6 citations · 8 across the 4 of their papers we have counts for
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Discrete Multichannel Scattering with step-like potential
Isaac Alvarez-Romero, Yurii Lyubarskii
We study direct and inverse scattering problem for systems of interacting particles, having web-like structure. Such systems consist of a finite number of semi-infinite chains atta…
Uncertainty principle for discrete Schrödinger evolution on graphs
Isaac Alvarez-Romero
We consider the Schrödinger evolution on graph, i.e. solution to the equation , here is the set of vertices of t…
On uniqueness properties of solutions of the Toda and Kac-van Moerbeke hierarchies
Isaac Alvarez-Romero, Gerald Teschl
We prove that a solution of the Toda lattice cannot decay too fast at two different times unless it is trivial. In fact, we establish this result for the entire Toda and Kac-van Mo…
A Dynamic Uncertainty Principle for Jacobi Operators
Isaac Alvarez-Romero, Gerald Teschl
We prove that a solution of the Schrödinger-type equation , where is a Jacobi operator with asymptotically constant coefficients, cannot decay too f…