2 citations · 2 across the 2 of their papers we have counts for
3 papers
math.DS2020
Margulis-Ruelle inequality for general manifolds
Gang Liao, Na Qiu
In this paper we investigate the Margulis-Ruelle inequality for general Riemannian manifolds (possibly noncompact and with boundary) and show that it always holds under integrable…
math.DS2019★ 2 cited
Upper bounds on measure theoretic tail entropy for dominated splittings
Yongluo Cao, Gang Liao, Zhiyuan You
For differentiable dynamical systems with dominated splittings, we give upper estimates on the measure-theoretic tail entropy in terms of Lyapunov exponents. As our primary applica…
math.DS2019
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…