Results 1 to 10 of about 6,172 (110)
Karpatsʹkì 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
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Stochastic Wiener filter in the white noise space [PDF]
Opuscula 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
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On a Wick-type stochastic parabolic equations with random potentials
Partial 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
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Axioms, 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
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A framework to investigate the impact of topography and product characteristics on electronic cigarette emissions. [PDF]
PLoS 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
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Wick calculus on spaces of regular generalized functions of Levy white noise analysis
Karpatsʹkì 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
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White noise based stochastic calculus associated with a class of Gaussian processes [PDF]
Opuscula 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
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Karpatsʹkì Matematičnì Publìkacìï, 2019 We deal with spaces of nonregular generalized functions in the Lévy white noise analysis, which are constructed using Lytvynov's generalization of a chaotic representation property.
N.A. Kachanovsky, T.O. Kachanovska
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On Wick calculus on spaces of nonregular generalized functions of Levy white noise analysis
Karpatsʹkì Matematičnì Publìkacìï, 2018 Development of a theory of test and generalized functions depending on infinitely many variables is an important and actual problem, which is stipulated by requirements of physics and mathematics.
N.A. Kachanovsky
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Spectral action and the electroweak θ-terms for the Standard Model without fermion doubling
Journal of High Energy Physics, 2021 We compute the leading terms of the spectral action for a noncommutative geometry model that has no fermion doubling. The spectral triple describing it, which is chiral and allows for CP-symmetry breaking, has the Dirac operator that is not of the ...
A. Bochniak, A. Sitarz, P. Zalecki
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