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Geometric realization of the Mikhailov-Lenells system on the reductive homogeneous space (GL(3,{mathbb {C}})/({mathbb {C}}^*)^3) 约化齐次空间上Mikhailov-Lenells系统的几何实现 (GL(3,{mathbb {C}})/({mathbb {C}}^*)^3)
IF 1.4 3区 数学
Analysis and Mathematical Physics Pub Date : 2025-05-16 DOI: 10.1007/s13324-025-01075-5
Shiping Zhong, Zehui Zhao, Jinhuan Wang
{"title":"Geometric realization of the Mikhailov-Lenells system on the reductive homogeneous space (GL(3,{mathbb {C}})/({mathbb {C}}^*)^3)","authors":"Shiping Zhong,&nbsp;Zehui Zhao,&nbsp;Jinhuan Wang","doi":"10.1007/s13324-025-01075-5","DOIUrl":"10.1007/s13324-025-01075-5","url":null,"abstract":"<div><p>Using the zero curvature representation within the framework of Yang-Mills theory, this paper is devoted to exploring geometric properties of the Mikhailov-Lenells system, which was constructed from Lax pairs of two linear <span>(3times 3)</span> matrix spectral problems. The Landau-Lifshitz type model of Sym-Pohlmeyer moving curves evolving in the reductive homogeneous space <span>(GL(3,mathbb C)/({mathbb {C}}^*)^3)</span> with initial data being suitably restricted is gauge equivalent to the Mikhailov-Lenells system. This gives a geometric realization of the Mikhailov-Lenells system.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 3","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144073890","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 parametric (0-)Gevrey asymptotic expansions in two levels for some linear partial (q-)difference-differential equations 一类线性偏微分方程(q-)的参数二阶(0-) Gevrey渐近展开式
IF 1.4 3区 数学
Analysis and Mathematical Physics Pub Date : 2025-05-15 DOI: 10.1007/s13324-025-01074-6
Alberto Lastra, Stéphane Malek
{"title":"On parametric (0-)Gevrey asymptotic expansions in two levels for some linear partial (q-)difference-differential equations","authors":"Alberto Lastra,&nbsp;Stéphane Malek","doi":"10.1007/s13324-025-01074-6","DOIUrl":"10.1007/s13324-025-01074-6","url":null,"abstract":"<div><p>A novel asymptotic representation of the analytic solutions to a family of singularly perturbed <span>(q-)</span>difference-differential equations in the complex domain is obtained. Such asymptotic relation shows two different levels associated to the vanishing rate of the domains of the coefficients in the formal asymptotic expansion. On the way, a novel version of a multilevel sequential Ramis-Sibuya type theorem is achieved.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 3","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13324-025-01074-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143949457","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
Existence theory for some class of nonlocal integro-differential inclusions without compactness or norm-continuity 一类非紧性或范数连续的非局部积分微分包含的存在性理论
IF 1.4 3区 数学
Analysis and Mathematical Physics Pub Date : 2025-05-15 DOI: 10.1007/s13324-025-01069-3
Khaled Ben Amara, Aref Jeribi, Najib Kaddachi
{"title":"Existence theory for some class of nonlocal integro-differential inclusions without compactness or norm-continuity","authors":"Khaled Ben Amara,&nbsp;Aref Jeribi,&nbsp;Najib Kaddachi","doi":"10.1007/s13324-025-01069-3","DOIUrl":"10.1007/s13324-025-01069-3","url":null,"abstract":"<div><p>This work is devoted to discuss the existence of solutions for an abstract class of partial integro-differential inclusions without compactness or norm-continuity conditions. Therefore, we derive an existence theory for some problems of fractional differential inclusions, as well as, neutral differential inclusions with nonlocal conditions on Banach space. Our studies are achieved via fixed point techniques.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 3","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143949444","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
Bifurcation and Stochastic Dynamics of the Hirota-Maccari System: A Study of Noise-Induced Solitons Hirota-Maccari系统的分岔和随机动力学：噪声诱导孤子的研究
IF 1.4 3区 数学
Analysis and Mathematical Physics Pub Date : 2025-05-15 DOI: 10.1007/s13324-025-01077-3
U. Akram, Z. Tang
