This book offers an introduction to rough paths. Coverage also includes the interface between analysis and probability to special processes, Lévy processes and Lévy systems, representation of Gaussian processes, filtrations and quantum probability.
Séminaire de Probabilités XXXVII
Séminaire de Probabilités XLIII
Séminaire de Probabilités XXXVIII
A Course on Rough Paths With an Introduction to Regularity Structures
Séminaire de Probabilités XLI
Séminaire de Probabilités XLV
Malliavin Calculus for Lévy Processes with Applications to Finance
Seminaire de Probabilites XXIII
Séminaire de Probabilités XLIV
Potential Analysis of Stable Processes and its Extensions