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Introduction
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Classroom Contents
Dynamics of Smooth Surface Diffeomorphisms - Spectral Gap and Stochastic Properties
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- 1 Introduction
- 2 Recap
- 3 Exponential degree of correlations
- 4 The stronghold variance principle
- 5 Central limit theorem
- 6 Law of iterated logarithm
- 7 Symbolic model
- 8 Passing sets
- 9 Optimal pressing constant
- 10 Geometric potential
- 11 Entropy continuity
- 12 Symbolic dynamics
- 13 Spectral properties
- 14 Spectral gap property
- 15 Does spectral gap exist
- 16 How to decide whether a given matrix admits about a space with all those properties
- 17 Countable markov shifts
- 18 Binology of hyperbolas
- 19 Escape to infinity
- 20 entropy at infinity
- 21 symbolic dynamical result
- 22 conclusion