{"title":"Bifurcation and Stochastic Dynamics of the Hirota-Maccari System: A Study of Noise-Induced Solitons","authors":"U. Akram,&nbsp;Z. Tang","doi":"10.1007/s13324-025-01077-3","DOIUrl":"10.1007/s13324-025-01077-3","url":null,"abstract":"<div><p>This study aims to investigate the intricate dynamics of the stochastic Hirota-Maccari system forced in the It<span>(hat{o})</span> sense. First, we establish a dynamical system linked to the equation by employing the Galilean transformation. By employing the system of complete discriminant of the polynomial technique, we methodically develop single traveling wave solutions for the governing model. Our solutions encompass hyperbolic, rational, and trigonometric forms, Jacobian elliptic functions, and various solitary wave solutions, along with transitions of Jacobian elliptic functions to periodic and hyperbolic solutions. Furthermore, we investigate the bifurcation processes that are intrinsic to the derived system using concepts from the theory of planar dynamical systems. Additionally, the existence of chaotic behaviors in the governing model is investigated by adding a perturbed term into the resulting dynamical system and presenting various two and three dimensional phase pictures. We also conduct sensitivity analyses to understand how various initial conditions affect the governing model. The proposed bifurcation and sensitivity analyses provide a framework for predicting and managing soliton behaviour in noisy environments, with possible applications in optical communications, fluid dynamics, and quantum mechanics. To illustrate our findings, we include several graphics that vividly demonstrate the influence of noise. These graphics reveal distinct patterns of random fluctuations, demonstrating the tremendous impact of stochastic forces across different systems and scenarios.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 3","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13324-025-01077-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144074068","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
Spectral determinants of almost equilateral quantum graphs 几乎等边量子图的谱行列式
IF 1.4 3区 数学
Analysis and Mathematical Physics Pub Date : 2025-05-15 DOI: 10.1007/s13324-025-01070-w
Jonathan Harrison, Tracy Weyand
{"title":"Spectral determinants of almost equilateral quantum graphs","authors":"Jonathan Harrison,&nbsp;Tracy Weyand","doi":"10.1007/s13324-025-01070-w","DOIUrl":"10.1007/s13324-025-01070-w","url":null,"abstract":"<div><p>Kirchoff’s matrix tree theorem of 1847 connects the number of spanning trees of a graph to the spectral determinant of the discrete Laplacian [22]. Recently an analogue was obtained for quantum graphs relating the number of spanning trees to the spectral determinant of a Laplacian acting on functions on a metric graph with standard (Neumann-like) vertex conditions [20]. This result holds for quantum graphs where the edge lengths are close together. A quantum graph where the edge lengths are all equal is called equilateral. Here we consider equilateral graphs where we perturb the length of a single edge (almost equilateral graphs). We analyze the spectral determinant of almost equilateral complete graphs, complete bipartite graphs, and circulant graphs. This provides a measure of how fast the spectral determinant changes with respect to changes in an edge length. We apply these results to estimate the width of a window of edge lengths where the connection between the number of spanning trees and the spectral determinant can be observed. The results suggest the connection holds for a much wider window of edge lengths than is required in [20].</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 3","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143949456","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 support of measures of large entropy for polynomial-like maps
IF 1.4 3区 数学
Analysis and Mathematical Physics Pub Date : 2025-05-13 DOI: 10.1007/s13324-025-01071-9
Sardor Bazarbaev, Fabrizio Bianchi, Karim Rakhimov
{"title":"On the support of measures of large entropy for polynomial-like maps","authors":"Sardor Bazarbaev,&nbsp;Fabrizio Bianchi,&nbsp;Karim Rakhimov","doi":"10.1007/s13324-025-01071-9","DOIUrl":"10.1007/s13324-025-01071-9","url":null,"abstract":"<div><p>Let <i>f</i> be a polynomial-like map with dominant topological degree <span>(d_tge 2)</span> and let <span>(d_{k-1}&lt;d_t)</span> be its dynamical degree of order <span>(k-1)</span>. We show that every ergodic measure whose measure-theoretic entropy is strictly larger than <span>(log sqrt{d_{k-1} d_t})</span> is supported on the Julia set, i.e., the support of the unique measure of maximal entropy <span>(mu )</span>. The proof is based on the exponential speed of convergence of the measures<span>(d_t^{-n}(f^n)^*delta _a)</span> towards <span>(mu )</span>, which is valid for a generic point <i>a</i> and with a controlled error bound depending on <i>a</i>. Our proof also gives a new proof of the same statement in the setting of endomorphisms of <span>(mathbb P^k(mathbb C))</span> – a result due to de Thélin and Dinh – which does not rely on the existence of a Green current.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 3","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143944264","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
