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16
2025/09
法政与公共管理学院人才招聘暨青年学者论坛
张媞（湖南大学）：合同订立——要约与要约邀请的区别；高淼（湖南大学）：村务监督的内涵与外延；韩秋杰（新疆大学）：刑事责任年龄降低的立法反思与实现路径。
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20
2025/09
文苑大讲堂2025年第27讲： 情动的伦理 （周末专家河北行）
情动转向（affective turn)是从德勒兹理论中发展出来的一个重要的文化理论话题。德勒兹在对斯宾诺莎《伦理学》的解读中表明，情动是一种情感的流变，情感始终是在快乐和悲苦之间不停地变化，对德勒兹来说，重要是要积极的情动，要发展出一种快乐主义伦理学。
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19
2025/09
文苑大讲堂2025年第26讲：古代文史类学术论文写作规范与馆藏资源利用
学术规范是所有从事学术研究的学者必须遵循的规范，也是学术创新的前提。本次入学教育以文史类学术论文的写作规范为主要内容，包括学术论文引用、注释与参考文献著录的具体规则，也涉及图书馆馆藏资源，特别是馆藏电子资源与数据库的使用。
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14
2025/09
Decay of correlations for dynamical systems admitting induced Weak Gibbs-Markov maps
In [2, 3], L. S. Young introduced induced Gibbs Markov maps. It was shown that the existence of induced Gibbs Markov maps with integrable return time implies the existence of amixing invariant probability measure absolutely continuous with respect to reference measure,and the rate of decay of correlations is related to the tail of the return time. In this talk, I willdiscuss how to obtain similar results under weaker assumptions, which allows the induced mapnot necessarily to be full branch.The main results presented in this talk are detailed in [1].[1] Ullah, A., Vilarinho, H. Statistical properties of dynamical systems via induced weak Gibbs Markovmaps. Nonlinearity 38 (2025), 045024.[2] Young, L.-S. Statistical properties of dynamical systems with some hyperbolicity.Ann. of Math. (2)147, 3 (1998), 585-650.[3] Young, L.-S. Recurrence times and rates of mixing. Israel J. Math. 110 (1999),153-188.
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14
2025/09
(Non)-existence of physical measures for doubly intermittent maps
I will introduce the concept of a physical measure and discuss a new family of simple one-dimensional maps which may admit different kinds of physical measures and, in some cases, no physical measures.
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13
2025/09
N heteroclinic cycles coexist in a 3D (N+1)-zone piecewise smooth system for arbitrary positive integer N
The Shi’lnikov criterion shows that three-dimensional smooth autonomous differential equations can display chaos with the existence assumption of a heteroclinic cycle connecting saddle-focus equilibria. However, it is challenging to confirm this assumption in a given system, since common methods are to be developed. Although it has been partially extended to two-zone piecewise linear systems, there is very little work on piecewise systems with multiple discontinuous boundaries. This paper analytically investigates three types of heteroclinic cycles with a number of N in a new class of three-dimensional (N + 1)-zone non-smooth systems for arbitrary integer N ≥ 1. Moreover, the classical criterion above has been extended to the considered system with theoretical analysis as well as numerical experiments, where the developed criteria in this paper apply not only to systems exhibiting saddle-focus behavior but also to those possessing both saddle and saddle-focus equilibria. In addition, the existence conditions established for chaos induced by N heteroclinic cycles in this work, generalize the previous reported case of N = 1, 2 to the case of arbitrary N ≥ 1.
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13
2025/09
2025年微分动力系统学术研讨会
9月13日8:30-8:40 开幕式 8:40-9:00 参会人员合影9:00-9:40 田学廷 Orbit structure of chaotic dynamical systems9:40-10:20 许地生 The Zimmer program for partially hyperbolic systems10:20-10:40 休 息10:40-11:20 张金华 Nonhyperbolic ergodic measures11:20-12:00 廖 刚 Prime orbit theorem for14:40-15:20 王式柔 Folding entropy, folding-type entropy formula, and non-equilibrium statistical mechanics15:20-16:00 吴伟胜 Equilibrium states of geodesic flow16:00-16:40 历智明 Ergodic optimization for random dynamical systems16:40-17:00 休息17:00-17:30 余道骅 Derived-from-expanding endomorphism on T 217:30-18:00 吴万楼 The Lyapunov exponents of hyperbolic measures for C1 vector fields9月14日8:30-9:10 Raul Ures Measures of maximal entropy that are SRB 10:10-10:50 Maria R. Hertz How frequent is the butterfly effect?10:50-11:30 张宏坤 动力系统与神经网络14:40-15:20 杨启贵 Simple systems and chaos complexity of linearreaction-diffusion equations15:20-16:00 周云华 Dynamics near a class of nonhyperbolic fixed points16:00-16:40陈剑宇 A nonuniformly hyperbolic diffeomorphism with arbitrary number of ergodic components and close to the identity16:40-17:00 休 息17:00-17:30 罗炽逸 Ergodic measures with large entropy have uniformly large measure on Pesin setsfor surface diffeomorphisms17:30-18:00 唐艳杰 Spectral decomposition and skew-product for group actions9月15日8:30-9:10 梁超 Density and openness properties of non-uniformly hyperbolic diffeomorphisms revisited9:10-9:40 瞿聪聪 Dimension approximation and estimate for hyperbolic systems9:40-10:00 休 息10:00-10:30 袁艺 Ergodic and topological theory for systems with non-uniform structure10:30-11:00 庾辰炜 Variations of topological theory and ergodic theory under non-uniform specification
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12
2025/09
图的代数连通度的应用
图的第二小拉普拉斯矩阵特征值称为代数连通度，是反映多智能体系统(Multi-Agent System, MAS) 一致性收敛速率的指标。多智能体系统由多个智能体通过局部信息交互耦合而成，智能体之间通过相互作用、竞争和合作实现群体协作目标。本报告介绍了一阶连续型、二阶连续型、周期采样和事件触发多智能体系统的一致性收敛速率与通信拓扑图代数连通度之间的关系：代数连通度越大，一致性收敛速率越快。报告还介绍了代数连通度在复杂网络、交通网络等诸多领域中的应用，以及我们近年来得到的亚博足彩代数连通度在多智能体系统一致性应用研究中的主要结果。
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12
2025/09
Fractal geometry of the Markov and Lagrange spectra and their set difference
We will discuss some recent results on the fractal geometry of the Markov and Lagrange spectra, M and L which are classical objects from the theory of Diophantine approximations, and their set difference. In particular, we discuss recent results in collaboration with Erazo, Gutiérrez-Romo and Roma?a, which give precise asymptotic estimates for the fractal dimensions of the Markov and Lagrange spectra near 3 (their smaller accumulation point) and other recent collaborations with Jeffreys, Matheus, Pollicott and Vytnova, in which we prove that the Hausdorff dimension of the complement of the Lagrange spectrum in the Markov spectrum has Hausdorff dimension between 0.594561 and 0.796445. Finally we will discuss a recent work in collaboration with H. Erazo, D. Lima, C. Matheus and S. Vieira in which we prove that inf(M\L)=3.We will relate these results to symbolic dynamics, continued fractions and to the study of the fractal geometry of arithmetic sums of regular Cantor sets, a subject also important for the study of homoclinic bifurcations in Dynamical Systems.
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16
2025/09
现代小麦D亚基因组重建及抗逆遗传改良
现代小麦D亚基因组重建及抗逆遗传改良
