2 papers
math.PR2025
Asymptotics of returns to the coordinate hyperplanes for conditioned simple random walks
Rodolphe Garbit, Kilian Raschel
In this paper we study the number of returns to the coordinate hyperplanes for multidimensional nearest-neighbour random walks. While one-dimensional results on returns are classic…
math.CA2024
A family of Fourier transform's eigenfunctions
Rodolphe Garbit, Julien-Bilal Zinoune
This paper presents a family of Fourier eigenfunctions indexed by the space dimension d. These eigenfunctions are radial and built upon some generalized exponential integral functi…