This volume presents advanced research in stochastic processes and a comprehensive graduate course on particle systems. The book compiles 19 contributions covering both commutative and non-commutative stochastic processes, offering insights into the latest developments in the field. Additionally, it features an extensive 145-page course by P. del Moral and L. Miclo, which delves into branching and interacting particle systems and their applications in non-linear filtering.

This volume is recognized as a significant contribution to the field of stochastic processes, offering both cutting-edge research and a detailed pedagogical resource. The inclusion of a comprehensive graduate course on particle systems makes it particularly valuable for researchers and advanced students. Its dual nature, combining research papers with an in-depth course, suggests it serves as both a record of current advancements and a foundational text for future study.