Teichmüller Structures and Dual Geometric Gibbs Type Measure Theory for Continuous Potentials

@inproceedings{Jiang2006TeichmullerSA,
  title={Teichmüller Structures and Dual Geometric Gibbs Type Measure Theory for Continuous Potentials},
  author={Yunping Jiang},
  year={2006}
}
The Gibbs measure theory for smooth potentials is an old and beautiful subject and has many important applications in modern dynamical systems. For continuous potentials, it is impossible to have such a theory in general. However, we develop a dual geometric Gibbs type measure theory for certain continuous potentials in this paper following some ideas and techniques from Teichmüller theory for Riemann surfaces. Furthermore, we prove that the space of those continuous potentials has a Teichm… CONTINUE READING

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References

Publications referenced by this paper.
Showing 1-10 of 32 references

Lectures on Quasiconformal Mappings

  • L. V. Ahlfors
  • Mathematical studies 10, D. Van Nostrand Co. Inc…
  • 1966
Highly Influential
8 Excerpts

Renormalization and Geometry in One-Dimensional and Complex Dynamics

  • Y. Jiang
  • World Scientific, Singapore-New Jersey-London…
  • 1996
Highly Influential
4 Excerpts

Generalized Ulam-von Neuman Transformations

  • Y. Jiang
  • Ph.D Thesis,
  • 1990
Highly Influential
4 Excerpts

A measure associated with Axiom A attractors

  • D. Ruelle
  • Amer. J. Math.,
  • 1976
Highly Influential
11 Excerpts

Gibbs measures in ergodic theory

  • Ya. G. Sinai
  • Russian Math. Surveys, Vol
  • 1972
Highly Influential
5 Excerpts

Markov partitions and C-diffeomorphisms

  • Ya. G. Sinai
  • Func. Anal. and its Appl.,
  • 1968
Highly Influential
5 Excerpts

Statical mechanics of a one-dimensional lattice gas

  • D. Ruelle
  • Commun. Math. Phys.,
  • 1968
Highly Influential
11 Excerpts

Riemann’s mapping theorem for variable metrics

  • L. V. Ahlfors, L. Bers
  • Annals of Math. (2),
  • 1960
Highly Influential
6 Excerpts

On a theorem of Mori and the definition of quasiconformality

  • L. Bers
  • Trans. Amer. Math. Soc.,
  • 1957
Highly Influential
6 Excerpts

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