6 citations · 15 across the 8 of their papers we have counts for
9 papers
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)…
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…
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…
Intermittent Synchronization in finite-state random networks under Markov Perturbations
Arno Berger, Hong Qian, Shirou Wang +1
By introducing extrinsic noise as well as intrinsic uncertainty into a network with stochastic events, this paper studies the dynamics of the resulting Markov random network and ch…
Numerical computations of geometric ergodicity for stochastic dynamics
Yao Li, Shirou Wang
A probabilistic approach of computing geometric rate of convergence of stochastic processes is introduced in this paper. The goal is to quantitatively compute both upper and lower…
Synchronization in discrete-time, discrete-state Random Dynamical Systems
Wen Huang, Hong Qian, Shirou Wang +2
We characterize synchronization phenomenon in discrete-time, discrete-state random dynamical systems, with random and probabilistic Boolean networks as particular examples. In term…
Continuity properties of folding entropy
Gang Liao, Shirou Wang
The folding entropy is a quantity originally proposed by Ruelle in 1996 during the study of entropy production in the non-equilibrium statistical mechanics. As derived through a li…
Measures of intermediate entropies for star vector fields
Ming Li, Yi Shi, Shirou Wang +1
We prove that all star vector fields, including Lorenz attractors and multisingular hyperbolic vector fields, admit the intermediate entropy property. To be precise, if is a st…
Continuity of entropy map for nonuniformly hyperbolic systems
Gang Liao, Wenxiang Sun, Shirou Wang
We prove that entropy map is upper semi-continuous for C1 nonuniformly hyperbolic systems with domination, while it is not true for C1+alpha nonuniformly hyperbolic systems in gene…