12 papers · 1 filter
Validated numerics for the Gauss problem on continued fractions
M. Pollicott
We get estimates on the Gauss-Kuzmin-Wirsing constant for continued fractions.
The Hausdorff dimension of the set where the Minkowski question mark function has infinite derivative
M. Pollicott
We get bounds on the Hausdorff dimension of the set where the Minkowski question mark function has infinite derivative.
Effective intrinsic ergodicity for expanding interval maps
Mark Pollicott
We describe the anlogue of the Einsidler, Kaydev, Polo and Sarig on Intrinsic Ergodicity in the simple setting of expanding maps and, in particular, -transformations.
Dimension of the Feigenbaum Attractor
Mark Pollicott
In this note we propose an effective method to estimate the dimension of the Feigenbaum attractor for the period doubling phenomenon. In particular, we will describe a way to conve…
Orbital Counting in Conjugacy Classes
Alexander Baumgartner, Mark Pollicott
In this article we consider a restricted orbital counting problem for the action of certain discrete groups on suitable spaces. In particular, we present asymptotics for counting t…
Transitivity and an abelian Livsic theorem for covers
Mark Pollicott, Richard Sharp
We show that the abelian LivÅ¡ic theorem recently obtained by A. Gogolev and F. Rodriguez Hertz for null-homologous periodic orbits of homologically full Anosov flows continues to…