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A CHARACTERIZATION OF PROBABILITY MEASURES IN TERMS OF WICK PRODUCT INEQUALITIES
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2008It is known that if X is a normally distributed random variable, and ♢ and E denote the Wick product and expectation, respectively, then for any non-negative integers m and n, and any polynomial functions f and g of degrees at most m and n, respectively, the following inequality holds: [Formula: see text] We show that this result can be extended to a ...
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Linear stochastic differential equations and Wick products
Probability Theory and Related Fields, 1994We establish the existence and uniqueness of the solution to a multidimensional linear Skorokhod stochastic differential equation with deterministic diffusion matrix, using the notions of Wick product and \(S\)-transform. If the diffusion matrix is constant and has real eigenvalues, the solution is a stochastic process with moments of all orders ...
Buckdahn, R., Nualart, D.
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Provoking More Productive Discussion of Wicked Problems
Journal of Water Resources Planning and Management, 2012Water management is full of wicked problems. These problems often have many conflicting stakeholders with entrenched opposing positions, great complexity, shifting dynamics, and substantial uncertainties (Rittel and Webber 1973; Liebman 1976). Wicked problems elude clean technical and policy solutions. The challenges of solving such wicked problems are
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An inequality for norms of Poissonian Wick products
2013An inequality for the norms of Poisson Wick products, involving second quantization operators, will be presented.
Lanconelli A, Stan A
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The Fedosov class of the Wick type star-product
AIP Conference Proceedings, 2001The closed two-form is presented whose cohomological class coincides with the Fedosov class of the Wick-type star-product. For the case of the Kahler manifold this class is shown to be related to the first Chern class. In particular, we prove that the Wick type star-product on a Kahler manifold is equivalent to that of the Weyl type if the manifold is ...
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Wick products of the CCR algebra
Mathematische Nachrichten, 2011B. J. González, E. R. Negrin
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Some remarks on the wick product of interacting fields
Il Nuovo Cimento, 1961Compolattaro, A., Marinaro, M.
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