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Showing 2016 · math-phShow all
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math-ph2016★ 14 cited
Central Limit Theorem and Large Deviation Principle for Continuous Time Open Quantum Walks
Hugo Bringuier
Open Quantum Walks (OQWs), originally introduced by S. Attal, are quantum generalizations of classical Markov chains. Recently, natural continuous time models of OQW have been deve…
math-ph2016★ 36 cited
Squared eigenvalue condition numbers and eigenvector correlations from the single ring theorem
Serban Belinschi, Maciej A. Nowak, Roland Speicher +1
We extend the so-called "single ring theorem"[1], also known as the Haagerup-Larsen theorem[2], by showing that in the limit when the size of the matrix goes to infinity a particul…
math-ph2016★ 13 cited
The generalized master fields
Guillaume Cébron, Antoine Dahlqvist, Franck Gabriel
The master field is the large limit of the Yang-Mills measure on the Euclidean plane. It can be viewed as a non-commutative process indexed by paths on the plane. We construct…