Titlebook: Upper and Lower Bounds for Stochastic Processes; Modern Methods and C Michel Talagrand Book 20141st edition Springer-Verlag Berlin Heidelbe

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Philosophy and Overview of the Book, “geometric” characteristics. A fundamental example, which covers in particular the case of Gaussian processes is that of random series ..=∑.....(.), where .. are functions and .. are independent r.v.s. The study of such series occupies a large part of this book.

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Theory and Practice of Empirical Processes,ate for such a “best possible” method, in the spirit of the Bednorz-Latała result of Chapter 5. Whether this natural method is actually optimal is a major open problem. To illustrate that meditating on these theoretical questions might help to solve practical problems, we present a somewhat streamlined proofs of two deep recent results.

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Book 20141st editionnvergence 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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0071-1136 itely divisible processes, matching theorems etc..Gives the 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 processe

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Random Fourier Series and Trigonometric Sums, II, is equivalent to the finiteness of (a proper generalization of) a certain “entropy integral”. We then give examples of application of the abstract theorems to the case of ordinary random Fourier series.

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pter with reflections on context-based learning environments in science by the editors of this book. The conclusion they draw is that professional development of science teachers may be the most important and the most difficult part of the process of teachers creating context-based learning environments in sc978-94-6300-684-2

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