3 papers
math.DS2025
Entropy formula of folding type for maps
Gang Liao, Shirou Wang
In the study of non-equilibrium statistical mechanics, Ruelle derived explicit formulae for entropy production of smooth dynamical systems. The vanishing or strict positivity of en…
math.DS2025
DeepWKB: Learning WKB Expansions of Invariant Distributions for Stochastic Systems
Yao Li, Yicheng Liu, Shirou Wang
This paper introduces a novel deep learning method, called DeepWKB, for estimating the invariant distribution of randomly perturbed systems via its Wentzel-Kramers-Brillouin (WKB)…
math.DS2025
Essential barrier height and a probabilistic approach in characterizing potential landscape
Yao Li, Molei Tao, Shirou Wang
This paper proposes a probabilistic approach to investigate the shape of landscapes of multi-dimensional potential functions. Under a suitable coupling scheme, two copies of the ov…