3 papers
math.QA2026
Pull-back and push-forward functors for holonomic modules over Cherednik algebras
Gwyn Bellamy, Pavel Etingof, Daniel Thompson
In this article we continue the study of holonomic modules over sheaves of Cherednik algebras, initiated by the third author in [Tho18]. Under mild assumptions on the parameters, w…
math.DS2026
The specification approach to equilibrium states for parabolic rational maps
Katelynn Huneycutt, Daniel J. Thompson
We develop the specification and orbit-decomposition approach to equilibrium states for parabolic rational maps of the Riemann Sphere. Our result extends the well-known results on…
math.DS2025
Gibbs measures for geodesic flow on CAT(-1) spaces
Caleb Dilsavor, Daniel J. Thompson
For a proper geodesically complete CAT(-1) space equipped with a discrete non-elementary action, and a bounded continuous potential with the Bowen property, we construct weighted q…