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math.DS2020★ 1 cited
Hausdorff dimension estimates applied to Lagrange and Markov spectra, Zaremba theory, and limit sets of Fuchsian groups
Mark Pollicott, Polina Vytnova
In this note we will describe a simple and practical approach to get rigorous bounds on the Hausdorff dimension of limits sets for some one dimensional Markov iterated function sch…
math.DS2020★ 3 cited
How many inflections are there in the Lyapunov spectrum?
Oliver Jenkinson, Mark Pollicott, Polina Vytnova
Iommi & Kiwi showed that the Lyapunov spectrum of an expanding map need not be concave, and posed various problems concerning the possible number of inflection points. In this pape…