上海数学与交叉学科研究院(SIMIS)依托清华三亚数学科学论坛(TSIMF)举办“复杂系统的热⼒学:⾃由能原理”小型研讨会,邀请物理学、数学、计算神经科学、⼈⼯智能等具有交叉背景和兴趣的专家,聚焦⾮平衡态统计与复杂动⼒系统的数学刻画,探讨⾃适应体系的⾃组织与演化的第⼀性原理和复杂系统的涌现现象。研讨会将深⼊探讨⼀下课题,1)⾮平衡态统计物理;2)⾼维动⼒系统、临界性、随机过程; 3)信息论、编码理论。研讨会将⾸先回顾 Jarzynski,Crooke, Seifert 等研究的⾮平衡态热⼒学⾥熵与⾃由能的基本概念、Shannon 信息论信源信道编码和Bialek 的信息瓶颈原理、计算神经科学领域提炼出的⻉叶斯预测编码、主动推理和 Friston 的⼤脑⾃由能原理等,通过⾃由⽽聚焦的跨学科讨论,探索描绘信息运动及其随机控制的⼀般动⼒学规律和⽅程。
研讨会形式:研讨会在海南省三亚市的清华三亚国际数学论坛(TSIMF)举⾏。预计 4-5 天时间,规模不超过 30 ⼈。会议通过领域简介、头脑⻛暴、焦点问题等交流形式,辅之轻松愉悦的⾃由讨论和休闲活动,期望孕育复杂系统研究的原创性想法和思路。
本次研讨会与诸多会议不同之处在于:1)高度交叉(数学、物理、信息、⽣命领域);2)高度聚焦(⾃由能、熵等基于热⼒学语⾔和框架所刻画的复杂、⾮平衡态系统);3)高度联动(会议单元并非每⼈介绍本⼈⼯作,而是以跨学科/领域的共同概念为基础的讨论、协同与互动)。研讨会可看成是⼀场在轻松休闲⾃然环境下持续多⽇的团队攻关 collective problem solving,会议宗旨是希望凝聚出复杂智能系统和过程的奠基性原理和⽅程。除了安排⼏场基础背景介绍的报告之外,其余时间以头脑⻛暴和聚焦攻关的形式。根据需要,在会议期间会临时调整议题,也会有参会者的即兴报告和汇报 presentation。 为保障质量,研讨会采⽤邀请制:参会⼈员是认可会议宗旨的在本领域具有相当基础和语⾔的专家和少数有潜⼒的学⽣。
Jun Zhang, SIMIS and University of Michigan
Leihan Tang,Westlake University
Haijun Zhou,Institute of Theoretical Physics, Chinese Academy of Sciences
Wei Lin,Fudan University
SIMIS-TSIMF INTERDISCIPLINARY SERIES International Workshop on Logic, Cognition, and Philosophy of Mathematics
SPDEs and multiscale analysis
Elliptic Discrete Integrable Systems
The interaction between geometry, quantum field theory and nonlinear analysis
Advanced Finite Elements Methods for Nonlinear PDEs
Modern Aspects of Quantum Field Theory
Working Seminar on Analytic Number Theory
Workshop on Mathematics, Image Science and Artificial Intelligence (MISAI)
Diophantine Approximation, Dynamical Systems and Related Topics
High order numerical methods for PDEs in applied sciences
Seminar on Graph Theory
DG manifolds in Geometry and Physics
Probability and Statistical Physics
Seminar on Hodge Conjecture
Workshop on Mathematics in the Internet and Blockchain Economics
Workshop on the recent progress of kinetic theory and related topics
Mathematical Aspects of Quantum Theory
Sanya Waves
Viscoelastic Flow Dynamics: from Theory to Mechanisms
Complex time series analysis: high-dimensionality, change-points, forecasting and causality
Special values of L-functions
New Developments in Holography
Workshop on Algebraic Geometry
Computational Topology and Application
Recent Advances in Scientific Computing and Deep Learning