31 citations · 144 across the 26 of their papers we have counts for
4 papers · 1 filter
A Class of Markov Chains with no Spectral Gap
Yevgeniy Kovchegov, Nicholas Michalowski
In this paper we extend the results of the research started by the first author, in which Karlin-McGregor diagonalization of certain reversible Markov chains over countably infinit…
Framework for discrete-time quantum walks and a symmetric walk on a binary tree
Zlatko Dimcovic, Daniel Rockwell, Ian Milligan +3
We formulate a framework for discrete-time quantum walks, motivated by classical random walks with memory. We present a specific representation of the classical walk with memory 2…
Mixing Times for the Mean-Field Blume-Capel Model via Aggregate Path Coupling
Yevgeniy Kovchegov, Peter T. Otto, Mathew Titus
In this paper we investigate the relationship between the mixing times of the Glauber dynamics of a statistical mechanical system with its thermodynamic equilibrium structure. For…
Tokunaga and Horton self-similarity for level set trees of Markov chains
Ilya Zaliapin, Yevgeniy Kovchegov
The Horton and Tokunaga branching laws provide a convenient framework for studying self-similarity in random trees. The Horton self-similarity is a weaker property that addresses t…