Y. Peled

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20242026

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math.PR2026

Local limits of determinantal processes

Asaf Nachmias, Yuval Peled

Let $H_{n}$ be the row space of a signed adjacency matrix of a $C_{4}$ -free bipartite bi-regular graph in which one part has degree $d (n) \to \infty$ and the other part has degree $k + 1$ …

math.PR2025

Sharp Fuss-Catalan thresholds in graph bootstrap percolation

Zsolt Bartha, Brett Kolesnik, Gal Kronenberg +1

We study graph bootstrap percolation on the ErdÅs-RÃ©nyi random graph $G_{n, p}$ . For all $r \geq 5$ , we locate the sharp $K_{r}$ -percolation threshold $p_c \sim (Î³n)^{-1/…