Algebraic degeneracy theorem on complete Kähler manifolds 完全Kähler流形上的代数退化定理
IF 1.4 3区 数学
Analysis and Mathematical Physics Pub Date : 2025-05-11 DOI: 10.1007/s13324-025-01066-6
Mengyue Liu, Xianjing Dong
{"title":"Algebraic degeneracy theorem on complete Kähler manifolds","authors":"Mengyue Liu,&nbsp;Xianjing Dong","doi":"10.1007/s13324-025-01066-6","DOIUrl":"10.1007/s13324-025-01066-6","url":null,"abstract":"<div><p>In this paper, we develop an algebraic degeneracy theorem for meromorphic mappings from Kähler manifolds into complex projective manifolds provided that the dimension of target manifolds is not greater than that of source manifolds. With some curvature or growth conditions imposed, we show that any meromorphic mapping must be algebraically degenerate if it satisfies a defect relation.\u0000</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 3","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143932321","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 higher integrability of minimizer to a nonlinear functional in domains perforated along the boundary 关于沿边界穿孔区域上的非线性泛函的高可积性
IF 1.4 3区 数学
Analysis and Mathematical Physics Pub Date : 2025-05-09 DOI: 10.1007/s13324-025-01064-8
Gregory A. Chechkin
{"title":"On higher integrability of minimizer to a nonlinear functional in domains perforated along the boundary","authors":"Gregory A. Chechkin","doi":"10.1007/s13324-025-01064-8","DOIUrl":"10.1007/s13324-025-01064-8","url":null,"abstract":"<div><p>We proved higher integrability (the Boyarsky–Meyers estimate) of solutions to nonlinear minimizing problems (i.e. for minimizers of nonlinear functionals) in domains perforated along the boundary.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 3","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143925678","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
Asymptotics of Fubini-Study currents for sequences of line bundles 线束序列的fubini -研究电流的渐近性
IF 1.4 3区 数学
Analysis and Mathematical Physics Pub Date : 2025-05-08 DOI: 10.1007/s13324-025-01059-5
Melody Wolff
{"title":"Asymptotics of Fubini-Study currents for sequences of line bundles","authors":"Melody Wolff","doi":"10.1007/s13324-025-01059-5","DOIUrl":"10.1007/s13324-025-01059-5","url":null,"abstract":"<div><p>We study the Fubini-Study currents and equilibrium metrics of continuous Hermitian metrics on sequences of holomorphic line bundles over a fixed compact Kähler manifold. We show that the difference between the Fubini-Study currents and the curvature of the equilibrium metric, when appropriately scaled, converges to 0 in the sense of currents. As a consequence, we obtain sufficient conditions for the scaled Fubini-Study currents to converge weakly.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 3","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13324-025-01059-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143919056","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
Convolution-type operators in grand Lorentz spaces 大洛伦兹空间中的卷积型算子
IF 1.4 3区 数学
Analysis and Mathematical Physics Pub Date : 2025-05-04 DOI: 10.1007/s13324-025-01049-7
Erlan D. Nursultanov, Humberto Rafeiro, Durvudkhan Suragan
{"title":"Convolution-type operators in grand Lorentz spaces","authors":"Erlan D. Nursultanov,&nbsp;Humberto Rafeiro,&nbsp;Durvudkhan Suragan","doi":"10.1007/s13324-025-01049-7","DOIUrl":"10.1007/s13324-025-01049-7","url":null,"abstract":"<div><p>We introduce and study a novel grand Lorentz space—that we believe is appropriate for critical cases—that lies “between” the Lorentz–Karamata space and the recently defined grand Lorentz space from Ahmed et al. (Mediterr J Math 17:57, 2020). We prove both Young’s and O’Neil’s inequalities in the newly introduced grand Lorentz spaces, which allows us to derive a Hardy–Littlewood–Sobolev-type inequality. We also discuss Köthe duality for grand Lorentz spaces, from which we obtain a new Köthe dual space theorem in grand Lebesgue spaces.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 3","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143902793","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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