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Regular version of the site

Book chapter

Around Anosov-Weil Theory

P. 123-154.

The survey is devoted to the exposition of main results of Anosov-Weil Theory that studies nonlocal asymptotic properties of simple curves on a surface with a non-positive constant curvature. This study consists of the lifting these curves to an universal covering and making a “comparison” in a sense with lines of constant geodesic curvature. We review some applications conserning constructions of topological invariants for surface dynamical systems and foliations.

In book

Edited by: A. Katok, Y. Pesin, F. R. Hertz. Vol. 692: Modern Theory of Dynamical Systems: A Tribute to Dmitry Victorovich Anosov. Providence; Rhode Island: American Mathematical Society, 2017.