Yuxin Zhou

activity

20232026

collaborators

4 papers

math.PR2026

On the Gardner Transition in the Ising Pure $p$ -Spin Glass II

Yuxin Zhou

In previous work, we identified, for every $p \geq 3$ , a unique first critical temperature $β_{1}^{p}$ and proved that the Parisi measure is replica symmetric (RS) for $0 < β \leq β_{1}^{p}$ and…

math.PR2025

Existence of Full Replica Symmetry Breaking for the Sherrington-Kirkpatrick Model at Low Temperature

Yuxin Zhou

We prove the existence of full replica symmetry breaking (FRSB) for the Sherrington-Kirkpatrick (SK) model at low temperature. More specifically, we prove that slightly beyond the…

math.PR2024

On the Gardner Transition in the Ising Pure $p$ -Spin Glass

Yuxin Zhou

We prove the existence of one-step replica symmetry breaking (1RSB) for the mean field Ising spin glasses at finite temperature and identify the first critical temperature in Gardn…

math.PR2023

The Spherical Mixed $p$ -Spin Glass At Zero Temperature

Yuxin Zhou

We consider the spherical mixed $p$ -spin models and investigate the structure of the Parisi measure at zero temperature. We prove that for the spherical spin models with $n$ compon…

On the Gardner Transition in the Ising Pure p-Spin Glass II

Existence of Full Replica Symmetry Breaking for the Sherrington-Kirkpatrick Model at Low Temperature

On the Gardner Transition in the Ising Pure p-Spin Glass

The Spherical Mixed p-Spin Glass At Zero Temperature

On the Gardner Transition in the Ising Pure $p$ -Spin Glass II

On the Gardner Transition in the Ising Pure $p$ -Spin Glass

The Spherical Mixed $p$ -Spin Glass At Zero Temperature