报告题目：Around Liouville's theorem and the unique continuation principle for a class of non-local operators
时 间：2026年03月17日 （星期二）10：00
地 点：理工南楼621
主 办：数学与统计学院、分析数学及应用教育部重点实验室、福建省分析数学及应用重点实验室、统计学与人工智能福建省高校重点实验室、福建省应用数学中心（福建师范大学）
参加对象：感兴趣的老师和研究生
报告摘要：The classical Liouville theorem (for the Laplacian) says that a bunded harmonic function is already a constant. We give necessary and sufficient conditions under which this theorem remains valid for Lévy operators (roughly speaking: they should not belong to lattice processes). A variation of this theme is the UCP (unique continuation property) which says that a function, that is harmonic on an open subset G and that is zero on G is already zero everywhere. Clearly, this cannot be true for local operators, and we will explore this notion for non-local and discrete Lévy operators. This is joint work with David Berger.
报告人简介：René L. Schilling, born in 1969 in Germany, holds a Dr. rer. nat. in Mathematics from Friedrich-Alexander-Universität Erlangen. He is a W3 Full Professor of Probability Theory at TU Dresden since 2007, with prior professorships at Philipps-Universität Marburg and academic roles in the UK. His research focuses on stochastic processes, Lévy-type processes and measure theory, with 124+ peer-reviewed papers and 11 monographs published by Cambridge UP and De Gruyter. He supervises PhD students, hosts international guest scientists, organizes top stochastic conferences, and serves as Editor-in-Chief of the Journal of Theoretical Probability. He also holds academic leadership roles at TU Dresden, including Dean of the Faculty of Mathematics (2025–). (Word count: 99).