48 citations · 75 across the 4 of their papers we have counts for
4 papers
Level sets percolation on chaotic graphs
Yehonatan Elon, Uzy Smilansky
One of the most surprising discoveries in quantum chaos was that nodal domains of eigenfunctions of quantum-chaotic billiards and maps in the semi-classical limit display critical…
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…
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…
Geometric characterization of nodal domains: the area-to-perimeter ratio
Yehonatan Elon, Sven Gnutzmann, Christian Joas +1
In an attempt to characterize the distribution of forms and shapes of nodal domains in wave functions, we define a geometric parameter - the ratio between the area of a domain…