Local Times and Excursion Theory for Brownian Motion

“The lecture notes provide an elementary and brief introduction to local times for continuous semimartingales and excursion theory for Brownian motion. … The lecture notes are an easily accessible and self-contained introduction … which are suitable for graduate students with a basic knowledge of stochastic processes in continuous time. … the proofs are mostly carried out with many details and helpful references are given in each chapter.” (David Prömel, zbMATH 1364.60003, 2017)

• Prerequisites.- Local times of continuous semimartingales.- Excursion theory for Brownian paths.- Some applications of Excursion Theory.- Index.