About
5
Publications
85
Reads
How we measure 'reads'
A 'read' is counted each time someone views a publication summary (such as the title, abstract, and list of authors), clicks on a figure, or views or downloads the full-text. Learn more
1
Citation
Current institution
IMT
Current position
- PhD Student
Publications
Publications (5)
We consider four examples $T=(T(n,k))_{0\le k\le n}$ of combinatorial triangles (Pascal, Stirling of both types, Euler) : through saddle-point asymptotics, their Pascal's formulas define four vector fields, together with their field lines that turn out to be the conjectured limit of sample paths of four well known Markov chains. We prove this asymp...
We study a Brownian motion with drift in a wedge of angle β which is obliquely reflected on each edge along angles ε and δ. We assume that the classical parameter α = (δ+ε−π)/β is greater than 1 and we focus on transient cases where the process can either be absorbed in the vertex or escape to infinity. We show that α ∈ N* is a necessary and suffic...
Recent work on the absorption probability of a Reflected Brownian motion in a wedge.
We consider four examples of combinatorial triangles $\left(T(n,k)\right)_{0\le k\le n}$ (Pascal, Stirling of both types, Euler): their Pascal's formulas define four vector fields, together with their field lines that turn out to be the limit of sample paths of four well known Markov chains. Using saddle-point asymptotics, we prove fluid approximat...