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Upper and Lower Bounds of Stochastic Processes
The fundamental question of characterizing continuity and boundedness of Gaussian processes goes back to Kolmogorov. After contributions by R. Dudley ...
Isoperimetry and Processes
Based on recent developments, such as new isoperimetric inequalities and random process techniques, this book presents a thorough treatment of the mai...
Cavity and Mean Field Models
In the eighties, a group of theoretical physicists introduced several models for certain disordered systems, called "spin glasses". These models are s...
Modern Methods and Classical Problems
The book develops modern methods and in particular the "generic chaining" to bound stochastic processes. This methods allows in particular to get opti...
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What is high dimensional probability? Under this broad name we collect topics with a common philosophy, where the idea of high dimension plays a key r...
Ecole d'Eté de Probabilités de Saint-Flour XXX - 2000
In World Mathematical Year 2000 the traditional St. Flour Summer School was hosted jointly with the European Mathematical Society. Sergio Albeverio re...
Test of the Greenberger and Strasser Model
Decomposition Theorems
This book provides an in-depth account of modern methods used to bound the supremum of stochastic processes. Starting from first principles, it takes ...