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On Minkowski dimension of quasicircles
Pour accéder au résumé en anglais à la fin de la thèse, ouvrir le fichier du texte intégral -
Dynamical Systems and Diophantine Approximation
On the 7th, 8th and 9th June 2004 has been held at the Institut Henri Poincaré a conference on ''Dynamical systems and Diophantine approximation''. One of the aims of... -
A generalization of Hausdorff dimension applied to Hilbert cubes and Wasserst...
v2 Largely expanded version, as reflected by the change of title; all part I on generalized Hausdorff dimension is new, as well as the embedding of Hilbert cubes into... -
Multivariate Davenport series
43 pages -
Dynamical Systems in the Analysis of Biological Sequences
The Chaos Game Representation (CGR) maps a sequence of letters taken from a finite alphabet onto the unit square in $R^2$. While it is a popular tool, few mathematical... -
Hausdorff measures and dimensions in non equiregular sub-Riemannian manifolds
This paper is a starting point towards computing the Hausdorff dimension of submanifolds and the Hausdorff volume of small balls in a sub-Riemannian manifold with... -
Matrix semigroups and applications
We study matrix semigroups with different point of view that overlaps. The growth point of view seems to be related with the geometric point of view : we partially... -
Fractional multiplicative processes
International audience -
Gaussian multiplicative chaos and KPZ duality
Typo fixed in the title. To appear in Communications in Mathematical Physics -
General Fragmentation Trees
International audience -
Fractal random series generated by Poisson-Voronoi tessellations
International audience -
Comportement asymptotique de marches aléatoires de branchement dans $\mathbb{...
We compute almost surely (simultaneaously) the Hausdorff dimensions of the sets of infinite branches of the boundary of a super-critical Galton-Watson tree (endowed... -
Higher bifurcation currents, neutral cycles and the Mandelbrot set
accepted for publication at Indiana Univ. Math. J. -
Scaling Limit of Random Planar Quadrangulations with a Boundary
International audience -
On measures driven by Markov chains
We study measures on $[0,1]$ which are driven by a finite Markov chain and which generalize the famous Bernoulli products. We propose a hands-on approach to determine... -
Hausdorff dimension of the set of endpoints of typical convex surfaces
We mainly prove that most $d$-dimensional convex surfaces $\Sigma$ have a set of endpoints of Hausdorff dimension at least $d/3$. An \emph{endpoint} means a point not...
