3 citations · 8 across the 9 of their papers we have counts for
Showing 2021Show all
2 papers · 1 filter
math.NT2021
Hausdorff dimension of Gauss--Cantor sets and two applications to classical Lagrange and Markov spectra
Carlos Matheus, Carlos Gustavo Moreira, Mark Pollicott +1
This paper is dedicated to the study of two famous subsets of the real line, namely Lagrange spectrum and Markov spectrum . Our first result, Theorem 2.1, provides a rigorou…
math.DS2021
Uniform lower bounds on the dimension of Bernoulli convolutions
Victor Kleptsyn, Mark Pollicott, Polina Vytnova
In this note we present an algorithm to obtain a uniform lower bound on Hausdorff dimension of the stationary measure of an affine iterated function scheme with similarities, the b…