Rate of convergence of conditional entropies for some maps of an interval
Reducing the number of periodic points in the smooth homotopy class of a self-map of a simply-connected manifold with periodic sequence of Lefschetz numbers
Let f be a smooth self-map of an m-dimensional (m ≥ 4) closed connected and simply-connected manifold such that the sequence of the Lefschetz numbers of its iterations is periodic. For a fixed natural r we wish to minimize, in the smooth homotopy class, the number of periodic points with periods less than or equal to r. The resulting number is given by a topological invariant J[f] which is defined in combinatorial terms and is constant for all sufficiently large r. We compute J[f] for self-maps...
Refinement of the Shannon-McMillan-Breiman theorem for some maps of an interval
Reversible complex Hénon maps.
Rotation sets and monotone periodic orbits for annulus homeomorphisms.
R-torsion and zeta functions for locally symmetric manifolds.