17 citations · 48 across the 24 of their papers we have counts for
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math.GT2007★ 1 cited
Asymptotics of Convex sets in En and Hn
Igor Rivin
We study convex sets C of finite (but non-zero volume in Hn and En. We show that the intersection of any such set with the ideal boundary of Hn has Minkowski (and thus Hausdorff) d…
math.NT2007★ 1 cited
Walks on graphs and lattices -- effective bounds and applications
Igor Rivin
We consider the following situation: G is a finite directed graph, where to each vertex of G is assigned an element of a finite group Gamma. We consider all walks of length N on G,…
math.NT2007★ 2 cited
Walks on groups, counting reducible matrices, polynomials, and surface and free group automorphisms
Igor Rivin
We prove sharp limit theorems on random walks on graphs with values in finite groups. We then apply these results (together with some elementary algebraic geometry, number theory,…