Ton'ci Antunovi'c

activity

20072011

most citedEquality of Lifshitz and van Hove exponents on amenable Cayley graphs

10 citations · 11 across the 5 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.PR2011★ 1 cited

Permanents of heavy-tailed random matrices with positive elements

Tonći Antunović

We study the asymptotic behavior of permanents of $n \times n$ random matrices $A$ with positive entries. We assume that $A$ has either i.i.d. entries or is a symmetric matrix with…

math.PR2010

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…

math.PR2010

Brownian motion with variable drift can be space-filling

Tonći Antunović, Yuval Peres, Brigitta Vermesi

For $d \geq 2$ let $B$ be standard $d$ -dimensional Brownian motion. For any $α < 1/ d$ we construct an $α$ -Hölder continuous function $f : [0, 1] \to R^{d}$ so that the ra…