N. Kawamoto

collaborators

2 papers

math.PR2026

Range convergence and sharp one-arm asymptotics for the critical percolation cluster in high dimensions

M. Cabezas, D. Croydon, A. Fribergh +1

For critical Bernoulli bond percolation on $Z^{d}$ in the high-dimensional regime, we prove that the rescaled empirical measure of the cluster of the origin converges, in a suitable…

math.PR2025

Asymptotic expansion of the critical point for oriented percolation in high dimensions

Noe Kawamoto

We study an asymptotic expansion of the critical point for the nearest-neighbor oriented percolation on $Z^{d}$ in powers of $d^{- 1}$ as $d \to \infty$ . The proof reli…