10 citations · 49 across the 14 of their papers we have counts for
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math.AP2021★ 4 cited
Counterexamples for the fractal Schrödinger convergence problem with an intermediate space trick
Daniel Eceizabarrena, Felipe Ponce-Vanegas
We construct counterexamples for the fractal Schrödinger convergence problem by combining a fractal extension of Bourgain's counterexample and the intermediate space trick of Du--K…
math.AP2021★ 6 cited
Pointwise convergence over fractals for dispersive equations with homogeneous symbol
Daniel Eceizabarrena, Felipe Ponce-Vanegas
We study the fractal pointwise convergence for the equation , where the symbol is real, homogeneous and non-singular. We prove that for initial d…
math.AP2021★ 3 cited
The Talbot effect as the fundamental solution to the free Schrödinger equation
Daniel Eceizabarrena
The Talbot effect is usually modeled using the Helmholtz equation, but its main experimental features are captured by the solution to the free Schrödinger equation with the Dirac c…