23 citations · 32 across the 7 of their papers we have counts for
5 papers
On randomly placed arcs on the circle
Arnaud Durand
We completely describe in terms of Hausdorff measures the size of the set of points of the circle that are covered infinitely often by a sequence of random arcs with given lengths.…
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…
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…
First-order queries on structures of bounded degree are computable with constant delay
Arnaud Durand, Etienne Grandjean
A bounded degree structure is either a relational structure all of whose relations are of bounded degree or a functional structure involving bijective functions only. In this paper…