Communications in Mathematical Physics最新文献_第4页

Stochastic Bifurcations of a Three-Dimensional Stochastic Kolmogorov System 三维随机Kolmogorov系统的随机分岔

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-09-01 DOI: 10.1007/s00220-025-05427-x

Dongmei Xiao, Deng Zhang, Chenwan Zhou

{"title":"Stochastic Bifurcations of a Three-Dimensional Stochastic Kolmogorov System","authors":"Dongmei Xiao, Deng Zhang, Chenwan Zhou","doi":"10.1007/s00220-025-05427-x","DOIUrl":"10.1007/s00220-025-05427-x","url":null,"abstract":"<div><p>In this paper we systematically investigate the stochastic bifurcations of both ergodic stationary measures and stochastic dynamics for a stochastic Kolmogorov differential system by the change of the sign of Lyapunov exponents. It is derived that there exists a threshold <span>(sigma _0)</span> such that, if the noise intensity <span>(sigma ge sigma _0)</span>, the noise destroys all bifurcations of the deterministic system and the corresponding stochastic Kolmogorov system is uniquely ergodic. On the other hand, when the noise intensity <span>(0<sigma <sigma _0)</span>, there exist further bifurcation thresholds such that the stochastic system undergoes bifurcations from the unique ergodic stationary measure to three different kinds of ergodic measures: (I) finitely many ergodic measures supported on rays, (II) infinitely many ergodic measures supported on rays, (III) infinitely many ergodic measures supported on invariant cones. Correspondingly, the system undergoes stochastic bifurcations of stochastic dynamics, which even displays infinitely many Crauel random periodic solutions in the sense of Engel and Kuehn (Comm Math Phys 386(3): 1603–1641, 2021). Furthermore, we prove that as <span>(sigma )</span> tends to zero, the ergodic stationary measures converge to either Dirac measures supported on equilibria, or to Haar measures supported on non-trivial deterministic periodic orbits.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"406 10","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144923131","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

Cusp Universality for Correlated Random Matrices 相关随机矩阵的尖普适性

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-09-01 DOI: 10.1007/s00220-025-05417-z

László Erdős, Joscha Henheik, Volodymyr Riabov

{"title":"Cusp Universality for Correlated Random Matrices","authors":"László Erdős, Joscha Henheik, Volodymyr Riabov","doi":"10.1007/s00220-025-05417-z","DOIUrl":"10.1007/s00220-025-05417-z","url":null,"abstract":"<div><p>For correlated real symmetric or complex Hermitian random matrices, we prove that the local eigenvalue statistics at any cusp singularity are universal. Since the density of states typically exhibits only square root edge or cubic root cusp singularities, our result completes the proof of the Wigner–Dyson–Mehta universality conjecture in all spectral regimes for a very general class of random matrices. Previously only the bulk and the edge universality were established in this generality (Alt et al. in Ann Probab 48(2):963–1001, 2020), while cusp universality was proven only for Wigner-type matrices with independent entries (Cipolloni et al. in Pure Appl Anal 1:615–707, 2019; Erdős et al. in Commun. Math. Phys. 378:1203–1278, 2018). As our main technical input, we prove an optimal local law at the cusp using the <i>Zigzag strategy</i>, a recursive tandem of the characteristic flow method and a Green function comparison argument. Moreover, our proof of the optimal local law holds uniformly in the spectrum, thus we also provide a significantly simplified alternative proof of the local eigenvalue universality in the previously studied bulk (Erdős et al. in Forum Math. Sigma 7:E8, 2019) and edge (Alt et al. in Ann Probab 48(2):963–1001, 2020) regimes.\u0000</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"406 10","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-025-05417-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144923050","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

Extreme Value Theory and Poisson Statistics for Discrete Time Samplings of Stochastic Differential Equations 随机微分方程离散时间抽样的极值理论和泊松统计

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-09-01 DOI: 10.1007/s00220-025-05385-4

F. Flandoli, S. Galatolo, P. Giulietti, S. Vaienti

引用次数: 0

A Higher Spin-Statistics Theorem for Invertible Quantum Field Theories 可逆量子场论的高自旋统计定理

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-09-01 DOI: 10.1007/s00220-025-05405-3

Cameron Krulewski, Luuk Stehouwer, Lukas Müller

引用次数: 0

Effective Dynamics of Local Observables for Extended Fermi Gases in the High-Density Regime 高密度区扩展费米气体局部可观测值的有效动力学

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-09-01 DOI: 10.1007/s00220-025-05393-4

Luca Fresta, Marcello Porta, Benjamin Schlein

引用次数: 0

Instability of Renormalization 重整化的不稳定性

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-09-01 DOI: 10.1007/s00220-025-05432-0

