HongKun Zhang

Research Interests

Dynamical systems and ergodic theory; Deep learning using Graph Neural Network; Deep learning on Dynamical Systems; Deep learning on time series; Financial Mathematics

Prof. Hongkun Zhang is an expert in Statistical Properties of Hyperbolic Dynamical Systems including chaotic billiards. One major trend of Modern Dynamical Systems is to investigate the stochastic properties for random processes generated by chaotic dynamical systems, including the decay rates of correlations, Central Limit Theory and other probability limiting theorems. Her research field also extends to general stochastic processes and probability theory, with applications in financial mathematics using SDE and statistics, risk management using Extreme Value Theory, networks using stochastic analysis, and other fields generating time series using statistical methods. Most recently, her interest has shift to deep leaning on Graph Neural Networks, deep learning of Dynamical Systems.