发布求助
文献互助 智能选刊 最新文献

Journal of Physics A: Mathematical and Theoretical最新文献

筛选
英文 中文
Strongly quasi-mixing properties for one-dimensional diffusion processes with killing 具有杀伤力的一维扩散过程的强准混合特性
Journal of Physics A: Mathematical and Theoretical Pub Date : 2024-07-15 DOI: 10.1088/1751-8121/ad637f
Saixia Liao, Hanjun Zhang, Huasheng Li
{"title":"Strongly quasi-mixing properties for one-dimensional diffusion processes with killing","authors":"Saixia Liao, Hanjun Zhang, Huasheng Li","doi":"10.1088/1751-8121/ad637f","DOIUrl":"https://doi.org/10.1088/1751-8121/ad637f","url":null,"abstract":"\u0000 In this paper, we establish sufficient conditions for the existence of strongly (uniformly and exponentially) quasi-mixing limits of one-dimensional diffusion processes with killing. As a by-product, these conditions also ensure that the considered processes have strong quasi-ergodicity, strong fractional quasi-ergodicity and uniform mean-ratio quasi-ergodicity. Moreover, the quasi-ergodic speeds of these three quasi-ergodicities are also characterized.","PeriodicalId":502730,"journal":{"name":"Journal of Physics A: Mathematical and Theoretical","volume":"42 14","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141644865","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Poisson Electrodynamics With Charged Matter Fields 带电物质场的泊松电动力学
Journal of Physics A: Mathematical and Theoretical Pub Date : 2024-07-12 DOI: 10.1088/1751-8121/ad62c7
Alexey A Sharapov
{"title":"Poisson Electrodynamics With Charged Matter Fields","authors":"Alexey A Sharapov","doi":"10.1088/1751-8121/ad62c7","DOIUrl":"https://doi.org/10.1088/1751-8121/ad62c7","url":null,"abstract":"\u0000 Poisson electrodynamics is the low-energy limit of a rank-one noncommutative gauge theory. It admits a closed formulation in terms of a Poisson structure on the space-time manifold and reproduces ordinary classical electrodynamics in the commutative limit. In this paper, we address and solve the problem of minimal coupling to charged matter fields with a proper commutative limit. Our construction essentially relies on the geometry of symplectic groupoids and works for all integrable Poisson manifolds. An additional advantage of our approach is that the corresponding Lagrangians can be defined on an arbitrary metric background.","PeriodicalId":502730,"journal":{"name":"Journal of Physics A: Mathematical and Theoretical","volume":"34 12","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141653470","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
State space reconstruction of Markov chains via autocorrelation structure 通过自相关结构重构马尔可夫链的状态空间
Journal of Physics A: Mathematical and Theoretical Pub Date : 2024-07-11 DOI: 10.1088/1751-8121/ad6224
Antal Jakovác, M. T. Kurbucz, András Telcs
{"title":"State space reconstruction of Markov chains via autocorrelation structure","authors":"Antal Jakovác, M. T. Kurbucz, András Telcs","doi":"10.1088/1751-8121/ad6224","DOIUrl":"https://doi.org/10.1088/1751-8121/ad6224","url":null,"abstract":"\u0000 Understanding the state space of observed Markov processes is essential for advancing causal inference in a wide range of scientific fields. This paper demonstrates how the previously unknown state space can be reconstructed by exploring the spectrum of the time-delay embedding matrix derived from the autocorrelation sequence of the observed series. It also highlights that the eigenvector associated with the smallest eigenvalue can provide valuable insights into the hidden data generation process itself. The presented results provide a deeper understanding of the complex dynamics of Markov chains and hold promise for enhancing various scientific applications.","PeriodicalId":502730,"journal":{"name":"Journal of Physics A: Mathematical and Theoretical","volume":"143 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141655969","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Free fermions in the repeated interactions scheme 重复相互作用方案中的自由费米子
Journal of Physics A: Mathematical and Theoretical Pub Date : 2024-07-10 DOI: 10.1088/1751-8121/ad61d5
D. Karevski
{"title":"Free fermions in the repeated interactions scheme","authors":"D. Karevski","doi":"10.1088/1751-8121/ad61d5","DOIUrl":"https://doi.org/10.1088/1751-8121/ad61d5","url":null,"abstract":"\u0000 We discuss collision models made of fermions colliding repeatedly with an extended fermionic system whose hamiltonian is quadratic. After a review of the general theory of collision models, we derive a general Lyapunov dynamical equation that governs the covariance matrix of the fermionic extended system. We solve explicitly, in a wide range of physical parameters, several situations of interest such as the case of a boundary driven chain or the replication of entanglement leading to a rainbow like state.","PeriodicalId":502730,"journal":{"name":"Journal of Physics A: Mathematical and Theoretical","volume":"49 22","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141660193","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Motivic coaction and single-valued map of polylogarithms from zeta generators 来自zeta生成器的多项式的动因作用和单值映射
Journal of Physics A: Mathematical and Theoretical Pub Date : 2024-07-03 DOI: 10.1088/1751-8121/ad5edf
Hadleigh Frost, M. Hidding, Deepak Kamlesh, Carlos Rodriguez, Oliver Schlotterer, Bram Verbeek
