关于非线性热力学形式大偏差的一些结果
PDF下载 (178)高银辉,季 泳*.关于非线性热力学形式大偏差的一些结果[J].宁波大学学报(理工版),2024,37(5):48-53.DOI:10.20098/j.cnki.1001-5132.2023.0911
GAO Yinhui,JI Yong.Some results on large deviation for nonlinear thermodynamic formalism[J].Journal of Ningbo University(Natural Science & Engineering Edition),2024,37(5):48-53.DOI:10.20098/j.cnki.1001-5132.2023.0911
| Title: | Some results on large deviation for nonlinear thermodynamic formalism |
| 作者: | 高银辉, 季 泳* |
| Author(s): | GAO Yinhui, JI Yong |
| 关键词: | 非线性热力学形式; 大偏差; 碎轨性质; 动力系统 |
| Keywords: | nonlinear thermodynamic formalism; large deviation; specification property; dynamical system |
| 分类号: | O192 |
| DOI: | 10.20098/j.cnki.1001-5132.2023.0911 |
| 文献标识码: | A |
| 摘要: | 拓扑压在遍历理论、动力系统、维数理论和平衡态理论中作用重大. 经典的热力学形式, 即势函数是可加的, 无论在确定性系统还是在随机系统中都已有许多重要的理论结果和广泛应用. Buzzi、Kloeckner和Leplaideur定义了动力系统的非线性热力学形式, 并采用了凸分析方法对其展开了研究. 本文研究了关于非线性热力学形式大偏差的一些结果. |
| Abstract: | Topological pressure plays an important role in ergodic theory, dynamical system, dimensional theory and equilibrium states theory. The classical thermodynamical formalism, i.e. the case where the potential function is additive, has many important theoretical results and wide applications, both in deterministic systems and random systems. Buzzi, Kloeckner and Leplaideur defined nonlinear thermodynamical formalism of dynamical systems, and analyzed this nonlinear thermodynamics using suitable convex analysis. In this paper, we give some results concerning large deviation for nonlinear thermodynamical formalism |
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| 备注/Memo: | 收稿日期: 2023−09−12. 宁波大学学报（理工版）网址: http://journallg.nbu.edu.cn/ 基金项目: 国家自然科学基金（12101340）. 第一作者: 高银辉, 硕士研究生, 主要研究方向: 动力系统及遍历理论. E-mail: g15037457500@163.com *通信作者: 季泳, 讲师, 主要研究方向: 动力系统及遍历理论. E-mail: imjiyong@126.com 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
