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Upper and Lower Bounds for Stochastic Processes: Modern Methods and Classical Problems - Couverture rigide

Livre 149 sur 184: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge/A Series of Modern Surveys in Mathematics

Talagrand, Michel

 
9783642540745: Upper and Lower Bounds for Stochastic Processes: Modern Methods and Classical Problems

Synopsis

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.

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Présentation de l'éditeur

In addition to its central focus on generic chaining, which allows for optimal bounds in Gaussian and Bernoulli processes, this volume on modern stochastic methods includes key applications and a variety of complete solutions to a number of classical problems.

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