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Ru-Pei Yan

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Preprint Sep 2026

Uniform displacement bounds and Gibbs limits for periodic one-dimensional Riesz gases

For the neutral periodic one-dimensional Riesz gas with pair potential locally $-|x|^a$, $0<a<1$, we prove a particle-displacement variance bound of order $\beta^{-1}$, uniformly in the number of particles. Log-concavity also gives exponential displacement tails. Every stationary periodic thermodynamic limit is simple,...

Ru-Pei Yan · 0 citations
Preprint Sep 2026

Towards the spin-glass transition in finite dimensions via blue percolation

We prove blue percolation in the Chayes-Machta-Redner representation of the zero-field Edwards-Anderson spin glass in finite dimensions. For fixed symmetric iid couplings with $0<m=\mathbb{E}|J|<\infty$, the first blue-percolation inverse temperature $\beta_{\mathrm{b}}(d)$ satisfies $2dm\,\beta_{\mathrm{b}}(d)\to1$ as...

Ru-Pei Yan · 1 citation

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