34 citations · 122 across the 30 of their papers we have counts for
30 papers
Hyperbolicity and Ergodicity in Randomly Perturbed Billiard Systems
Kien Nguyen, Hong-Kun Zhang
In this paper, we investigate the Lyapunov exponents and hyperbolicity of random billiard systems under small stochastic perturbations. Our study begins with a review of the necess…
Lyapunov exponents and nonadapted measures for dispersing billiards
Vaughn Climenhaga, Mark Demers, Yuri Lima +1
For hyperbolic systems with singularities, such as dispersing billiards, Pesin theory as developed by Katok and Strelcyn applies to measures that are "adapted" in the sense that th…
Machine learning independent conservation laws through neural deflation
Wei Zhu, Hong-Kun Zhang, P. G. Kevrekidis
We introduce a methodology for seeking conservation laws within a Hamiltonian dynamical system, which we term ``neural deflation''. Inspired by deflation methods for steady states…
Inducing Schemes with Finite Weighted Complexity
Jianyu Chen, Fang Wang, Hong-Kun Zhang
In this paper, we consider a Borel measurable map of a compact metric space which admits an inducing scheme. Under the finite weighted complexity condition, we establish a thermody…
Topological Entropy Of Generalized Bunimovich Stadium Billiards
Michal Misiurewicz, Hong-Kun Zhang
We estimate from below the topological entropy of the generalized Bunimovich stadium billiards. We do it for long billiard tables, and find the limit of estimates as the length goe…
A Modified PINN Approach for Identifiable Compartmental Models in Epidemiology with Applications to COVID-19
Haoran Hu, Connor M Kennedy, Panayotis G. Kevrekidis +1
A variety of approaches using compartmental models have been used to study the COVID-19 pandemic and the usage of machine learning methods with these models has had particularly no…