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Eigenvalues in Number Theory: Ramanujan Graphs – Luke Collins

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In this video, Luke Collins explains the idea of a Ramanujan graph, which is a structure of particular interest to number theorists, and an example of an application of eigenvalues in number theory.
This talk is from the MMS Eigenvalue Day, where a number of talks relating to eigenvalues were given.
This talk is from the MMS Eigenvalue Day, where a number of talks relating to eigenvalues were given.
Eigenvalues in Number Theory: Ramanujan Graphs – Luke Collins
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Explicit constructions of unbalanced Ramanujan bigraphs by Kaneenika Sinha
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Yuval Peres: An introduction to Ramanujan graphs and random walks on them, January 25, 2016
Eigenvalues of random n on-Hermitian matrices and randomly... by David Renfrew
A Generalized Alon-Boppana Bound and Weak Ramanujan Graphs
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