If interested, please subscribe by https://docs.google.com/forms/d/e/1FAIpQLSfDWIEYewlpF_SWEeVV8DaTrzbftSTST8KQ... UNIVAQ RANDOM TALKS 5 Thursday June 18th 11:00 a.m. - ZOOM Videoconference platform Prof. Arturo Kohatsu-Higa Department of Mathematical Sciences Ritsumeikan University UPPER BOUNDS FOR THE JOINT DENSITY OF A STABLE PROCESS AND ITS MAXIMUM Abstract: In this article, we obtain integration by parts formulas for the joint law of a stable process and its maximum. The argument is based on a multi-level representation for the joint law which uses the theory of convex majorants for stable processes and the Chambers-Mallows-Stuck representation for stable random variables. As applications, we obtain regularity results for the joint law and upper bounds for the density and its space derivatives. Everybody is welcome, please subscribe by the following form The day of the seminar, participants will receive an invitation by e-mail (max. 100 participants)