Ru-Pei Yan

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20212026

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math-ph2026

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

Yan Ru Pei

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 $β^{- 1}$ , uniformly in th…

math-ph2026

Critical and near-critical influence bounds for ferromagnetic Ising models

Yan Ru Pei

For a ferromagnetic Ising model on a graph of maximum degree $Δ \geq 3$ , we prove a bound of order $n$ on every row of the influence matrix at the tree uniqueness threshold. The…