Lingmin Liao

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math.DS2008

Generic points in systems of specification and Banach valued Birkhoff ergodic average

Ai-Hua Fan, Lingmin Liao, Jacques Peyrière

We prove that systems satisfying the specification property are saturated in the sense that the topological entropy of the set of generic points of any invariant measure is equal t…

math.DS2008

On Khintchine exponents and Lyapunov exponents of continued fractions

Ai-Hua Fan, Ling-Min Liao, Bao-Wei Wang +1

Assume that $x \in [0, 1)$ admits its continued fraction expansion $x = [a_{1} (x), a_{2} (x), ...]$ . The Khintchine exponent $γ (x)$ of $x$ is defined by $γ(x):=\lim\limits_{n\to \infty}\fra…