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1. Absence of eigenvalues for quasiperiodic Schrödinger type operators

   We obtain the matrix-valued Schrödinger-type operators [ H _α,θ ] with Lipschitz potentials having no eigenvalues on the set { E : L ( E ) < δ _{C, d} ( α, θ )},...

   Jiahao Xu, **n Zhao in Frontiers of Mathematics in China

   Article 15 June 2019

2. Furstenberg Transformations on Cartesian Products of Infinite-Dimensional Tori

   We consider in this note Furstenberg transformations on Cartesian products of infinite-dimensional tori. Under some appropriate assumptions, we show...

   P. A. Cecchi, Rafael Tiedra de Aldecoa in Potential Analysis

   Article 26 July 2015

3. Winding numbers and eigenfunctions of the Laplacian

   Suppose that the Laplace operator of a complete Riemannian manifold admits two linearly independent real-valued eigenfunctions, which do not vanish...

   Harold Donnelly in Annals of Global Analysis and Geometry

   Article 09 September 2012

4. Mass equidistribution of Hilbert modular eigenforms

   Paul D. Nelson in The Ramanujan Journal

   Article 11 November 2011

5. Large Values of Eigenfunctions on Arithmetic Hyperbolic 3-Manifolds

   We prove that, on a distinguished class of arithmetic hyperbolic 3-manifolds, there is a sequence of L ² -normalized high-energy Hecke–Maass...

   Djordje Milićević in Geometric and Functional Analysis

   Article 27 October 2011