142 citations · 269 across the 11 of their papers we have counts for
10 papers · 1 filter
Qusicryslals in Vernam cipher
Maryna Nesterenko, Severin Posta
We propose a modification of the classical Vernam cipher based on properties of one-dimensional quasicrystals. The method uses the sequence of quasicrystal minimal distances as an…
Realizations of Galilei algebras
Maryna Nesterenko, Severin Posta, Olena Vaneeva
All inequivalent realizations of the Galilei algebras of dimensions not greater than five are constructed using the algebraic approach proposed by I. Shirokov. The varieties of the…
S-expansions of three-dimensional Lie algebras
Maryna Nesterenko
S-expansions of three-dimensional real Lie algebras are considered. It is shown that the expansion operation allows one to obtain a non-unimodular Lie algebra from a unimodular one…
Orthogonal polynomials of compact simple Lie groups
Maryna Nesterenko, Jiri Patera, Agnieszka Tereszkiewicz
Recursive algebraic construction of two infinite families of polynomials in variables is proposed as a uniform method applicable to every semisimple Lie group of rank . Its…
Computing with almost periodic functions
R. V. Moody, M. Nesterenko, J. Patera
The paper develops a method for discrete computational Fourier analysis of functions defined on quasicrystals and other almost periodic sets. A key point is to build the analysis a…
Three dimensional C-, S- and E-transforms
M. Nesterenko, J. Patera
Three dimensional continuous and discrete Fourier-like transforms, based on the three simple and four semisimple compact Lie groups of rank 3, are presented. For each simple Lie gr…