243 citations · 1.7k across the 42 of their papers we have counts for
Showing 2011 · math.PRShow all
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math.PR2011★ 17 cited
The measurable Kesten theorem
Miklos Abert, Yair Glasner, Balint Virag
We give explicit estimates between the spectral radius and the densities of short cycles for finite d-regular graphs. This allows us to show that the essential girth of a finite d-…
math.PR2011★ 30 cited
The scaling limit of the critical one-dimensional random Schrodinger operator
Evgenij Kritchevski, Benedek Valko, Balint Virag
We consider two models of one-dimensional discrete random Schrodinger operators (H_n ψ)_l =ψ_{l-1}+ψ_{l +1}+v_l ψ_l, ψ_0=ψ_{n+1}=0 in the cases v_k=σω_k/\sqrt{n} and v_k=σω_k/ \sqr…
math.PR2011★ 16 cited
Positive speed for high-degree automaton groups
Gideon Amir, Balint Virag
Mother groups are the basic building blocks for polynomial automaton groups. We show that, in contrast with mother groups of degree 0 or 1, any bounded, symmetric, generating rando…