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Title: The spectrum of the random-to-below Markov chain

Speaker: Nadia Lafrenière Affiliation: Dartmouth College Zoom: Contact Stephen Melczer

Abstract:

The random-to-below shuffle of a deck of cards consists of removing any card randomly (with uniform probability), and inserting it anywhere below (with uniform probability). When looking at the eigenvalues of its transition matrix, they all seem to be rational and positive.