2022/11/05 by Kilian Raschel, Raschel, Kilian, Pierre Tarrago +1
Biochemistry, Genetics and Molecular Biology · Mathematics · #Combinatorics (math.CO) #Diffusion and Search Dynamics #FOS: Mathematics #Mathematical Dynamics and Fractals #Probability (math.PR) #Stochastic processes and statistical mechanics
paper · pdf · doi:10.48550/arxiv.2211.02925
openalex publication_date 2022/11/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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, combinatorics, or discrete complex analysis. In this article, we present some key ideas associated with these processes: we will discuss their definition, the link with Brownian motion in cones, as well as some recent research topics such as the construction of discrete harmonic functions.