论文标题
游行Aléatoiresdans uncôneet fonctionsdiscètes和谐
Marches aléatoires dans un cône et fonctions discrètes harmoniques
论文作者
论文摘要
锥体中的随机步行具有双重兴趣，即成为许多概率问题的核心，并且与许多数学领域有关，例如光谱理论，组合学或离散的复杂分析。在本文中，我们介绍了与这些过程相关的一些关键思想：我们将讨论它们的定义，与锥体中的布朗运动的联系以及一些最近的研究主题，例如构建离散谐波功能。
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.
