321 citations · 723 across the 52 of their papers we have counts for
7 papers · 1 filter
Classification of 4-dimensional nilpotent complex Leibniz algebras
S. Albeverio, B. A. Omirov, I. S. Rakhimov
The Leibniz algebras appeared as a generalization of the Lie algebras. In this work we deal with the classification of nilpotent complex Leibniz algebras of low dimensions. Namely,…
Two-Setting Bell Inequalities for Many Qubits
Kai Chen, Sergio Albeverio, Shao-Ming Fei
We present a family of Bell inequalities involving only two measurement settings of each party for N>2 qubits. Our inequalities include all the standard ones with fewer than N qubi…
Coupling in the singular limit of thin quantum waveguides
Sergio Albeverio, Claudio Cacciapuoti, Domenico Finco
We analyze the problem of approximating a smooth quantum waveguide with a quantum graph. We consider a planar curve with compactly supported curvature and a strip of constant width…
Laplace operators and diffusions in tangent bundles over Poisson spaces
S. Albeverio, A. Daletskii, E. Lytvynov
Spaces of differential forms over configuration spaces with Poisson measures are constructed. The corresponding Laplacians (of Bochner and de Rham type) on 1-forms and associated s…
Singular probability distributions and fractal properties of sets of real numbers defined by the asymptotic frequencies of their s-adic digits
S. Albeverio, M. Pratsiovytyi, G. Torbin
Properties of the set of "particularly non-normal numbers" of the unit interval are studied in details ( consists of real numbers , some of whose s-adic digits have t…
Low energy effects for a family of Friedrichs models
Sergio Albeverio, Saidakhmat N. Lakaev, Ramiza Kh. Djumanova
A family of Friedrichs models with rank one perturbations associated to a system of two particles on the lattice is considered. The existence…