Jules Flin
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View article: Degenerate systems of three Brownian particles with asymmetric collisions: invariant measure of gaps
Degenerate systems of three Brownian particles with asymmetric collisions: invariant measure of gaps Open
We consider a degenerate system of three Brownian particles undergoing asymmetric collisions. We study the gap process of this system and focus on its invariant measure. The gap process is described as an obliquely reflected degenerate Bro…
View article: Pascal's Formulas and Vector Fields
Pascal's Formulas and Vector Fields Open
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 …
View article: Reflected Brownian Motion in a wedge: sum-of-exponential absorption probability at the vertex and differential properties
Reflected Brownian Motion in a wedge: sum-of-exponential absorption probability at the vertex and differential properties Open
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View article: Pascal's formulas and vector fields
Pascal's formulas and vector fields Open
We consider four examples of combinatorial triangles $\left(T(n,k)\right)_{0\le k\le n}$ (Pascal, Stirling of both types, Euler) : through saddle-point asymptotics, their \emph{Pascal's formulas} define four vector fields, together with th…