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Capítulo de Libro
Refined size estimates for Furstenberg sets via Hausdorff measures: a survey of some recent results
(Springer, 2014)
In this survey we collect and discuss some recent results on the so called “Furstenberg set problem”, which in its classical form concerns the estimates of the Hausdorff dimension (dimH) of the sets in the Fα-class: for ...
Artículo
Perron-Frobenius operators and the Klein-Gordon equation
(European Mathematical Society, 2014)
For a smooth curve Γ and a set Λ in the plane R2, let AC(Γ; Λ) be the space of finite Borel measures in the plane supported on Γ, absolutely continuous with respect to the arc length and whose Fourier transform vanishes ...
Artículo
Heisenberg uniqueness pairs and the Klein-Gordon equation
(Princeton University, 2011)
A Heisenberg uniqueness pair (HUP) is a pair (Γ, Λ), where Γ is a curve in the plane and Λ is a set in the plane, with the following property: any bounded Borel measure µ in the plane supported on Γ, which is absolutely ...
Ponencia
Fourier uniqueness sets and the Klein-Gordon equation
(2012)
Building on ideas from H. Hedenmalm, H., Montes-Rodríguez, A., Heisenberg uniquenes pairs and the Klein-Gordon equation. Ann. of Math. 173 (2011), 1507-1527, we introduce (local) Fourier uniqueness sets for spaces of ...