LisMath Seminar 

04/10/2017, 17:00 — 18:00 — Room P9, Mathematics Building
João Rijo, Universidade de Lisboa

Topological pressure and dimension

Introduction to the thermodynamic formalism, including the notions of topological entropy and topological pressure. Variational principle with sketch of the proof in the particular case of topological entropy. Description of some applications to the dimension theory of hyperbolic dynamics, after introducing the relevant notions of dimension theory and of repeller, with formulation (without proof) of the result giving the dimension of a conformal repeller via the topological pressure.

Bibliography

[1] L. Barreira, Dimension and Recurrence in Hyperbolic Dynamics, BirkhäŠuser, 2008.

[2] L. Barreira, Thermodynamic Formalism and Applications to Dimension Theory, Birkhäuser, 2011.

[3] L. Barreira, Ergodic Theory, Hyperbolic Dynamics and Dimension Theory, Springer, 2012.

[4] L. Barreira and C. Valls, Dynamical Systems, Springer, 2013.

See also

Rijo.pdf