Malliavin Calculus for Lévy Processes and Infinite-Dimensional Brownian Motion (Cambridge Tracts in Mathematics)

This book delves into the intricate world of Malliavin calculus as applied to Lévy processes and infinite-dimensional Brownian motion. It provides a comprehensive framework that allows readers to explore advanced probabilistic concepts and stochastic analysis. Through carefully structured discussions, the author guides readers from foundational theories to complex applications, shedding light on the mathematical tools necessary for navigating this sophisticated field.

By emphasizing the interplay between techniques from Malliavin calculus and the properties of Lévy processes, the work breaks new ground for both researchers and practitioners. Readers will find valuable insights into the implications of these mathematical structures in areas ranging from finance to physics, making it a crucial resource for anyone looking to deepen their understanding of modern stochastic calculus.