Results 11 to 20 of about 6,363 (247)

Convergence of the Wick Star Product [PDF]

open access: yesCommunications in Mathematical Physics, 2007
27 pages, LaTeX2e, no ...
Beiser, Svea   +2 more
openaire   +5 more sources

Wick Calculus for Noncommutative White Noise Corresponding to q-Deformed Commutation Relations [PDF]

open access: yesComplex Analysis and Operator Theory, 2017
We derive the Wick calculus for test and generalized functionals of noncommutative white noise corresponding to q-deformed commutation relations with $q\in(-1,1)$.We construct a Gel'fand triple centered at the q-deformed Fock space in which both the ...
Un Cig Ji, Eugene Lytvynov
core   +3 more sources

On Wick product of generalized operators

open access: yesChinese Science Bulletin, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Luo, Shunlong, Yan, Jia'an
openaire   +3 more sources

A connection between the Poissonian Wick product and the discrete convolution

open access: yesCommunications on Stochastic Analysis, 2011
Inspired by Lemma 3.1 in (4), where a connection between the Gaussian Wick product and the classic convolution product is shown, we prove that the Wick product associated to the Poisson distribution is re- lated to the discrete convolution and hence to the law of the sum of discrete independent random variables. The proof of the main result is based on
Lanconelli A, Sportelli L
openaire   +5 more sources

On the Wick product and Wong-Zakai approximations. [PDF]

open access: yes, 2023
This thesis is a compilation of 6 papers that the author has written together with Alberto Lanconelli (chapters 3, 5 and 8) and Hyun-Jung Kim (ch 7). The logic thread that link all these chapters together is the interest to analyze and approximate the solutions of certain stochastic differential equations using the so called Wick product as the basic ...
Scorolli, Ramiro <1994>
openaire   +2 more sources

The wick-malliavin approximation of elliptic problems with log-normal random coefficients

open access: yesSIAM Journal of Scientific Computing, 2013
In this work, we discuss the approximation of elliptic problems with log-normal random coefficients using the Wick product and the Mikulevicius-Rozovskii formula.
Wan, Xiaoliang, Rozovskii, Boris L.
core   +2 more sources

Hopf-algebraic Deformations of Products and Wick Polynomials [PDF]

open access: yesInternational Mathematics Research Notices, 2018
Abstract We present an approach to cumulant–moment relations and Wick polynomials based on extensive use of convolution products of linear functionals on a coalgebra. This allows, in particular, to understand the construction of Wick polynomials as the result of a Hopf algebra deformation under the action of linear automorphisms induced ...
Ebrahimi-Fard, Kurusch   +3 more
openaire   +6 more sources

Wick product and semigroup.

open access: yes, 2003
The purpose of this paper is to establish a relation between Wick version of analytic functions with respect to the brownian motion and its associated semigroup.
Lanconelli, Alberto
openaire   +2 more sources

Wick products of the free Bose field

open access: yesJournal of Functional Analysis, 1989
AbstractWe consider Wick products of the free Bose field in the abstract context of a complex Hilbert space H equipped with a self-adjoint operator A satisfying A ⩾ εI for some ε > 0. Let (K, W, Γ, ν) be the free Bose field over H, and let H = dΓ(A). Let H∞ and K∞ denote D∞(A) and D∞(H) respectively, given their natural Frechét topologies. Then for any
Baez, John C.
openaire   +2 more sources

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   +5 more sources

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