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math-ph2009★ 14 cited
Gaussian Waves on the Regular Tree
Yehonatan Elon
We consider the family of real (generalized) eigenfunctions of the adjacency operator on - the -regular tree. We show the existence of a unique invariant Gaussian process…
math-ph2008★ 48 cited
Eigenvectors of the discrete Laplacian on regular graphs - a statistical approach
Yehonatan Elon
In an attempt to characterize the structure of eigenvectors of random regular graphs, we investigate the correlations between the components of the eigenvectors associated to diffe…