23 citations · 44 across the 10 of their papers we have counts for
4 papers · 1 filter
Random fractals and tree-indexed Markov chains
Arnaud Durand
We study the size properties of a general model of fractal sets that are based on a tree-indexed family of random compacts and a tree-indexed Markov chain. These fractals may be re…
Random wavelet series based on a tree-indexed Markov chain
Arnaud Durand
We study the global and local regularity properties of random wavelet series whose coefficients exhibit correlations given by a tree-indexed Markov chain. We determine the law of t…
Singularity sets of Levy processes
Arnaud Durand
We completely describe the size and large intersection properties of the Holder singularity sets of Levy processes. We also study the set of times at which a given function cannot…
Ubiquitous systems and metric number theory
Arnaud Durand
We investigate the size and large intersection properties of where $d\in\N…