Renormalization of cocycles and linear ODE with almost-periodic coefficients.
Rescaling of Markov shifts.
Rigidity and inflexibility in conformal dynamics.
Rigidity and renormalization in one dimensional dynamical systems.
Roots of continuous piecewise monotone maps of an interval.
Rotation sets for some non-continuous maps of degree one.
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.