Jian Ding

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20212026

most citedA New Correlation Inequality for Ising Models with External Fields

2 citations · 3 across the 11 of their papers we have counts for

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Showing 2024 · math.PRShow all

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math.PR2024★ 1 cited

One-arm Probabilities for Metric Graph Gaussian Free Fields below and at the Critical Dimension

Zhenhao Cai, Jian Ding

For the critical level-set of the Gaussian free field on the metric graph of $Z^{d}$ , we consider the one-arm probability $θ_{d} (N)$ , i.e., the probability that the boundary of…

math.PR2024

Polynomial lower bound on the effective resistance for the one-dimensional critical long-range percolation

Jian Ding, Zherui Fan, Lu-Jing Huang

In this work, we study the critical long-range percolation on $Z$ , where an edge connects $i$ and $j$ independently with probability $1 - exp {- β ∣ i - j ∣^{- 2}}$ for some fixe…