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math.NT2006
Distribution modulo one and Ratner's theorem
Jens Marklof
Measure rigidity is a branch of ergodic theory that has recently contributed to the solution of some fundamental problems in number theory and mathematical physics. Examples are pr…
nlin.CD2006★ 36 cited
Nodal Domain Statistics for Quantum Maps, Percolation and SLE
J. P. Keating, J. Marklof, I. G. Williams
We develop a percolation model for nodal domains in the eigenvectors of quantum chaotic torus maps. Our model follows directly from the assumption that the quantum maps are describ…