Results 21 to 30 of about 69,676 (112)
From quantum stochastic differential equations to Gisin-Percival state diffusion [PDF]
, 2017 Starting from the quantum stochastic differential equations of Hudson and Parthasarathy (Comm. Math. Phys. 93, 301 (1984)) and exploiting the Wiener-Ito-Segal isomorphism between the Boson Fock reservoir space $\Gamma(L^2(\mathbb{R}_+)\otimes (\mathbb{C}^
Devi, A. R. Usha, Parthasarathy, K. R.
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The Young type theorem in weighted Fock spaces
, 2017 We prove that for every radial weighted Fock space, the system biorthogonal to a complete and minimal system of reproducing kernels is also complete under very mild regularity assumptions on the weight.
Baranov, Anton +2 more
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Stochastic Wiener Filter in the White Noise Space [PDF]
, 2019 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 ...
Alpay, Daniel, Pinhas, Ariel
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Representation, relaxation and convexity for variational problems in Wiener spaces
, 2012 We show convexity of solutions to a class of convex variational problems in the Gauss and in the Wiener space. An important tool in the proof is a representation formula for integral functionals in this infinite dimensional setting, that extends ...
Chambolle, Antonin +2 more
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AxiomsThe Steklov–Zaremba problem for the Laplace operator in a bounded domain with a strictly Lipschitz boundary is considered. A homogeneous Dirichlet condition is specified on the closed part of the boundary of the domain, and the Steklov boundary condition
Yurij A. Alkhutov, Gregory A. Chechkin
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Exponential decay of stochastic oscillatory integrals on classical Wiener spaces
Journal of the Mathematical Society of Japan, 2003 The author uses the techniques developed by him and Malliavin to study oscillatory integrals on the Wiener space, and apply these techniques in a concrete case where Itô calculus can be used.
openaire +3 more sources
Wigner chaos and the fourth moment [PDF]
, 2012 We prove that a normalized sequence of multiple Wigner integrals (in a fixed order of free Wigner chaos) converges in law to the standard semicircular distribution if and only if the corresponding sequence of fourth moments converges to 2, the fourth ...
Giovanni Peccati +4 more
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Wick Calculus For Nonlinear Gaussian Functionals
, 2009 This paper surveys some results on Wick product and Wick renormalization. The framework is the abstract Wiener space. Some known results on Wick product and Wick renormalization in the white noise analysis framework are presented for classical random ...
A. Budhiraja +25 more
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Sampling and interpolation in de Branges spaces with doubling phase
, 2011 The de Branges spaces of entire functions generalise the classical Paley-Wiener space of square summable bandlimited functions. Specifically, the square norm is computed on the real line with respect to weights given by the values of certain entire ...
Marzo, Jordi +2 more
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On the essence of cyber space and its relationship with cybernetic space
Sučasnì Informacìjnì Tehnologìï u Sferì Bezpeki ta OboroniThe subject of the study is understanding of the relationship between the concepts of cyberspace and cybernetic space. The goal is to clarify the essence of the concept of cyberspace and outline its relationship with the cybernetic space. The task is to
Petro Snitsarenko +2 more
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