26 citations · 174 across the 31 of their papers we have counts for
4 papers · 1 filter
The entropy of Lyapunov-optimizing measures of some matrix cocycles
Jairo Bochi, Michał Rams
We consider one-step cocycles of matrices, and we are interested in their Lyapunov-optimizing measures, i.e., invariant probability measures that maximize or minimize…
The geometry of fractal percolation
Michal Rams, Károly Simon
A well studied family of random fractals called fractal percolation is discussed. We focus on the projections of fractal percolation on the plane. Our goal is to present stronger v…
The dimension of projections of fractal percolations
Michal Rams, Károly Simon
\emph{Fractal percolation} or \emph{Mandelbrot percolation} is one of the most well studied families of random fractals. In this paper we study some of the geometric measure theore…
Abundant rich phase transitions in step skew products
L. J. Díaz, K. Gelfert, M. Rams
We study phase transitions for the topological pressure of geometric potentials of transitive sets. The sets considered are partially hyperbolic having a step skew product dynamics…