4 papers
Large Deviations Principle for Bures-Wasserstein Barycenters
Adam Quinn Jaffe, Leonardo V. Santoro
We prove the large deviations principle for empirical Bures-Wasserstein barycenters of independent, identically-distributed samples of covariance matrices and covariance operators.…
A Zero-One Law for Virtual Markov Chains
Adam Quinn Jaffe
A virtual Markov chain (VMC) is a sequence of Markov chains (MCs) coupled together on the same probability space such that has state space $\{0,1,\ld…
Virtual Markov chains
Steven N. Evans, Adam Q. Jaffe
We introduce the space of virtual Markov chains (VMCs) as a projective limit of the spaces of all finite state space Markov chains (MCs), in the same way that the space of virtual…
Vietoris-Rips Complexes of Regular Polygons
Henry Adams, Samir Chowdhury, Adam Quinn Jaffe +1
Persistent homology has emerged as a novel tool for data analysis in the past two decades. However, there are still very few shapes or even manifolds whose persistent homology barc…