LEADER 01357nam 2200493 450 001 9910467752703321 005 20200520144314.0 010 $a1-78525-927-X 035 $a(CKB)4330000000003179 035 $a(EBL)4456394 035 $a(MiAaPQ)EBC4456394 035 $a(Au-PeEL)EBL4456394 035 $a(CaPaEBR)ebr11177075 035 $a(OCoLC)945874340 035 $a(EXLCZ)994330000000003179 100 $a20160414h20152015 uy 0 101 0 $afre 135 $aur|n|---||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 00$aArchitecture industrielle $eles usines 210 1$aNew York :$cParkstone International,$d[2015] 210 4$dİ[2015] 215 $a1 online resource (114 p.) 225 1 $aOur Earth 300 $aDescription based upon print version of record. 311 $a1-84484-768-3 410 0$aOur Earth. 606 $aPhotography, Industrial 606 $aIndustrial buildings$vPictorial works 606 $aFactories 608 $aElectronic books. 615 0$aPhotography, Industrial. 615 0$aIndustrial buildings 615 0$aFactories. 676 $a620.0065 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910467752703321 996 $aArchitecture industrielle$92064500 997 $aUNINA LEADER 03120nam 22004095a 450 001 9910151932903321 005 20091109150325.0 010 $a3-03719-546-0 024 70$a10.4171/046 035 $a(CKB)3710000000953846 035 $a(CH-001817-3)105-091109 035 $a(PPN)178155667 035 $a(EXLCZ)993710000000953846 100 $a20091109j20090829 fy 0 101 0 $aeng 135 $aurnn|mmmmamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aDynamical Systems and Processes$b[electronic resource] /$fMichel Weber 210 3 $aZuerich, Switzerland $cEuropean Mathematical Society Publishing House$d2009 215 $a1 online resource (773 pages) 225 0 $aIRMA Lectures in Mathematics and Theoretical Physics (IRMA) ;$x2523-5133 ;$v14 330 $aThis 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 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. 606 $aStochastics$2bicssc 606 $aDynamical systems and ergodic theory$2msc 606 $aProbability theory and stochastic processes$2msc 615 07$aStochastics 615 07$aDynamical systems and ergodic theory 615 07$aProbability theory and stochastic processes 686 $a37-xx$a60-xx$2msc 700 $aWeber$b Michel$0190946 801 0$bch0018173 906 $aBOOK 912 $a9910151932903321 996 $aDynamical Systems and Processes$92565666 997 $aUNINA