243 citations · 1.7k across the 42 of their papers we have counts for
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math.PR2009★ 19 cited
Random Schrodinger operators on long boxes, noise explosion and the GOE
Benedek Valko, Balint Virag
It is conjectured that the eigenvalues of random Schrodinger operators at the localization transition in dimensions d>=2 behave like the eigenvalues of the Gaussian Orthogonal Ense…
math.GR2009★ 48 cited
Amenability of linear-activity automaton groups
Gideon Amir, Omer Angel, Balint Virag
We prove that every linear-activity automaton group is amenable. The proof is based on showing that a sufficiently symmetric random walk on a specially constructed degree 1 automat…