I. Alvarez-Romero

activity

20162022

most citedA Dynamic Uncertainty Principle for Jacobi Operators

6 citations · 8 across the 4 of their papers we have counts for

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math.AP2022

Pointwise convergence of the heat and subordinates of the heat semigroups associated with the Laplace operator on homogeneous trees and two weighted $L^{p}$ maximal inequalities

I. Alvarez-Romero, B. Barrios, J. J. Betancor

In this paper we consider the heat semigroup ${W_{t}}_{t > 0}$ defined by the combinatorial Laplacian and two subordinated families of ${W_{t}}_{t > 0}$ on homogeneous trees $X$ . We ch…

math.AP2016

Uncertainty principle for discrete Schrödinger evolution on graphs

Isaac Alvarez-Romero

We consider the Schrödinger evolution on graph, i.e. solution to the equation $\partial_{t} u (t, α) = i \sum_{β \in A} L (α, β) u (t, β)$ , here $A$ is the set of vertices of t…

math.AP2016★ 2 cited

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…

Pointwise convergence of the heat and subordinates of the heat semigroups associated with the Laplace operator on homogeneous trees and two weighted Lp maximal inequalities

Uncertainty principle for discrete Schrödinger evolution on graphs

On uniqueness properties of solutions of the Toda and Kac-van Moerbeke hierarchies

Pointwise convergence of the heat and subordinates of the heat semigroups associated with the Laplace operator on homogeneous trees and two weighted $L^{p}$ maximal inequalities