{"title":"Motivic coaction and single-valued map of polylogarithms from zeta generators","authors":"Hadleigh Frost, M. Hidding, Deepak Kamlesh, Carlos Rodriguez, Oliver Schlotterer, Bram Verbeek","doi":"10.1088/1751-8121/ad5edf","DOIUrl":"https://doi.org/10.1088/1751-8121/ad5edf","url":null,"abstract":"\u0000 We introduce a new Lie-algebraic approach to explicitly construct the motivic coaction and single-valued map of multiple polylogarithms in any number of variables. In both cases, the appearance of multiple zeta values is controlled by conjugating generating series of polylogarithms with Lie-algebra generators associated with odd zeta values. Our reformulation of earlier constructions of coactions and single-valued polylogarithms preserves choices of fibration bases, exposes the correlation between multiple zeta values of different depths and paves the way for generalizations beyond genus zero.","PeriodicalId":502730,"journal":{"name":"Journal of Physics A: Mathematical and Theoretical","volume":" 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141680722","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Magnetic resonance in quantum spin chains with competing exchange interactions 具有竞争交换相互作用的量子自旋链中的磁共振
Journal of Physics A: Mathematical and Theoretical Pub Date : 2024-07-02 DOI: 10.1088/1751-8121/ad5e4c
Norbert Buettgen, Hans-Albrecht Krug von Nidda
{"title":"Magnetic resonance in quantum spin chains with competing exchange interactions","authors":"Norbert Buettgen, Hans-Albrecht Krug von Nidda","doi":"10.1088/1751-8121/ad5e4c","DOIUrl":"https://doi.org/10.1088/1751-8121/ad5e4c","url":null,"abstract":"\u0000 Based on a previous review on magnetic resonance in quantum spin chains [H.-A. Krug von Nidda, N. Büttgen, and A. Loidl, Eur. Phys. J. Special Topics 180, 161–189 (2010)] we report on further development in this field with special focus on transition–metal oxides and halogenides consisting of quasi one– dimensional spin systems, where both intra– and inter–chain exchange interaction may give rise to frustration effects and higher–order anisotropic exchange contributions like the Dzyaloshinskii–Moriya interaction become decisive for the formation of the magnetic ground state. Selected examples show how NMR and ESR contribute valuable information on the magnetic phases and exchange interactions involved: LiCuVO4 with competing nearest neighbour and next–nearest neighbour intra–chain exchange, LiCu2O2 with complex zig–zag chains, and Cs2CuCl4 where the chains form a triangular lattice with the inter–chain interaction weaker but of the same order of magnitude than the intra–chain interaction. The so called paper–chain compound Ba3Cu3In4O12, where each successive pair of CuO4 plaquettes is rotated by 90° with respect to its predecessor along the c–direction like in a paper–chain, provides an interesting topology of frustrated intra–chain exchange interactions. Finally, a few dimer systems are considered.","PeriodicalId":502730,"journal":{"name":"Journal of Physics A: Mathematical and Theoretical","volume":"10 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141685146","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Feynman-Kac equation for Brownian non-Gaussian polymer diffusion 布朗非高斯聚合物二聚体的费曼-卡克方程
Journal of Physics A: Mathematical and Theoretical Pub Date : 2024-06-13 DOI: 10.1088/1751-8121/ad57b4
Tian Zhou, Heng Wang, W. Deng
{"title":"Feynman-Kac equation for Brownian non-Gaussian polymer diffusion","authors":"Tian Zhou, Heng Wang, W. Deng","doi":"10.1088/1751-8121/ad57b4","DOIUrl":"https://doi.org/10.1088/1751-8121/ad57b4","url":null,"abstract":"\u0000 The motion of the polymer center of mass (CM) is driven by two stochastic terms that are Gaussian white noise generated by standard thermal stirring and chain polymerization processes, respectively. It can be described by the Langevin equation and is Brownian non-Gaussian by calculating the kurtosis. We derive the forward Fokker-Planck equation governing the joint distribution of the motion of CM and the chain polymerization process. The backward Fokker-Planck equation governing only the probability density function (PDF) of CM position for a given number of monomers is also derived. We derive the forward and backward Feynman-Kac equations for the functional distribution of the motion of the CM, respectively, and present some of their applications, which are validated by a deep learning method based on backward stochastic differential equations (BSDEs), i.e., the deep BSDE method.","PeriodicalId":502730,"journal":{"name":"Journal of Physics A: Mathematical and Theoretical","volume":"6 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141347989","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Particles with constant speed and random velocity in 3+1 space-time: separation of the space variables. 3+1 时空中的恒速和随机速度粒子：空间变量的分离。
Journal of Physics A: Mathematical and Theoretical Pub Date : 2024-06-11 DOI: 10.1088/1751-8121/ad56e0
Maurizio Serva
