov","doi":"10.1007/s00023-025-01567-x","DOIUrl":"10.1007/s00023-025-01567-x","url":null,"abstract":"<div>We perform a rigorous study of the Gibbs statistics of high-density hard-core random configurations on a unit triangular lattice (mathbb {A}_2) and a unit honeycomb graph (mathbb {H}_2), for any value of the (Euclidean) repulsion diameter (D>0). Only attainable values of D are relevant, for which (D^2=a^2+b^2+ab), (a, b in mathbb {Z}) (Löschian numbers). Depending on arithmetic properties of (D^2), we identify, for large fugacities, the pure phases (extreme Gibbs measures) and specify their symmetries. The answers depend on the way(s) an equilateral triangle of side-length D can be inscribed in (mathbb {A}_2) or (mathbb {H}_2). On (mathbb {A}_2), our approach works for all attainable (D^2); on (mathbb {H}_2) we have to exclude (D^2 = 4, 7, 31, 133), where a sliding phenomenon occurs, similar to that on a unit square lattice (mathbb {Z}^2). For all values (D^2) apart from the excluded ones, we prove the coexistence of multiple high-density pure phases. Their number grows at least as (O(D^2)); this establishes the existence of a phase transition. The proof is based on the Pirogov–Sinai theory which, in its original form, requires the verification of key assumptions: finiteness of the set of periodic ground states and the Peierls bound. To establish the Peierls bound, we develop a general method based on the concept of a redistributed area for Delaunay triangles. Some of the presented proofs are computer-assisted. As a by-product of the ground state identification, we solve the disk-packing problem on (mathbb {A}_2) and (mathbb {H}_2) for any value of the disk diameter D.</div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"26 9","pages":"3321 - 3381"},"PeriodicalIF":1.3,"publicationDate":"2025-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144990639","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Localization for Random Operators on ({mathbb {Z}}^d) with the Long-Range Hopping ({mathbb {Z}}^d)上随机算子的远程跳变定位

IF 1.3 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-06-13 DOI: 10.1007/s00023-025-01595-7

Yunfeng Shi, Li Wen, Dongfeng Yan

引用次数: 0

The Exotic Structure of the Spectral (zeta )-function for the Schrödinger Operator with Pöschl–Teller Potential 具有Pöschl-Teller势的Schrödinger算子的谱(zeta ) -函数的奇异结构

IF 1.3 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-06-11 DOI: 10.1007/s00023-025-01587-7

Guglielmo Fucci, Jonathan Stanfill

{"title":"The Exotic Structure of the Spectral (zeta )-function for the Schrödinger Operator with Pöschl–Teller Potential","authors":"Guglielmo Fucci, Jonathan Stanfill","doi":"10.1007/s00023-025-01587-7","DOIUrl":"10.1007/s00023-025-01587-7","url":null,"abstract":"<div>This work focuses on the analysis of the spectral (zeta )-function associated with a Schrödinger operator endowed with a Pöschl–Teller potential. We construct the spectral (zeta )-function using a contour integral representation and, for particular self-adjoint extensions, we perform its analytic continuation to a larger region of the complex plane. We show that the spectral (zeta )-function in these cases can possess a very unusual and remarkable structure consisting of a series of logarithmic branch points located at every nonpositive integer value of s along with infinitely many additional branch points (and finitely many simple poles) whose locations depend on the parameters of the problem. By comparing the Pöschl–Teller potential to the classic Bessel potential, we further illustrate that perturbing a given potential by a smooth potential on a finite interval can greatly affect the meromorphic structure and branch points of the spectral (zeta )-function in surprising ways.</div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"27 6","pages":"2073 - 2116"},"PeriodicalIF":1.3,"publicationDate":"2025-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00023-025-01587-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148208765","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

The Power of the Anomaly Consistency Condition for the Master Ward Identity: Conservation of the Non-Abelian Gauge Current 主病房恒等式异常一致性条件的威力：非阿贝尔规范电流的守恒

IF 1.3 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-06-08 DOI: 10.1007/s00023-025-01583-x

Michael Dütsch

引用次数: 0

Quantum Algebra of Chern-Simons Matrix Model and Large N Limit chen - simons矩阵模型的量子代数与大N极限

