196 citations · 655 across the 31 of their papers we have counts for
42 papers
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,…
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…
Nonrelativistic energies and predissociation widths of quasibound states in the Li molecular ions
V. I. Korobov, A. V. Eskin, F. A. Martynenko +1
Muonic molecular ions Li and Li are studied numerically. Using the complex coordinate rotation method we found six rotational states (three for each isoto…
Effective counting of simple closed geodesics on hyperbolic surfaces
Alex Eskin, Maryam Mirzakhani, Amir Mohammadi
We prove a quantitative estimate, with a power saving error term, for the number of simple closed geodesics of length at most on a compact surface equipped with a Riemannian me…
Self-Joinings for 3-IETs
Jon Chaika, Alex Eskin
We show that typical interval exchange transformations on three intervals are not 2-simple answering a question of Veech. Moreover, the set of self-joinings of almost every 3-IET i…
The correction of hadronic nucleus polarizability to hyperfine structure of light muonic atoms
A. V. Eskin, A. P. Martynenko, E. N. Elekina
The calculation of hadronic polarizability contribution of the nucleus to hyperfine structure of muonic hydrogen and helium is carried out within the unitary isobar model and exper…