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Lévy processes, that is, processes in continuous time with stationary and independent increments, form a flexible class of models, which have been app...Savoir plus
This is yet another indispensable volume for all probabilists and collectors of the Saint-Flour series, and is also of great interest for mathematical...Savoir plus
This volume contains lectures given at the Saint-Flour Summer School of Probability Theory during 17th Aug. - 3rd Sept. 1998. The contents of the thre...Savoir plus
Queueing networks constitute a large family of stochastic models, involving jobs that enter a network, compete for service, and eventually leave the n...Savoir plus
In these lecture notes, we will analyze the behavior of random walk on disordered media by means of both probabilistic and analytic methods, and will ...Savoir plus
This volume contains lectures given at the Saint-Flour Summer School of Probability Theory during the period 8th-24th July, 1999. We thank the authors...Savoir plus
This book addresses the emerging body of literature on the study of rare events in random graphs and networks. For example, what does a random graph l...Savoir plus
This open access book focuses on the interplay between random walks on planar maps and Koebe's circle packing theorem. Further topics covered include ...Savoir plus
Each year young mathematicians congregate in Saint Flour, France, and listen to extended lecture courses on new topics in Probability Theory. The goal...Savoir plus
This up-to-date overview of Bayesian nonparametric statistics provides both an introduction to the field and coverage of recent research topics, inclu...Savoir plus
These lecture notes provide an introduction to the applications of Brownian motion to analysis and more generally, connections between Brownian motion...Savoir plus
The purpose of these notes is to explore some simple relations between Markovian path and loop measures, the Poissonian ensembles of loops they determ...Savoir plus
This volume contains lectures given at the 31st Probability Summer School in Saint-Flour (July 8-25, 2001). Simon Tavaré's lectures serve as an introd...Savoir plus
These lecture notes study the interplay between randomness and geometry of graphs. The first part of the notes reviews several basic geometric concept...Savoir plus
Concentration inequalities have been recognized as fundamental tools in several domains such as geometry of Banach spaces or random combinatorics. The...Savoir plus
From the reviews: "The book is an introduction to the general theory of empirical risk minimization with an emphasis on excess risk bounds and oracle ...Savoir plus
The book deals with the random perturbation of PDEs which lack well-posedness, mainly because of their non-uniqueness, in some cases because of blow-u...Savoir plus
This volume contains two of the three lectures that were given at the 33 rd Probability Summer School in Saint-Flour (July 6-23, 2003). Amir Dembo's c...Savoir plus
Providing an elementary introduction to branching random walks, the main focus of these lecture notes is on the asymptotic properties of one-dimension...Savoir plus
Analyzing the phase transition from diffusive to localized behavior in a model of directed polymers in a random environment, this volume places partic...Savoir plus
Polymer chains that interact with themselves and/or with their environment are fascinating objects, displaying a range of interesting physical and che...Savoir plus
The purpose of this text is to bring graduate students specializing in probability theory to current research topics at the interface of combinatorics...Savoir plus
Taking the Lasso method as its starting point, this book describes the main ingredients needed to study general loss functions and sparsity-inducing r...Savoir plus
This book contains two of the three lectures given at the Saint-Flour Summer School of Probability Theory during the period August 18 to September 4, ...Savoir plus