3 papers
math.OA2026
The Bures metric and the quantum metric on the density space of a C*-algebra: the non-unital case
Konrad Aguilar, Karina Behera, Katrine von Bornemann Hjelmborg +4
Building off work of Farenick and Rahaman, we extend the definition of the density space and the Bures metric to the setting of non-unital C*-algebras equipped with a faithful trac…
math.PR2024
Buffon's Problem determines Gaussian Curvature in three Geometries
Aizelle Abelgas, Bryan Carrillo, John Palacios +2
A version of the classical Buffon problem in the plane naturally extends to the setting of any Riemannian surface with constant Gaussian curvature. The Buffon probability determine…
math.PR2024
Brownian Motion in a Vector Space over a Local Field is a Scaling Limit
Tyler Pierce, Rahul Rajkumar, Andrea Stine +2
For any natural number , the Vladimirov-Taibleson operator is a natural analogue of the Laplace operator for complex-valued functions on a -dimensional vector space over…