38 citations · 78 across the 4 of their papers we have counts for
4 papers
Spectral gap in the group of affine transformations over prime fields
Elon Lindenstrauss, Peter P. Varju
We study random walks on the semi-direct product of F_p^d and SL_d(F_p). We estimate the spectral gap in terms of the spectral gap of the projection to the linear part SL_d(F_p). T…
Random walks in compact groups
Péter Pál Varjú
Let X_1,X_2,... be independent identically distributed random elements of a compact group G. We discuss the speed of convergence of the law of the product X_l*...*X_1 to the Haar m…
Expansion in perfect groups
Alireza Salehi Golsefidy, Péter P. Varjú
Let Ga be a subgroup of GL_d(Q) generated by a finite symmetric set S. For an integer q, denote by Ga_q the subgroup of Ga consisting of the elements that project to the unit eleme…
Expansion in SL_d(Z/qZ), q arbitrary
Jean Bourgain, Péter P. Varjú
Let S be a fixed finite symmetric subset of SL_d(Z), and assume that it generates a Zariski-dense subgroup G. We show that the Cayley graphs of pi_q(G) with respect to the generati…