Spatial Branching Processes, Random Snakes and Partial Differential Equations

This book introduces several remarkable new probabilistic objects that combine spatial motion with a continuous branching phenomenon and are closely related to certain semilinear partial differential equations (PDE). The Brownian snake approach is used to give a powerful representation of super processes and also to investigate connections between super processes and PDEs. These are notable because almost every important probabilistic question corresponds to a significant analytic problem.Le Gall, J. F. is the author of 'Spatial Branching Processes, Random Snakes and Partial Differential Equations' with ISBN 9780817661267 and ISBN 0817661263.