Stochastic Analysis and Related Topics

Since the early eighties, Ali Süleyman Üstünel has been one of the main contributors to the development of so-called Malliavin calculus. In honor of his 60th birthday, several prominent researchers in this field gave truly exciting talks in Paris in June 2010. This volume presents scientific contributions of that conference. Probability theory is first and foremost aimed at solving real-life problems displaying randomness, and Markov processes are one of the key tools for modeling. Their applications are illustrated through several papers on inventory control, mutation-selection in genetics and public-private partnerships. Furthermore, stochastic differential equations, be they partial or ordinary, also play a key role in stochastic modeling. Examples are analyzed in two of the contributions presented in this volume, which share a focus on probabilistic tools, namely stochastic analysis and stochastic calculus. Three other papers are devoted more to the theoretical development of these aspects. This volume is intended for graduate students and researchers interested in stochastic analysis and its applications.