3 citations · 3 across the 3 of their papers we have counts for
4 papers · 1 filter
Realization of Anosov Diffeomorphisms on the Torus
Tamara Kucherenko, Anthony Quas
We study area preserving Anosov maps on the two-dimensional torus within a fixed homotopy class. We show that the set of pressure functions for Anosov diffeomorphisms with respect…
BCZ map is weakly mixing
Yitwah Cheung, Anthony Quas
The BCZ map was introduced in 2001 by Boca, Cobeli and Zaharescu as a tool to study the statistical properties of Farey sequences, whose relation to Riemann Hypothesis dates back t…
Lyapunov exponents of orthogonal-plus-normal cocycles
Sam Bednarski, Anthony Quas
We consider products of matrices of the form where is a sequence of orthogonal matrices and has independent standard normal entries and the $…
A semi-invertible Oseledets Theorem with applications to transfer operator cocycles
Gary Froyland, Simon Lloyd, Anthony Quas
Oseledets' celebrated Multiplicative Ergodic Theorem (MET) is concerned with the exponential growth rates of vectors under the action of a linear cocycle on R^d. When the linear ac…