Entropy of Physical Measures for $$C^\infty $$C∞ Dynamical Systems - Archive ouverte HAL
Article Dans Une Revue Communications in Mathematical Physics Année : 2019

Entropy of Physical Measures for $$C^\infty $$C∞ Dynamical Systems

Résumé

For a $C^\infty$ map on a compact manifold we prove that for a Lebesgue randomly picked point x there is an empirical measure from $x$ with entropy larger than or equal to the sum of positive Lyapunov exponents at $x$.

Dates et versions

hal-02346558 , version 1 (05-11-2019)

Identifiants

Citer

David Burguet. Entropy of Physical Measures for $$C^\infty $$C∞ Dynamical Systems. Communications in Mathematical Physics, In press, ⟨10.1007/s00220-019-03516-2⟩. ⟨hal-02346558⟩
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