Dor Elboim

collaborators

9 papers

math.CO2026

On the maximal dimension of an irreducible representation of the symmetric group

Amol Aggarwal, Dor Elboim

We prove that the maximal dimension $d_{N}$ of an irreducible representation of the symmetric group $S_{N}$ satisfies $$d_N=\sqrt{N!} \, e^{-(\mathfrak{d}+o(1))\sqrt{N} }, \quad N\to \…

math.PR2026

Once-reinforced random walk in high dimensions

Dor Elboim, Gady Kozma

We study the once-reinforced random walk on $Z^{d}$ , which is a self-interacting walk that has a higher probability to cross edges that were already visited. We prove that th…

math.PR2025

Diffusivity of the Lorentz mirror walk in high dimensions

Dor Elboim, Antoine Gloria, Felipe HernÃ¡ndez

In the Lorentz mirror walk in dimension $d \geq 2$ , mirrors are randomly placed on the vertices of $Z^{d}$ at density $p \in [0, 1]$ . A light ray is then shot from the origin an…

math.PR2025

Optimal matchings of randomly perturbed lattices

Dor Elboim, Yinon Spinka, Oren Yakir

Consider a point process in Euclidean space obtained by perturbing the integer lattice with independent and identically distributed random vectors. Under mild assumptions on the la…

math.PR2025

Small ball probabilities for the passage time in planar first-passage percolation

Dor Elboim

We study planar first-passage percolation with independent weights whose common distribution is supported in $(0, \infty)$ and is absolutely continuous with respect to Lebesgue meas…

math.PR2025

Noise sensitivity and variance lower bound for minimal left-right crossing of a square in first-passage percolation

Barbara Dembin, Dor Elboim

We study first-passage percolation on $Z^{2}$ with independent and identically distributed weights, whose common distribution is uniform on ${a, b}$ with $0 < a < b < \infty$ . F…