Symbolic dynamics for surface diffeomorphisms with positive entropy

By O. Sarig. 2012

109 citations recorded by the source corpus.

Part 1. Chains as pseudo–orbits 8 2. Pesin charts 8 2.1. Non-uniform hyperbolicity 8 2.2. Lyapunov change of coordinates 8 2.3. Pesin Charts 10 2.4. Distortion compensating bounds 11 2.5. NUHχ (f) 11 3. Overlapping charts 11 3.1. The overlap condition 12 3.2. The form of f in overlapping charts 14 3.3. Coarse graining 16 4. e–chains and an infinite-to-one Markov extension of f 18 4.1. Double charts and e–chains 18 4.2. Admissible manifolds and the graph transform 20 4.3. A Markov extension 23 4.4. The relevant part of the extension 27

Subfields: Geometry and Topology, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/8c9aebdf1f3cf50e98c11fc1686c3455d5052308

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Jérôme Buzzi
2. O. Sarig
3. S. Crovisier
4. S. Gouëzel
5. Ian Melbourne
6. Yakov Pesin
7. Van Cyr
8. Vilton Pinheiro

In Mathematical Physics

1. Jérôme Buzzi
2. S. Crovisier
3. O. Sarig
4. S. Gouëzel
5. Vilton Pinheiro
6. Ian Melbourne
7. T. Jordan
8. Van Cyr

In Statistical and Nonlinear Physics

1. Jérôme Buzzi
2. S. Crovisier
3. O. Sarig
4. T. Jordan
5. Mike Todd
6. Tuomas Sahlsten
7. Henk Bruin

Citations in the corpus

• Measures of maximal entropy for surface diffeomorphisms (2018, methodology): “Following the approach developed in [84], we will code parts of the dynamics by countable state Markov shifts σ : Σ → Σ (see Section 3.”