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math-ph2011
Almost all eigenfunctions of a rational polygon are uniformly distributed
Jens Marklof, Zeev Rudnick
We consider an orthonormal basis of eigenfunctions of the Dirichlet Laplacian for a rational polygon. The modulus squared of the eigenfunctions defines a sequence of probability me…
math.CO2011★ 2 cited
Diameters of random circulant graphs
Jens Marklof, Andreas Strömbergsson
The diameter of a graph measures the maximal distance between any pair of vertices. The diameters of many small-world networks, as well as a variety of other random graph models, g…