Title: Dynamics: A Probabilistic and Geometric Perspective

An overview of recent developments and open questions aiming at a global theory of general (non-conservative) dynamical systems.

1991 Mathematics Subject Classification: 58, 34, 60

Keywords and Phrases: uniformly hyperbolic system, attractor, sensitive dynamics, non-uniform hyperbolicity, physical measure, structural stability, stochastic stability, homoclinic orbit, heteroclinic cycle, partial hyperbolicity, dominated splitting, robust transitiveness, singular hyperbolicity, singular attractor.

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