Ground states are generically a periodic orbit

By G. Contreras. 2013

82 citations recorded by the source corpus.

We prove that for an expanding transformation the maximizing measures of a generic Lipschitz function are supported on a single periodic orbit.

Subfields: Computer Networks and Communications, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/a1013e74711cce0c1a432a0de38b38bd24449e1f

How researchers see this paper

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

In Computer Networks and Communications

1. Jairo Bochi
2. Artur Avila

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

In Statistical and Nonlinear 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): “Contreras’ theorem provides some confirmation of the experimental findings of Hunt and Ott published two decades before [35].”