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19942026
most citedMott transition and transport crossovers in the organic compound

258 citations

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Showing 2022 · math.PRShow all

5 papers · 2 filters

math.PR2022

Marches aléatoires dans un cône et fonctions discrètes harmoniques

Kilian Raschel, Pierre Tarrago

Random walks in cones have the double interest of being at the heart of many probabilistic problems and of being related to many mathematical fields, such as spectral theory, combi…

math.PR2022

Random walks with drift inside a pyramid: convergence rate for the survival probability

Rodolphe Garbit, Kilian Raschel

We consider multidimensional random walks in pyramids, which by definition are cones formed by finite intersections of half-spaces. The main object of interest is the survival prob…

math.PR2022★ 5 cited

A dual skew symmetry for transient reflected Brownian motion in an orthant

Sandro Franceschi, Kilian Raschel

We introduce a transient reflected Brownian motion in a multidimensional orthant, which is either absorbed at the apex of the cone or escapes to infinity. We address the question o…

math.PR2022

Stationary Brownian motion in a 3/4-plane: Reduction to a Riemann-Hilbert problem via Fourier transforms

Guy Fayolle, Sandro Franceschi, Kilian Raschel

The stationary reflected Brownian motion in a three-quarter plane has been rarely analyzed in the probabilistic literature, in comparison with the quarter plane analogue model. In…

math.PR2022★ 1 cited

Creeping of Lévy processes through curves

Loïc Chaumont, Thomas Pellas

A Lévy process is said to creep through a curve if, at its first passage time across this curve, the process reaches it with positive probability. We first study this property for…