David Renault

activity

20032013

collaborators

4 papers

math.ST2013

A functional central limit theorem for the partial sums of sorted i.i.d. random variables

Jean-François Marckert, David Renault

Let $(X_{i}, i \geq 1)$ be a sequence of i.i.d. random variables with values in $[0, 1]$ , and $f$ be a function such that $‘ E (f (X_{1})^{2}) < + \infty$ . We show a functional central limit theo…

math.PR2012

Compact convex sets of the plane and probability theory

Jean-François Marckert, David Renault

The Gauss-Minkowski correspondence in $R^{2}$ states the existence of a homeomorphism between the probability measures $μ$ on $[0, 2 π]$ such that $\int_{0}^{2 π} e^{i x} d μ (x) = 0$ …

cs.DM2004

The vertex-transitive TLF-planar graphs

D. Renault

We consider the class of the topologically locally finite (in short TLF) planar vertex-transitive graphs, a class containing in particular all the one-ended planar Cayley graphs an…

cs.DM2003

Enumerating planar locally finite Cayley graphs

David Renault

We characterize the set of planar locally finite Cayley graphs, and give a finite representation of these graphs by a special kind of finite state automata called labeling schemes.…