22 citations · 33 across the 9 of their papers we have counts for
10 papers
Metric entropy and homoclinic growth rate
Gang Liao, Jing Wei
In this paper, we investigate the relationship between chaos and homoclinic orbits from a quantitative perspective. Let f be a C^r diffeomorphism (r > 1) on a compact Riemannian ma…
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…
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…
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…
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…
Asymptotic -expansiveness rate of maps
David Burguet, Gang Liao, Jiagang Yang
We study the rate of convergence to zero of the tail entropy of maps. We give an upper bound of this rate in terms of the growth in of the derivative of order an…
Uniform tail entropy for real analytic maps
Gang Liao
Let be a compact real analytic manifold of finite dimension. There is a function with such that, the tail entropy $h^{*}(f,…
Approximation of Oseledets Splittings
Chao Liang, Gang Liao, Wenxiang Sun
We prove that the Oseledets splittings of an ergodic hyperbolic measure of a diffeomorphism can be approximated by that of atomic measures on hyperbolic periodic orbits.…
Entropy and periodic orbits for equivalent smooth flows
Gang Liao, Wenxiang Sun
Given any , we construct two equivalent flows, one of which has positive topological entropy larger than and admits zero as the exponential growth of periodic orbits…
Variational equalities of entropy in nonuniformly hyperbolic systems
Chao Liang, Gang Liao, Wenxiang Sun +1
In this paper we prove that for an ergodic hyperbolic measure of a diffeomorphism on a Riemannian manifold , there is an -full measured set su…