55 citations
10 papers
Orthogonal polynomials of discrete variable and boundedness of Dirichlet kernel
Josef Obermaier, Ryszard Szwarc
For orthogonal polynomials defined by compact Jacobi matrix with exponential decay of the coefficients, precise properties of orthogonality measure is determined. This allows showi…
Kaczmarz algorithm in Hilbert space and tight frames
Ryszard Szwarc
We prove that any tight frame in Hilbert space can be obtained by the Kaczmarz algorithm. An explicit way of constructing this correspondence is given. The uniqueness of the corres…
Comparison study of DFA and DMA methods in analysis of autocorrelations in time series
D. Grech, Z. Mazur
Statistics of the Hurst scaling exponents calculated with the use of two methods: recently introduced Detrended Moving Average Analysis(DMA) and Detrended Fluctuation Analysis (DFA…
High-energy limit of neutrino quasielastic cross section
Artur M. Ankowski
It's a common knowledge that the quasielastic neutrino-neutron and antineutrino-proton cross sections tend to the same constant as (anti)neutrino energy becomes high. In this paper…
Thermodynamic limit and semi--intensive quantities
J. Cleymans, K. Redlich, L. Turko
The properties of statistical ensembles with abelian charges close to the thermodynamic limit are discussed. The finite volume corrections to the probability distributions and part…
Gaussian fluctuations of characters of symmetric groups and of Young diagrams
Piotr Sniady
We study asymptotics of reducible representations of the symmetric groups S_q for large q. We decompose such a representation as a sum of irreducible components (or, alternatively,…