Lingmin Liao

activity

20082026

most citedUniform Diophantine approximation related to

b

-ary and

β

-expansions

29 citations · 149 across the 38 of their papers we have counts for

collaborators

Showing 2017 · math.DSShow all

3 papers · 2 filters

math.DS2017★ 1 cited

Periodic $p$ -adic Gibbs measures of $q$ -states Potts model on Cayley tree: The chaos implies the vastness of $p$ -adic Gibbs measures

Mohd Ali Khameini Ahmad, Lingmin Liao, Mansoor Saburov

We study the set of $p$ -adic Gibbs measures of the $q$ -states Potts model on the Cayley tree of order three. We prove the vastness of the periodic $p$ -adic Gibbs measures for such…

math.DS2017★ 2 cited

Multifractal analysis of the Birkhoff sums of Saint-Petersburg potential

Dong Han Kim, Lingmin Liao, Michal Rams +1

Let $((0, 1], T)$ be the doubling map in the unit interval and $φ$ be the Saint-Petersburg potential, defined by $φ (x) = 2^{n}$ if $x \in (2^{- n - 1}, 2^{- n}]$ for all $n \geq 0$ . We consid…

math.DS2017

Rational map ax+1/x on the projective line over $Q_{2}$

Shilei Fan, Lingmin Liao

The dynamical structure of the rational map $a x + 1/ x$ on the projective line over the field Q2 of $2$ -adic numbers, is fully described.

Periodic p-adic Gibbs measures of q-states Potts model on Cayley tree: The chaos implies the vastness of p-adic Gibbs measures

Multifractal analysis of the Birkhoff sums of Saint-Petersburg potential

Rational map ax+1/x on the projective line over Q2​

Periodic $p$ -adic Gibbs measures of $q$ -states Potts model on Cayley tree: The chaos implies the vastness of $p$ -adic Gibbs measures

Rational map ax+1/x on the projective line over $Q_{2}$