Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics CIRM Jean-Morlet Chair, Fall 2016 /
This book concentrates on the modern theory of dynamical systems and its interactions with number theory and combinatorics. The greater part begins with a course in analytic number theory and focuses on its links with ergodic theory, presenting an exhaustive account of recent research on Sarnak'...
| Συγγραφή απο Οργανισμό/Αρχή: | |
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| Άλλοι συγγραφείς: | , , |
| Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
| Γλώσσα: | English |
| Έκδοση: |
Cham :
Springer International Publishing : Imprint: Springer,
2018.
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| Έκδοση: | 1st ed. 2018. |
| Σειρά: | Lecture Notes in Mathematics,
2213 |
| Θέματα: | |
| Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- Part I. Bases of Analytic Number Theory
- 1. Prime Numbers
- 2. Arithmetic Functions
- 3. Dirichlet Series
- 4. Euler's Gamma Function
- 5. Riemann's Zeta Function
- 6. The Large Sieve
- 7. The Theorem of Vinogradov
- 8. The van der Corput Method.- Part II. Interactions Between Arithmetics and Dynamics
- 9. A Brief Guide to Reversing and Extended Symmetries of Dynamical Systems
- 10. Kloosterman Sums, Disjointness, and Equidistribution
- 11. Sarnak's Conjecture - what's new
- 12. Sarnak's Conjecture Implies the Chowla Conjecture Along a Subsequence
- 13. On the Logarithmic Probability that a Random Integral Ideal is A-free
- 14. The Lagrange and Markov Spectra from the Dynamical Point of View
- 15. On the missing Log Factor
- 16. Chowla's Conjecture: From the Liouville Function to the Moebius Function.- Part III. Selected Topics in Dynamics
- 17. Weak Mixing for Infinite Measure Invertible Transformations
- 18. More on Tame Dynamical Systems
- 19. A Piecewise Rotation of the Circle, IPR Maps and Their Connection with Translation Surfaces.
