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math.PR2019★ 1 cited
On the spectrum of random walks on complete finite -ary trees
Evita Nestoridi, Oanh Nguyen
In the present paper, we determine the full spectrum of the simple random walk on finite, complete -ary trees. We also find an eigenbasis for the transition matrix. As an applic…
math.PR2017
Optimal strong stationary times for random walks on the chambers of a hyperplane arrangement
Evita Nestoridi
This paper studies Markov chains on the chambers of real hyperplane arrangements, a model that generalizes famous examples, such as the Tsetlin library and riffle shuffles. We disc…