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math-ph2011★ 95 cited
The Nonlinear Schroedinger Equation with a random potential: Results and Puzzles
Shmuel Fishman, Yevgeny Krivolapov, Avy Soffer
The Nonlinear Schroedinger Equation (NLSE) with a random potential is motivated by experiments in optics and in atom optics and is a paradigm for the competition between the random…
math-ph2008★ 2 cited
On the distribution of linear combinations of eigenvalues of the Anderson model
Shmuel Fishman, Yevgeny Krivolapov, Avy Soffer
Probabilistic estimates on linear combinations of eigenvalues of the one dimensional Anderson model are derived. So far only estimates on the density of eigenvalues and of pairs we…