10 citations · 11 across the 5 of their papers we have counts for
6 papers
Permanents of heavy-tailed random matrices with positive elements
Tonći Antunović
We study the asymptotic behavior of permanents of random matrices with positive entries. We assume that has either i.i.d. entries or is a symmetric matrix with…
Tug-of-war and infinity Laplace equation with vanishing Neumann boundary condition
Tonći Antunović, Yuval Peres, Scott Sheffield +1
We study a version of the stochastic "tug-of-war" game, played on graphs and smooth domains, with the empty set of terminal states. We prove that, when the running payoff function…
Isolated zeros for Brownian motion with variable drift
Tonći Antunović, Krzysztof Burdzy, Yuval Peres +1
It is well known that standard one-dimensional Brownian motion B(t) has no isolated zeros almost surely. We show that for any alpha<1/2 there are alpha-Hölder continuous functions…
Brownian motion with variable drift can be space-filling
Tonći Antunović, Yuval Peres, Brigitta Vermesi
For let be standard -dimensional Brownian motion. For any we construct an -Hölder continuous function so that the ra…
Spectral asymptotics of percolation Hamiltonians on amenable Cayley graphs
Tonći Antunović, Ivan Veselić
In this paper we study spectral properties of adjacency and Laplace operators on percolation subgraphs of Cayley graphs of amenable, finitely generated groups. In particular we des…
Equality of Lifshitz and van Hove exponents on amenable Cayley graphs
Tonći Antunović, Ivan Veselić
We study the low energy asymptotics of periodic and random Laplace operators on Cayley graphs of amenable, finitely generated groups. For the periodic operator the asymptotics is c…