Correlation number for potentials with entropy gaps and cusped Hitchin representations
Abstract
Abstract We introduce a correlation number for two strictly positive locally Hölder continuous independent potentials with strong entropy gaps at infinity on a topologically mixing countable state Markov shift with big images and pre-images (BIP) property. We define in this way a correlation number for pairs of cusped Hitchin representations. Furthermore, we explore the connection between the correlation number and the Manhattan curve, along with several rigidity properties of this correlation number.
Fields of Study & Subjects
Quantum chaos and dynamical systems
Nuclear physics research studies
Publication details
- Journal / source
- Ergodic Theory and Dynamical Systems
- Volume
- 46
- Issue
- 7
- Pages
- 1755–1799
- Publication date
- 26 February 2026
- Language
- EN