Marco Martens, Björn Winckler

引用次数: 0

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-09-01 DOI: 10.1007/s00220-025-05429-9

De Huang, Xiang Qin, Xiuyuan Wang, Dongyi Wei

引用次数: 0

The Cattaneo–Christov Approximation of Fourier Heat-Conductive Compressible Fluids 傅立叶导热可压缩流体的Cattaneo-Christov近似

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-09-01 DOI: 10.1007/s00220-025-05403-5

Timothée Crin-Barat, Shuichi Kawashima, Jiang Xu

{"title":"The Cattaneo–Christov Approximation of Fourier Heat-Conductive Compressible Fluids","authors":"Timothée Crin-Barat, Shuichi Kawashima, Jiang Xu","doi":"10.1007/s00220-025-05403-5","DOIUrl":"10.1007/s00220-025-05403-5","url":null,"abstract":"<div><p>We investigate the Navier–Stokes–Cattaneo–Christov (NSC) system in <span>(mathbb {R}^d)</span> (<span>(dge 3)</span>), a model of heat-conductive compressible flows serving as a finite speed of propagation approximation of the Navier–Stokes–Fourier (NSF) system. Due to the presence of Oldroyd’s upper-convected derivatives, the system (NSC) exhibits a <i>lack of hyperbolicity</i> which makes it challenging to establish its well-posedness, especially in multi-dimensional contexts. In this paper, within a critical regularity functional framework, we prove the global-in-time well-posedness of (NSC) for initial data that are small perturbations of constant equilibria, uniformly with respect to the approximation parameter <span>(varepsilon >0)</span>. Then, building upon this result, we obtain the sharp large-time asymptotic behaviour of (NSC) and, for all time <span>(t>0)</span>, we derive quantitative error estimates between the solutions of (NSC) and (NSF). To the best of our knowledge, our work provides the first strong convergence result for this relaxation procedure in the three-dimensional setting and for ill-prepared data. The (NSC) system is partially dissipative and incorporates both partial diffusion and partial damping mechanisms. To address these aspects and ensure the large-time stability of the solutions, we construct localized-in-frequency perturbed energy functionals based on the hypocoercivity theory. More precisely, our analysis relies on partitioning the frequency space into <i>three</i> distinct regimes: low, medium and high frequencies. Within each frequency regime, we introduce effective unknowns and Lyapunov functionals, revealing the spectrally expected dissipative structures.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"406 10","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-025-05403-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144923107","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

Ill-Posedness of the Hydrostatic Euler–Boussinesq Equations and Failure of Hydrostatic Limit 流体静力学Euler-Boussinesq方程的病态性和流体静力极限的失效

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-09-01 DOI: 10.1007/s00220-025-05423-1

Roberta Bianchini, Michele Coti Zelati, Lucas Ertzbischoff

引用次数: 0

Symmetries of F-Cohomological Field Theories and F-Topological Recursion f -上同调场论的对称性和f -拓扑递推

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-09-01 DOI: 10.1007/s00220-025-05347-w

Gaëtan Borot, Alessandro Giacchetto, Giacomo Umer

{"title":"Symmetries of F-Cohomological Field Theories and F-Topological Recursion","authors":"Gaëtan Borot, Alessandro Giacchetto, Giacomo Umer","doi":"10.1007/s00220-025-05347-w","DOIUrl":"10.1007/s00220-025-05347-w","url":null,"abstract":"<div><p>We define F-topological recursion (F-TR) as a non-symmetric version of topological recursion, which associates a vector potential to some initial data. We describe the symmetries of the initial data for F-TR and show that, at the level of the vector potential, they include the F-Givental (non-linear) symmetries studied by Arsie, Buryak, Lorenzoni, and Rossi within the framework of F-manifolds. Additionally, we propose a spectral curve formulation of F-topological recursion. This allows us to extend the correspondence between semisimple cohomological field theories (CohFTs) and topological recursion, as established by Dunin-Barkowski, Orantin, Shadrin, and Spitz, to the F-world. In the absence of a full reconstruction theorem à la Teleman for F-CohFTs, this demonstrates that F-TR holds for the ancestor vector potential of a given F-CohFT if and only if it holds for some F-CohFT in its F-Givental orbit. We turn this into a useful statement by showing that the correlation functions of F-topological field theories (F-CohFTs of cohomological degree 0) are governed by F-TR. We apply these results to the extended 2-spin F-CohFT. Furthermore, we exhibit a large set of linear symmetries of F-CohFTs, which do not commute with the F-Givental action.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"406 10","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-025-05347-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144923045","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