2 papers
math.DS2025
Correlation Number for Potentials with Entropy Gaps and Cusped Hitchin Representations
Lien-Yung Kao, Giuseppe Martone
We introduce a correlation number for two strictly positive, locally Hölder continuous, independent potentials with strong entropy gaps at infinity on a topologically mixing count…
math.DS2025
Pressure gaps, geometric potentials, and nonpositively curved manifolds
Dong Chen, Lien-Yung Kao, Kiho Park
In this paper, we derive a general pressure gap criterion for closed rank 1 manifolds whose singular sets are given by codimension 1 totally geodesic flat subtori. As an applicatio…