Geometric and ergodic aspects in conformal dynamics on invariant fractals

@inproceedings{Mihailescu2014GeometricAE,
  title={Geometric and ergodic aspects in conformal dynamics on invariant fractals},
  author={Eugen Mihailescu},
  year={2014}
}
We survey recently discovered aspects in the geometric theory of higher dimensional dynamical systems on basic fractal sets. For most of these systems, hyperbolicity and the various invariant measures play a central role. We present several results which underline the rich connections between geometric theory of currents, ergodic theory, and thermodynamical formalism. Also we explain the interplay between the geometry of folded fractal sets and the ergodic properties of equilibrium measures… CONTINUE READING

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