Jie Cao

collaborators

3 papers

math.FA2026

The optimal hypercontractive constants for $Z_{3}$ and biased Bernoulli random variables

Jie Cao, Shilei Fan, Yong Han +2

We resolve a folklore problem of determining the optimal hypercontractive constants $r_{p, q} (Z_{3})$ for the cyclic group $Z_{3}$ for all $1 < p < q < \infty$ . More p…

math-ph2025

Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator

Jie Cao, Xianzhe Li, Baowei Wang +1

This paper focuses on the fractal characteristics of the absolutely continuous spectral measure of the subcritical almost Mathieu operator (AMO) and Diophantine frequency. In parti…

math.DS2025

Equilibrium States, Zero Temperature Limits and Entropy Continuity for Almost-Additive Potentials

Jie Cao

This paper is devoted to study the equilibrium states for almost-additive potentials defined over topologically mixing countable Markov shifts (that is a non-compact space) without…

The optimal hypercontractive constants for Z3​ and biased Bernoulli random variables

Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator

Equilibrium States, Zero Temperature Limits and Entropy Continuity for Almost-Additive Potentials

The optimal hypercontractive constants for $Z_{3}$ and biased Bernoulli random variables