Every ergodic measure is uniquely maximizing

By Oliver Jenkinson. 2006

72 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/8f3f881ccc7813b328021ee925bb78858540ba1f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Jairo Bochi
2. Marcelo Viana
3. Artur Avila
4. C. Bonatti
5. Yakov Pesin
6. Dmitry Dolgopyat
7. Carlos Bocker-Neto

In Mathematical Physics

1. Jairo Bochi
2. Artur Avila
3. Marcelo Viana
4. C. Bonatti
5. Yakov Pesin
6. S. Crovisier
7. Carlos Bocker-Neto
8. Dmitry Dolgopyat

Citations in the corpus

• ERGODIC OPTIMIZATION OF BIRKHOFF AVERAGES AND LYAPUNOV EXPONENTS (2017, background): “Furthermore, since MT is a simplex (by uniqueness of ergodic decompositions), every ergodic μ is the unique maximizing measure for at least one function f P CpXq (see [41] for the precise arguments).”