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Title of Journal: Invent math

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Abbravation: Inventiones mathematicae

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Springer-Verlag

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10.1002/ceat.200700413

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1432-1297

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mathcalC2 surface diffeomorphisms have sym

Authors: David Burguet
Publish Date: 2011/03/01
Volume: 186, Issue: 1, Pages: 191-236
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Abstract

We prove that mathcalC2 surface diffeomorphisms have symbolic extensions ie topological extensions which are subshifts over a finite alphabet Following the strategy of Downarowicz and Maass Invent Math 176617–636 2009 we bound the local entropy of ergodic measures in terms of Lyapunov exponents This is done by reparametrizing Bowen balls by contracting maps in a approach combining hyperbolic theory and Yomdin’s theory

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Other Papers In This Journal:
  1. Serre’s modularity conjecture (I)
  2. Serre’s modularity conjecture (I)
  3. Erratum to: Burniat surfaces II: secondary Burniat surfaces form three connected components of the moduli space
  4. Image of Λ -adic Galois representations modulo p
  5. Representation theory of $\mathcal{W}$-algebras
  6. The Kodaira dimension of the moduli of K3 surfaces
  7. Brownian Gibbs property for Airy line ensembles
  8. Degree formula for connective K -theory
  9. Some quantitative results in $${\mathcal {C}}^0$$ symplectic geometry
  10. Convexes divisibles IV : Structure du bord en dimension 3
  11. The classification of irreducible admissible mod p representations of a p -adic GL n
  12. Some prime factorization results for type II 1 factors
  13. On the weights of mod p Hilbert modular forms
  14. Operator-algebraic superridigity for SL n (ℤ), n ≥3
  15. Exceptional zero formulae and a conjecture of Perrin-Riou
  16. F-singularities of pairs and Inversion of Adjunction of arbitrary codimension
  17. Knot homology via derived categories of coherent sheaves II, $\mathfrak{sl}_{m}$ case
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