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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...Lees meer
This is yet another indispensable volume for all probabilists and collectors of the Saint-Flour series, and is also of great interest for mathematical...Lees meer
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...Lees meer
Queueing networks constitute a large family of stochastic models, involving jobs that enter a network, compete for service, and eventually leave the n...Lees meer
Each year young mathematicians congregate in Saint Flour, France, and listen to extended lecture courses on new topics in Probability Theory. The goal...Lees meer
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 ...Lees meer
This open access book focuses on the interplay between random walks on planar maps and Koebe's circle packing theorem. Further topics covered include ...Lees meer
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...Lees meer
First book-length treatment of large deviations for random graphs, plus a chapter on exponential random graphs Contains a summary of important results...Lees meer
This up-to-date overview of Bayesian nonparametric statistics provides both an introduction to the field and coverage of recent research topics, inclu...Lees meer
These lecture notes provide an introduction to the applications of Brownian motion to analysis and more generally, connections between Brownian motion...Lees meer
The purpose of these notes is to explore some simple relations between Markovian path and loop measures, the Poissonian ensembles of loops they determ...Lees meer
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...Lees meer
These lecture notes study the interplay between randomness and geometry of graphs. The first part of the notes reviews several basic geometric concept...Lees meer
Concentration inequalities have been recognized as fundamental tools in several domains such as geometry of Banach spaces or random combinatorics. The...Lees meer
The purpose of these lecture notes is to provide an introduction to the general theory of empirical risk minimization with an emphasis on excess risk ...Lees meer
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...Lees meer
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...Lees meer
Providing an elementary introduction to branching random walks, the main focus of these lecture notes is on the asymptotic properties of one-dimension...Lees meer
Analyzing the phase transition from diffusive to localized behavior in a model of directed polymers in a random environment, this volume places partic...Lees meer
Polymer chains that interact with themselves and/or with their environment are fascinating objects, displaying a range of interesting physical and che...Lees meer
Three series of lectures were given at the 32nd Probability Summer School in Saint-Flour (July 7-24, 2002), by the Professors Pitman, Tsirelson and We...Lees meer
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, ...Lees meer