Dynamical Systems and Processes
Michel Weber
IRMA, Strasbourg, France
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FrontmatterDownload pp. i–iv | |
PrefaceDownload pp. v–vii | |
ContentsDownload pp. ix–xii | |
I | Part I Spectral theorems and convergence in meanp. 1 |
1 | The von Neumann theorem and spectral regularizationpp. 3–60 |
2 | Spectral representation of weakly stationary processespp. 61–89 |
II | Part II Ergodic Theoremsp. 91 |
3 | Dynamical systems – ergodicity and mixingpp. 93–128 |
4 | Pointwise ergodic theoremspp. 129–199 |
5 | Banach principle and continuity principlepp. 200–229 |
6 | Maximal operators and Gaussian processespp. 230–266 |
7 | The central limit theorem for dynamical systemspp. 267–337 |
III | Part III Methods arising from the theory of stochastic processesp. 339 |
8 | The metric entropy methodpp. 341–432 |
9 | The majorizing measure methodpp. 433–490 |
10 | Gaussian processespp. 491–546 |
IV | Part IV Three studiesp. 547 |
11 | Riemann sumspp. 549–600 |
12 | A study of the system pp. 601–658 |
13 | Divisors and random walkspp. 659–728 |
Bibliographypp. 729–757 | |
Indexpp. 759–761 |