Nadia Lafrenière
Published 2018-11-17, updated 2019-02-27Version 2
This paper describes a combinatorial way of obtaining all the eigenvalues of the symmetrized shuffling operators introduced by Victor Reiner, Franco Saliola and Volkmar Welker. It allows us to prove their conjecture that these eigenvalues are integers. This work generalizes the case of the random-to-random Markov chain.
Comments: 12 pages. Extended abstract accepted for FPSAC 2019. It will appear in S\'eminaire Lotharingien de combinatoire
Valeurs propres des opérateurs de mélanges symétrisés
Spectral analysis of random-to-random Markov chains
The Eigenvalues of the Graphs $D(4,q)$
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