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- Université Paris NanterreFR84 papers
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5 papers · 2 filters
Convex lattice polygonal lines with a constrained number of vertices
Julien Bureaux, Nathanaël Enriquez
A detailed combinatorial analysis of planar convex lattice polygonal lines is presented. This makes it possible to answer an open question of Vershik regarding the existence of a l…
Volumes in the Uniform Infinite Planar Triangulation: from skeletons to generating functions
Laurent Ménard
We develop a method to compute the generating function of the number of vertices inside certain regions of the Uniform Infinite Planar Triangulation (UIPT). The computations are mo…
On the number of lattice convex chains
Julien Bureaux, Nathanaël Enriquez
An asymptotic formula is presented for the number of planar lattice convex polygonal lines joining the origin to a distant point of the diagonal. The formula involves the non-trivi…
The rate of convergence for the renewal theorem in
Jean-Baptiste Boyer
Let be a borelian probability measure on . Consider the random walk on defined by : for any $x\in \mathbb{R}…
Invariance for Rough Differential Equations
Laure Coutin, Nicolas Marie
In 1990, in Itô's stochastic calculus framework, Aubin and Da Prato established a necessary and sufficient condition of invariance of a nonempty compact or convex subset of $\m…