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The book develops modern methods and in particular the “generic chaining” to bound stochastic processes. This methods allows in particular to get optimal bounds for Gaussian and Bernoulli processes. Applications are given to stable processes, infinitely divisible processes, matching theorems, the convergence of random Fourier series, of orthogonal series, and to functional analysis. The complete solution of a number of classical problems is given in complete detail, and an ambitious program for future research is laid out.
This is a digital product.
Upper and Lower Bounds for Stochastic Processes: Modern Methods and Classical Problems is written by Michel Talagrand and published by Springer. The Digital and eTextbook ISBNs for Upper and Lower Bounds for Stochastic Processes are 9783642540752, 3642540759 and the print ISBNs are 9783642540745, 3642540740.

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