3 citations · 8 across the 9 of their papers we have counts for
5 papers · 1 filter
On the graph of the dimension function of the Lagrange and Markov spectra
Carlos Matheus, Carlos Gustavo Moreira, Polina Vytnova
We study the graph of the function encoding the Hausdorff dimensions of the classical Lagrange and Markov spectra with half-infinite lines of the form . For th…
Zeros of the Selberg zeta function for symmetric infinite area hyperbolic surfaces
Mark Pollicott, Polina Vytnova
In the present paper we give a simple mathematical foundation for describing the zeros of the Selberg zeta functions for certain very symmetric infinite area surfaces . Fo…
Groups, drift and harmonic measures
Mark Pollicott, Polina Vytnova
In this short note we will describe an old problem and a new approach which casts light upon it. The old problem is to understand the nature of harmonic measures for cocompact Fuch…
The Bowen$\unicode{x2013}$Series coding and zeros of zeta functions
Mark Pollicott, Polina Vytnova
We give a discussion of the classical Bowen$\unicode{x2013}$Series coding and, in particular, its application to the study of zeta functions associated to geodesic flows and their…
Accurate bounds on Lyapunov exponents for expanding maps of the interval
Mark Pollicott, Polina Vytnova
In this short note we describe a simple but remarkably effective method for rigorously estimating Lyapunov exponents for expanding maps of the interval. We illustrate the applicabi…