activity
20002023
most citedAsymptotics of numbers of branched coverings of a torus and volumes of moduli spaces of holomorphic differentials

196 citations · 655 across the 31 of their papers we have counts for

collaborators
Showing 2023Show all

2 papers · 1 filter

math.DS2023★ 6 cited

Continuity of the Lyapunov exponents of random matrix products

Artur Avila, Alex Eskin, Marcelo Viana

We prove that the Lyapunov exponents of random products in a (real or complex) matrix group depends continuously on the matrix coefficients and probability weights. More generally,…

math.DS2023★ 2 cited

Geometric properties of partially hyperbolic measures and applications to measure rigidity

Alex Eskin, Rafael Potrie, Zhiyuan Zhang

We give a geometric characterization of the quantitative non-integrability, introduced by Katz, of strong stable and unstable bundles of partially hyperbolic measures and sets in d…