56 citations · 66 across the 13 of their papers we have counts for
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nlin.AO2008★ 56 cited
Synchronization of oscillators coupled through an environment
Guy Katriel
We study synchronization of oscillators that are indirectly coupled through their interaction with an environment. We give criteria for the stability or instability of a synchroniz…
math.SP2008★ 1 cited
On the distribution of eigenvalues of non-selfadjoint operators
Michael Demuth, Marcel Hansmann, Guy Katriel
We prove quantitative bounds on the eigenvalues of non-selfadjoint bounded and unbounded operators. We use the perturbation determinant to reduce the problem to one of studying the…
math.SP2008
On finiteness of the sum of negative eigenvalues of Schroedinger operators
Michael Demuth, Guy Katriel
We prove conditions on potentials which imply that the sum of the negative eigenvalues of the Schroeodinger operator is finite. We use a method for bounding eigenvalues based on es…