Stochastic Dynamical Systems Under Levy Noise: Theory and Applications

 Organizer(s):
Name:
Affiliation:
Country:
Ting Gao
Huazhong University of Science and Technology
Peoples Rep of China
Xiaoli Chen
China University of Geosciences
Peoples Rep of China
 Introduction:  
  This session aims to explore the rich mathematical structure and diverse applications of stochastic dynamical systems driven by Lévy noise. Moving beyond classical Gaussian perturbations, Lévy processes provide a crucial framework for modeling systems with discontinuous paths and heavy-tailed fluctuations, offering greater realism in numerous fields. We invite contributions addressing both foundational theory and cutting-edge applications. Key topics include, but are not limited to: the mean field limit theory for interacting particles; geometric stochastic dynamics in Stochastic Contact & Hamiltonian Systems; connections to non-equilibrium thermodynamic and statistical mechanics; the analysis of path probabilities via the Onsager-Machlup action functional; and novel applications in learning dynamics and the characterization of noise-induced transitions. This session will foster dialogue on how Lévy noise fundamentally alters dynamical behavior, bridging pure mathematics with applied physics, engineering, and data science.

List of speakers