2 citations · 2 across the 9 of their papers we have counts for
9 papers
Resolvent bounds and eigenvalue estimates of generalized Schrödinger operators with complex potentials on compact manifolds
Eduard Stefanescu
We extend Cuenin's compact-manifold spectral bounds for Schrödinger operators with complex potentials to a general pseudodifferential setting. More precisely, we study operators \(…
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 rem…
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…
A Marcinkiewicz-Zygmund inequality and the Kadec Pełczynśki 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--Pełczyński-type result -- originally…
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…
The atmospheric Ekman spiral for piecewise-uniform eddy viscosity
Eduard Stefanescu
We investigate the boundary-value problem of atmospheric Ekman flows with piecewise-uniform eddy viscosity. In addition we present a method for finding more general solutions by co…
The dispersion of dilated lacunary sequences, with applications in multiplicative Diophantine approximation
Eduard Stefanescu
Let be a Hadamard lacunary sequence. We give upper bounds for the maximal gap of the set of dilates modulo 1, in terms of . For…