6 papers
Random Schrödinger operators on manifolds and abstract bounds for multiplier-type operators
Jean-Claude Cuenin, Konstantin Merz, Eduard Stefanescu
We study random Schrödinger operators on closed Riemannian manifolds with Anderson-type potentials. We prove high-probability spectral inclusion bounds showing that eigenvalues re…
A Marcinkiewicz-Zygmund inequality and the Kadec PeÅczynÅki theorem in Orlicz spaces
Istvan Berkes, Eduard Stefanescu, Robert Tichy
In this paper, we extend the Marcinkiewicz--Zygmund inequality to the setting of Orlicz and Lorentz spaces. Furthermore, we generalize a Kadec--PeÅczyÅski-type result -- original…
Lacunary Series, Nonlinear Functionals and Banach Space Structure
Istvan Berkes, Eduard Stefanescu, Robert Tichy
In a previous paper \cite{BT} we studied the asymptotic behavior of for lacunary sequences of random variables in and used the r…
Eigenvalue bounds for non-self-adjoint Schrödinger operators and pseudodifferential generalizations
Eduard Stefanescu
This is mostly a survey paper, where we collect results concerning the spectral bounds of deterministic and random Schrödinger operators with complex potentials, both on \(\mathbb…
Circle coverings driven by arithmetic sequences: a percolation approach to Diophantine approximation and fractal intersections
Manuel Hauke, Andrei Shubin, Eduard Stefanescu +1
We study problems on covering by shrinking intervals centered at the points , where is a given real-valued sequence and i…
On the maximal volume of empty convex bodies amidst multivariate dilates of a lacunary integer sequence
Eduard Stefanescu
Let \((a_n)_{n \in \mathbb{N}}\) be a lacunary sequence of integers satisfying the Hadamard gap condition. For any fixed dimension , we establish asymptotic upper bounds…