Results 1 to 10 of about 5,764 (228)

On Wick calculus and its relationship with stochastic integration on spaces of regular test functions in the Lévy white noise analysis

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2022
We deal with spaces of regular test functions in the Lévy white noise analysis, which are constructed using Lytvynov's generalization of a chaotic representation property.
N.A. Kachanovsky
doaj   +1 more source

Stochastic Wiener filter in the white noise space [PDF]

open access: yesOpuscula Mathematica, 2020
In this paper we introduce a new approach to the study of filtering theory by allowing the system's parameters to have a random character. We use Hida's white noise space theory to give an alternative characterization and a proper generalization to the ...
Daniel Alpay, Ariel Pinhas
doaj   +1 more source

On a Wick-type stochastic parabolic equations with random potentials

open access: yesPartial Differential Equations in Applied Mathematics, 2023
Stochastic parabolic equations with random potentials, where the Wick product is used to give sense to the product of generalized stochastic processes, are considered.
Snežana Gordić   +2 more
doaj   +1 more source

Hypercomplex Systems and Non-Gaussian Stochastic Solutions with Some Numerical Simulation of χ-Wick-Type (2 + 1)-D C-KdV Equations

open access: yesAxioms, 2022
In this article, we discuss the (2 + 1)-D coupled Korteweg–De Vries (KdV) equations whose coefficients are variables, and stochastic (2 + 1)-D C-KdV (C-KdV) equations with the χ-Wick-type product.
Mohammed Zakarya   +2 more
doaj   +1 more source

Wick’s Theorem for Matrix Product States [PDF]

open access: yesPhysical Review Letters, 2013
Matrix-product states and their continuous analogues are variational classes of states that capture quantum many-body systems or quantum fields with low entanglement; they are at the basis of the density-matrix renormalization group method and continuous variants thereof.
Hubener R., Mari A., Eisert J.
openaire   +6 more sources

A framework to investigate the impact of topography and product characteristics on electronic cigarette emissions. [PDF]

open access: yesPLoS ONE, 2018
SIGNIFICANCE:Protocols for testing and reporting emissions of Harmful and Potentially Harmful Constituents (HPHCs) from electronic cigarettes (e-cigs) are lacking.
Risa J Robinson   +4 more
doaj   +1 more source

Convergence of the Wick Star Product [PDF]

open access: yesCommunications in Mathematical Physics, 2007
27 pages, LaTeX2e, no ...
Beiser, Svea   +2 more
openaire   +3 more sources

White noise based stochastic calculus associated with a class of Gaussian processes [PDF]

open access: yesOpuscula Mathematica, 2012
Using the white noise space setting, we define and study stochastic integrals with respect to a class of stationary increment Gaussian processes. We focus mainly on continuous functions with values in the Kondratiev space of stochastic distributions ...
Daniel Alpay, Haim Attia, David Levanony
doaj   +1 more source

Hölder‐Type Inequalities for Norms of Wick Products [PDF]

open access: yesInternational Journal of Stochastic Analysis, 2008
Various upper bounds for the L2‐norm of the Wick product of two measurable functions of a random variable X, having finite moments of any order, together with a universal minimal condition, are proven. The inequalities involve the second quantization operator of a constant times the identity operator.
LANCONELLI A, STAN A
openaire   +5 more sources

Wick calculus on spaces of regular generalized functions of Levy white noise analysis

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2018
Many objects of the Gaussian white noise analysis (spaces of test and generalized functions, stochastic integrals and derivatives, etc.) can be constructed and studied in terms of so-called chaotic decompositions, based on a chaotic representation ...
M.M. Frei
doaj   +1 more source

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