Erratum: Smooth Non-Bernoulli K-Automorphisms.
Smooth Non-Bernoulli K-Automorphisms.
Birkhoff periodic orbits for small perturbations of completely integrable Hamiltonian Systems with convex Hamiltonians.
Entropy and growth of expanding periodic orbits for one-dimensional maps
Let f be a continuous map of the circle or the interval I into itself, piecewise , piecewise monotone with finitely many intervals of monotonicity and having positive entropy h. For any ε > 0 we prove the existence of at least periodic points of period with large derivative along the period, for some subsequence of natural numbers. For a strictly monotone map f without critical points we show the existence of at least such points.
Some new cases of realization of spectral multiplicity function for ergodic transformations
Differentiability and analycity of topological entropy for Anosov and geodesic flows.
Nonstationary normal forms and rigidity of group actions.
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