Results 41 to 50 of about 17,183,410 (158)

Fractal Time Series—A Tutorial Review

Mathematical Problems in Engineering, Volume 2010, Issue 1, 2010., 2010
Fractal time series substantially differs from conventional one in its statistic properties. For instance, it may have a heavy‐tailed probability distribution function (PDF), a slowly decayed autocorrelation function (ACF), and a power spectrum function (PSD) of 1/f type.
Ming Li, Massimo Scalia
wiley   +1 more source

ON LEBESGUE CONSTANTS OF VILENKIN SYSTEMS

Proceedings of the YSU A: Physical and Mathematical Sciences, 2016
In the paper some properties of Lebesgue constants $\big\{L_n(W)\big\}_{n=1}^{\infty}$ of Vilenkin system are investigated. Non almost convergence property for the sequence $\left\{\dfrac{L_n(W)}{\log_2 n}\right\}_{n=2}^{\infty}$ is obtained.
openaire   +1 more source

Stochastic integration with respect to cylindrical Lévy processes in Hilbert spaces

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract In this work, we present a comprehensive theory of stochastic integration with respect to arbitrary cylindrical Lévy processes in Hilbert spaces. As cylindrical Lévy processes do not enjoy a semimartingale decomposition, our approach relies on an alternative approach to stochastic integration by decoupled tangent sequences.
Gergely Bodó, Markus Riedle
wiley   +1 more source

Cosmic Strings and Their Induced Non‐Gaussianities in the Cosmic Microwave Background

Advances in Astronomy, Volume 2010, Issue 1, 2010., 2010
Motivated by the fact that cosmological perturbations of inflationary quantum origin were born Gaussian, the search for non‐Gaussianities in the cosmic microwave background (CMB) anisotropies is considered as the privileged probe of nonlinear physics in the early universe. Cosmic strings are active sources of gravitational perturbations and incessantly
Christophe Ringeval, Eiichiro Komatsu
wiley   +1 more source

Foundations for Applications of Gibbs Derivatives in Logic Design and VLSI

VLSI Design, Volume 14, Issue 1, Page 65-81, 2002., 2002
New technologies and increased requirements for performances of digital systems require new mathematical theories and tools as a basis for future VLSI CAD systems. New or alternative mathematical approaches and concepts must be suitable to solve some concrete problems in VLSI and efficient algorithms for their efficient application should be provided ...
Radomir S. Stanković, Milena Stanković, Reiner Creutzburg   +2 more
wiley   +1 more source

Spectral Interpretation and Applications of Decision Diagrams

VLSI Design, Volume 11, Issue 2, Page 85-105, 2000., 2000
Different Decision Diagrams (DDs) for representation of discrete functions are discussed. DDs can be derived by applying some reduction rules to Decision Trees (DTs) which in turn are graphical representations of some function expressions for discrete functions.
Bogdan J. Falkowski, Radomir S. Stanković   +1 more
wiley   +1 more source

Uncertainty product for Vilenkin groups

, 2018
We study a localization of functions defined on Vilenkin groups. To measure the localization, we introduce two uncertainty products [Formula: see text] and [Formula: see text] that are similar to the Heisenberg uncertainty product.
Elena Lebedeva, Ivan Kovalyov
core   +1 more source

Uniqueness Theorems for Multiple Series by Vilenkin and Generalized Haar Systems

Armenian Journal of Mathematics, 2022
In this paper we discuss the uniqueness property of a summation method for multiple series with respect to Vilenkin and generalized Haar systems. It is proved that if the multiple series with respect to these systems is a.e. summable by that method to an integrable function on $[0,1)^d$ and satisfies an extra condition, then it is the Fourier series of
openaire   +2 more sources

TWO-SIDED ESTIMATES OF THE LEBESGUE CONSTANTS WITH RESPECT TO VILENKIN SYSTEMS AND APPLICATIONS [PDF]

Glasgow Mathematical Journal, 2017
AbstractIn this paper, we derive two-sided estimates of the Lebesgue constants for bounded Vilenkin systems, we also present some applications of importance, e.g., we obtain a characterization for the boundedness of a subsequence of partial sums with respect to Vilenkin–Fourier series of H1 martingales in terms of n's variation. The conditions given in
Blahota, Istvan, Persson, Lars Erik, Tephnadze, G   +2 more
openaire   +2 more sources

WAVELETS ON VILENKIN GROUPS [PDF]

, 2017
В статье обсуждается использование графов для построения вейвлетов на группах Ви- ленкина. Работа является логическим продолжением работ с участием автора по на- хождению непереборного алгоритма построения масштабирующей функции, порож- дающей ...
Бердников Глеб Сергеевич
core