The theory of non-uniformly hyperbolic diffeomorphisms.
Pesin Theory
See also
DiffeomorphismExplore with Wolfram|Alpha
References
Katok, A. "Lyapunov Exponents, Entropy, and Periodic Orbits for Diffeomorphisms." Pub. Math. (IHS) 51, 137-173, 1980.Katok, A. and Strelcyn, J.-M. Invariant Manifolds, Entropy and Billiards, Smooth Maps with Singularities. Berlin: Springer-Verlag, 1988.Newhouse, S. "Continuity Properties of Entropy." Ann. Math. 129, 215-237, 1989.Newhouse, S. "Entropy and Volume." Ergodic Th. Dynam. Sys. 8, 283-299, 1989.Pollicott, M. Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds. Cambridge, England: Cambridge University Press, 1993.Referenced on Wolfram|Alpha
Pesin TheoryCite this as:
Weisstein, Eric W. "Pesin Theory." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PesinTheory.html