6 citations · 7 across the 3 of their papers we have counts for
3 papers
math.DS2015
The Hausdorff dimension spectrum of Conformal Graph Directed Markov Systems and applications to Nearest Integer continued fractions
Andrei E. Ghenciu, Sara Munday, Mario Roy
In this paper, we consider two dynamical systems associated to the nearest integer continued fraction, and show that both of them have full Hausdorff dimension spectrum.
math.DS2008★ 1 cited
Multifractal analysis for conformal graph directed Markov systems
Mario Roy, Mariusz Urbanski
We derive the multifractal analysis of the conformal measure (or equivalently, the invariant measure) associated to a family of weights imposed upon a (multi-dimensional) graph dir…
math.DS2008★ 6 cited
Analytic families of holomorphic iterated function systems
Mario Roy, Hiroki Sumi, Mariusz Urbanski
This paper deals with analytic families of holomorphic iterated function systems. Using real analyticity of the pressure function (which we prove), we establish a classification th…