Recording date: 02/09/2011

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### Quantum walks and CMV matrices

The study of certain classical Markov chains by spectral methods is a classical area going back at least

to work by S.Karlin and J. McGregor. Recently this approach has been undertaken in the case of certain

Quantum Walks. Of particular interest is the relation between the orthogonality measure and the limit law

for the distribution of the displacement of the quantum walker, as well as issues such as recurrence and

localization. We will discuss some general results as well as some specic examples

Alberto Grunbaum

Alberto Grunbaum

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