Geometry, Topology and Dynamics Seminar: Specification and strong positive recurrence for flows on complete metric spaces, by Daniel Thompson
December 4, 2025
11:00 AM - 11:50 AM
Daniel Thompson (The Ohio State University): Specification and strong positive recurrence for flows on complete metric spaces
We extend Bowens specification approach to thermodynamic formalism to flows on complete separable metric spaces. The key point, particularly for the existence of a finite equilibrium state, is a Strong Positive Recurrence (SPR) assumption. As one application, we establish that for a sufficiently regular potential with SPR for the geodesic flow on a geometrically finite locally CAT(-1) space, there exists a unique equilibrium state. Examples of CAT(-1) spaces range from manifolds with negative curvature bounded above by -1, and at the other extreme, graphs and trees equipped with a notion of length. This is joint work with Vaughn Climenhaga and Tianyu Wang.
Please click here to make changes to, or delete, this seminar announcement.
Date posted
Dec 5, 2025
Date updated
Dec 5, 2025
Speakers
