Printed in the United Kingdom On the Aubry – Mather theory for symbolic dynamics

  title={Printed in the United Kingdom On the Aubry – Mather theory for symbolic dynamics},
  author={Eduardo Garibaldi and Artur O. Lopes},
We propose a new model of ergodic optimization for expanding dynamical systems: the holonomic setting. In fact, we introduce an extension of the standard model used in this theory. The formulation we consider here is quite natural if one wants a meaning for possible variations of a real trajectory under the forward shift. In other contexts (for twist maps, for instance), this property appears in a crucial way. A version of the Aubry–Mather theory for symbolic dynamics is introduced. We are… CONTINUE READING

From This Paper

Topics from this paper.


Publications referenced by this paper.
Showing 1-10 of 25 references

Propriedades genéricas de lagrangianos e problemas variacionais holonômicos em sistemas de funções iteradas

  • E. R. Oliveira
  • PhD Thesis (Preliminary Version),
  • 2007
1 Excerpt

Zeta functions and the periodic orbit structure of hyperbolic dynamics

  • M. Pollicott Parry
  • Propriedades genéricas de lagrangianos e…
  • 2007

A large deviation principle for equilibrium states of Holder potentials: the zero temperature case

  • A. Baraviera, A. O. Lopes, P. Thieullen
  • Stoch. Dyn
  • 2006
1 Excerpt

Functions for relative maximization

  • E. Garibaldi, A. O. Lopes
  • 2006
2 Excerpts

Mather measures and the Bowen–Series transformation

  • A. O. Lopes, P. Thieullen
  • Ann. Inst. H. Poincaré Anal. Non Linéaire
  • 2006
1 Excerpt

Otimização ergódica: da maximização relativa aos homeomorfismos expansivos

  • E. Garibaldi
  • PhD Thesis, Universidade Federal do Rio Grande do…
  • 2006
2 Excerpts

Duality in thermodynamic formalism

  • L. Radu
  • 2004
2 Excerpts

Similar Papers

Loading similar papers…