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A simplified approach to Malliavin calculus adapted to Poisson random measures is developed and applied in this book. Called the “lent particle method” it is based on perturbation of the position of particles. Poisson random measures describe phenomena involving random jumps (for instance in mat...
This book provides a compact introduction to the theory of measure-valued branching processes, immigration processes and Ornstein–Uhlenbeck type processes.Measure-valued branching processes arise as high density limits of branching particle systems. The first part of the book gives an analytic con...
A simplified approach to Malliavin calculus adapted to Poisson random measures is developed and applied in this book. Called the “lent particle method” it is based on perturbation of the position of particles. Poisson random measures describe phenomena involving random jumps (for instance in mat...
A simplified approach to Malliavin calculus adapted to Poisson random measures is developed and applied in this book. Called the “lent particle method” it is based on perturbation of the position of particles. Poisson random measures describe phenomena involving random jumps (for instance in mat...
This book provides a compact introduction to the theory of measure-valued branching processes, immigration processes and Ornstein–Uhlenbeck type processes.Measure-valued branching processes arise as high density limits of branching particle systems. The first part of the book gives an analytic con...
This volume comprises a selection of papers originally presented at the 6th International Workshop on Branching Processes and Their Applications (IWBPA24), held from April 8 to 12, 2024, in Badajoz, Spain. The contributions cover a broad spectrum of both theoretical and applied topics within the fie...
This book provides a compact introduction to the theory of measure-valued branching processes, immigration processes and Ornstein–Uhlenbeck type processes.Measure-valued branching processes arise as high density limits of branching particle systems. The first part of the book gives an analytic con...
This new, thoroughly revised and expanded 3rd edition of a classic gives a comprehensive coverage of modern probability in a single book. It is a truly modern text, providing not only classical results but also material that will be important for future research. Much has been added to the...
This new, thoroughly revised and expanded 3rd edition of a classic gives a comprehensive coverage of modern probability in a single book. It is a truly modern text, providing not only classical results but also material that will be important for future research. Much has been added to the...
This new, thoroughly revised and expanded 3rd edition of a classic gives a comprehensive coverage of modern probability in a single book. It is a truly modern text, providing not only classical results but also material that will be important for future research. Much has been added to the...
This volume comprises a selection of papers originally presented at the 6th International Workshop on Branching Processes and Their Applications (IWBPA24), held from April 8 to 12, 2024, in Badajoz, Spain. The contributions cover a broad spectrum of both theoretical and applied topics within the fie...