C^r surface diffeomorphisms with no maximal entropy measure

Abstract

For any $1\le r<\infty$, we build on the disk and therefore on any manifold, a $C^r$-diffeomorphism with no measure of maximal entropy.

25 pages

References in corpus (1)

• A continuous, piecewise affine surface map with no measure of maximal entropy

Cited by in corpus (3)

• Continuity properties of Lyapunov exponents for surface diffeomorphisms
• Unstable entropy in smooth ergodic theory
• SRB measures for C $\infty$ surface diffeomorphisms