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Applied Math Colloquium: Dr. Sunder Sethuraman

University of Arizona



Date & Time

September 16, 2022, 2:00 pm3:00 pm


Title:  `Stick-breaking' measures: from time-inhomogeneous Markov chains to mRNA dynamics.

Abstract:  In this talk, we begin with a notion of `Markovian stick-breaking' measures, a generalization of Dirichlet process priors used in Bayesian statistics.  Then, we discuss curious connections between these measures and seemingly disparate objects such as empirical or `occupation' laws of certain time-inhomogeneous Markov chains, related to the Metropolis algorithm, and also the stationary distributions of multi-state promoter models of mRNA dynamics.  Some synthetic data examples will also be presented.  This work is with Zach Dietz, William Lippitt, and Xueying Tang.