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[null,"1.","Record Nr.",null,"UNINA9910151932903321"]
[null,null,"Autore",null,"Weber Michel"]
[null,null,"Titolo",null,"Dynamical Systems and Processes [[electronic resource] /] / Michel Weber"]
[null,null,"Pubbl/distr/stampa",null,"Zuerich, Switzerland, : European Mathematical Society Publishing House, 2009"]
[null,null,"ISBN",null,"3-03719-546-0"]
[null,null,"Descrizione fisica",null,"1 online resource (773 pages)"]
[null,null,"Collana",null,"IRMA Lectures in Mathematics and Theoretical Physics (IRMA) ; , 2523-5133 ; ; 14"]
[null,null,"Classificazione",null,"37-xx60-xx"]
[null,null,"Soggetti",null,"Stochastics"]
[{"$nulls":4},"Dynamical systems and ergodic theory"]
[{"$nulls":4},"Probability theory and stochastic processes"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Sommario/riassunto","This book presents in a concise and accessible way, as well as in  a common setting, various tools and methods arising from spectral  theory, ergodic theory and stochastic processes theory, which  form the basis of and contribute interactively a great deal to the  current research on almost everywhere convergence problems.    The text is divided into four parts.     Part I is devoted to spectral results such as von Neumann's theorem,   spectral regularizations inequalities and  their link with square functions and entropy numbers of ergodic averages.  The representation of a weakly  stationary process as Fourier transform of some random orthogonal measure,  and a study of Gaposhkin's  spectral criterion conclude this part.      Classical results  such as   mixing in dynamical systems,  Birkhoff's pointwise theorem,   dominated ergodic theorems,  oscillations functions of ergodic averages,  transference  principle, Wiener-Wintner theorem, Banach principle, continuity principle,  Bourgain's entropy criteria, Burton-Denker's central limit  theorem are covered in part II.      The metric entropy method and the majorizing measure method, including a  succinct study of Gaussian processes, are  treated in part III, with  applications to  suprema of random polynomials.      Part IV contains a  study of Riemann sums and of the convergence  properties of the system {f(nkx), k ≥ 1}, as well as   a probabilistic approach concerning divisors with applications.         Researchers working in dynamical "]
[{"$nulls":4},"systems and at the crossroads of  spectral theory, ergodic theory and stochastic processes will find the  tools, methods and results presented in this book of great interest.  It is written in a style accessible to graduate students throughout."]