{"title":"Particles with constant speed and random velocity in 3+1 space-time: separation of the space variables.","authors":"Maurizio Serva","doi":"10.1088/1751-8121/ad56e0","DOIUrl":"https://doi.org/10.1088/1751-8121/ad56e0","url":null,"abstract":"\u0000 We consider a particle in 3+1 space-time dimensions which constantly moves at speed of light c, randomly changing its velocity which can be represented by a point on the surface of a sphere of radius c. The velocity performs an isotropic Wiener process on this surface so that the velocity trajectories are almost everywhere continuous although not differentiable, while the position trajectories are continuous and differentiable. Together with the process that describes the particle in the ‘rest frame’, where the diffusion of velocity on the surface of the sphere is isotropic, the entire family of anisotropic processes which result from Lorentz boosts is also described. The focus of this article is on stochastic evolution in space. We identify a reduced set of variables whose stochastic evolution is autonomous from the remaining variables, but, nevertheless, carry all the relevant information concerning the spatial properties of the process. The associated stochastic equations as well the Forward Kolmogorov Equation (FKE) are considerably simplified compared to those of the complete set of position and velocity variables.","PeriodicalId":502730,"journal":{"name":"Journal of Physics A: Mathematical and Theoretical","volume":"5 8","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141356257","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Exploring cooperative hunting dynamics and PRCC analysis: Insights from a spatio-temporal mathematical model 探索合作狩猎动态和 PRCC 分析：时空数学模型的启示
Journal of Physics A: Mathematical and Theoretical Pub Date : 2024-06-11 DOI: 10.1088/1751-8121/ad56e2
Nirapada Santra, Sangeeta Saha, G. Samanta
{"title":"Exploring cooperative hunting dynamics and PRCC analysis: Insights from a spatio-temporal mathematical model","authors":"Nirapada Santra, Sangeeta Saha, G. Samanta","doi":"10.1088/1751-8121/ad56e2","DOIUrl":"https://doi.org/10.1088/1751-8121/ad56e2","url":null,"abstract":"\u0000 The proposed mathematical model explores the intricate dynamics of a predator-prey system involving prey infection and cooperative hunting of predators. The model incorporates habitat complexity, emphasizing its influence on ecological interactions. The well-posedness of the system has rigorously been examined in a temporal setting and also conducted stability analysis. The bifurcation analysis reveals the existence of several local bifurcations on the system, namely transcritical bifurcation, saddle-node bifurcation, and Hopf bifurcation. Furthermore, these investigations delineate the two-dimensional bifurcations including Bogdanov-Takens and cusp bifurcations for different parametric combinations. With suitable choices of parameter values, the proposed model exhibits diverse dynamic phenomena, including bi-stable and tri-stable behavior. Latin hypercube sampling is utilized to conduct uncertainty analysis on input parameters, aiming to observe their effects on population dynamics. Subsequently, Kendall’s tau and Spearman’s rank correlation coefficients are also computed to investigate the impact of these uncertainties on the population. In the later part, a spatio-temporal system is proposed with two-dimensional diffusion terms to obtain the conditions for Turing instability. Numerical simulations have been conducted to observe the emergence of spatial patterns and the impact of predator cooperation in these patterns. The study provides valuable insights into the dynamics of complex ecological systems, emphasizing the interplay of spatial and temporal factors in shaping population dynamics and predator-prey interactions.","PeriodicalId":502730,"journal":{"name":"Journal of Physics A: Mathematical and Theoretical","volume":"48 20","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141354917","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Z2 classification of FTR symmetric differential operators and obstruction to Anderson localization FTR 对称微分算子的 Z2 分类和安德森定位的障碍
Journal of Physics A: Mathematical and Theoretical Pub Date : 2024-06-06 DOI: 10.1088/1751-8121/ad5523
Guillaume Bal, Zhongjian Wang
{"title":"Z2 classification of FTR symmetric differential operators and obstruction to Anderson localization","authors":"Guillaume Bal, Zhongjian Wang","doi":"10.1088/1751-8121/ad5523","DOIUrl":"https://doi.org/10.1088/1751-8121/ad5523","url":null,"abstract":"\u0000 This paper concerns the Z2 classification of Fermionic Time-Reversal (FTR) symmetric partial differential Hamiltonians on the Euclidean plane. We consider the setting of two insulators separated by an interface. Hamiltonians that are invariant with respect to spatial translations along the interface are classified into two categories depending on whether they may or may not be gapped by continuous deformations. Introducing a related odd-symmetric Fredholm operator, we show that the classification is stable against FTR-symmetric perturbations. The property that non-trivial Hamiltonians cannot be gapped may be interpreted as a topological obstruction to Anderson localization: no matter how much (spatially compactly supported) perturbations are present in the system, a certain amount of transmission in both directions is guaranteed in the nontrivial phase. We present a scattering theory for such systems and show numerically that transmission is indeed guaranteed in the presence of FTR-symmetric perturbations while it no longer is for non-symmetric fluctuations.","PeriodicalId":502730,"journal":{"name":"Journal of Physics A: Mathematical and Theoretical","volume":"95 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141378211","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：604180095
Book学术官方微信