243 citations · 1.7k across the 42 of their papers we have counts for
Showing 2003Show all
3 papers · 1 filter
math.PR2003★ 108 cited
Zeros of the i.i.d. Gaussian power series: a conformally invariant determinantal process
Yuval Peres, Balint Virag
Consider the zero set of the random power series f(z)=sum a_n z^n with i.i.d. complex Gaussian coefficients a_n. We show that these zeros form a determinantal process: more precise…
math.PR2003★ 23 cited
Brownian beads
Balint Virag
We show that the past and future of half-plane Brownian motion at certain cutpoints are independent of each other after a conformal transformation. Like in Ito's excursion theory,…
math.GR2003★ 140 cited
Amenability via random walks
Laurent Bartholdi, Balint Virag
We answer an open question of Grigorchuk and Zuk about amenability using random walks. Our results separate the class of amenable groups from the closure of subexponentially growin…