Yuxin Zhou

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20242026

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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…

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

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

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