Random dynamics and its applications.
Rate of convergence of conditional entropies for some maps of an interval
Regularity of measure theoretic entropy for geodesic flows of negative curvature: I.
Regularity of topological and metric entropy of hyperbolic flows.
Relating Hausdorff measures and harmonic measures on parabolic Jordan curves.
Rigid reparametrizations and cohomology for horocycle flows.
Rigidity and inflexibility in conformal dynamics.
Rotation sets and ergodic measures for torus homeomorphisms
Rotation sets for subshifts of finite type
For a dynamical system (X,f) and a function the rotation set is defined. The case when (X,f) is a transitive subshift of finite type and φ depends on the cylinders of length 2 is studied. Then the rotation set is a convex polyhedron. The rotation vectors of periodic points are dense in the rotation set. Every interior point of the rotation set is a rotation vector of an ergodic measure.