8 papers · 1 filter
Once-reinforced random walk in high dimensions
Dor Elboim, Gady Kozma
We study the once-reinforced random walk on , which is a self-interacting walk that has a higher probability to cross edges that were already visited. We prove that th…
Diffusivity of the Lorentz mirror walk in high dimensions
Dor Elboim, Antoine Gloria, Felipe Hernández
In the Lorentz mirror walk in dimension , mirrors are randomly placed on the vertices of at density . A light ray is then shot from the origin an…
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…
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 and is absolutely continuous with respect to Lebesgue meas…
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 with independent and identically distributed weights, whose common distribution is uniform on with . F…
The edge-averaging process on graphs with random initial opinions
Dor Elboim, Yuval Peres, Ron Peretz
In several settings (e.g., sensor networks and social networks), nodes of a graph are equipped with initial opinions, and the goal is to estimate the average of these opinions usin…