IF 1.3 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-06-06 DOI: 10.1007/s00023-025-01585-9

Sen Hu, Si Li, Dongheng Ye, Yehao Zhou

{"title":"Quantum Algebra of Chern-Simons Matrix Model and Large N Limit","authors":"Sen Hu, Si Li, Dongheng Ye, Yehao Zhou","doi":"10.1007/s00023-025-01585-9","DOIUrl":"10.1007/s00023-025-01585-9","url":null,"abstract":"<div>In this paper we study the algebra of quantum observables of the Chern-Simons matrix model which was originally proposed by Susskind and Polychronakos to describe electrons in fractional quantum Hall effects. We establish the commutation relations for its generators and study the large N limit of its representation. We show that the large N limit algebra is isomorphic to the uniform in N algebra studied by Costello, which is isomorphic to the deformed double current algebra studied by Guay. Under appropriate scaling limit, we show that the large N limit algebra degenerates to a Lie algebra which admits a surjective map to the affine Lie algebra of (mathfrak {u}(p)). We conjecture that the large N limit algebra acts on the large N limit Hilbert space via the aforementioned degeneration limit, and we prove this conjecture in the (p=1) case by a detailed study of large N limit Hilbert space. This leads to a complete proof of the large N emergence of the (widehat{mathfrak {u}}(p)) model as proposed by Dorey, Tong and Turner in the case (p=1). This also suggests a rigorous derivation of edge excitation of a fractional quantum Hall droplet.</div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"27 5","pages":"1607 - 1671"},"PeriodicalIF":1.3,"publicationDate":"2025-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147872273","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

On the Phase Diagram of the Multiscale Mean-Field Spin-Glass 多尺度平均场自旋玻璃的相图研究

IF 1.4 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-05-29 DOI: 10.1007/s00023-025-01584-w

Francesco Camilli, Pierluigi Contucci, Emanuele Mingione, Daniele Tantari

引用次数: 0

On the Lyapunov Exponent for the Random Field Ising Transfer Matrix, in the Critical Case 临界情况下随机场Ising传递矩阵的Lyapunov指数

IF 1.3 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-05-28 DOI: 10.1007/s00023-025-01589-5

Orphée Collin, Giambattista Giacomin, Rafael L. Greenblatt, Yueyun Hu

{"title":"On the Lyapunov Exponent for the Random Field Ising Transfer Matrix, in the Critical Case","authors":"Orphée Collin, Giambattista Giacomin, Rafael L. Greenblatt, Yueyun Hu","doi":"10.1007/s00023-025-01589-5","DOIUrl":"10.1007/s00023-025-01589-5","url":null,"abstract":"<div>We study the top Lyapunov exponent of a product of random (2 times 2) matrices appearing in the analysis of several statistical mechanical models with disorder, extending a previous treatment of the critical case (Giacomin and Greenblatt, ALEA 19 (2022), 701-728) by significantly weakening the assumptions on the disorder distribution. The argument we give completely revisits and improves the previous proof. As a key novelty we build a probability that is close to the Furstenberg probability, i.e., the invariant probability of the Markov chain corresponding to the evolution of the direction of a vector in (mathbb {R}^2) under the action of the random matrices, in terms of the ladder times of a centered random walk which is directly related to the random matrix sequence. We then show that sharp estimates on the ladder times (renewal) process lead to a sharp control on the probability measure we build and, in turn, to the control of its distance from the Furstenberg probability.</div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"27 3","pages":"1033 - 1074"},"PeriodicalIF":1.3,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00023-025-01589-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147441666","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

3D Supergravity in the Batalin–Vilkovisky Formalism Batalin-Vilkovisky形式中的三维超重力

IF 1.3 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-05-27 DOI: 10.1007/s00023-025-01588-6

A. S. Cattaneo, N. Moshayedi, A. Smailovic Funcasta

引用次数: 0

Bulk Universality for Complex Eigenvalues of Real Non-Symmetric Random Matrices with i.i.d. Entries 具有id项的实非对称随机矩阵复特征值的整体通用性

IF 1.3 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-05-26 DOI: 10.1007/s00023-025-01586-8

Sofiia Dubova, Kevin Yang

引用次数: 0