Results 21 to 30 of about 6,363 (247)
A mathematical approach to Wick rotations [PDF]
, 2020 In this thesis we define Wick-rotations mathematically using pseudo-Riemannian geometry, and relate Wick-rotations to real geometric invariant theory (GIT).
Helleland, Christer
core +1 more source
Hölder‐Type Inequalities for Norms of Wick Products [PDF]
International 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
NO ZERO DIVISOR FOR WICK PRODUCT IN (S)* [PDF]
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2008 In White Noise Analysis (WNA), various random quantities are analyzed as elements of (S)*, the space of Hida distributions.1 Hida distributions are generalized functions of white noise, which is to be naturally viewed as the derivative of the Brownian motion. On (S)*, the Wick product is defined in terms of the [Formula: see text]-transform.
Hasebe, Takahiro +2 more
openaire +2 more sources
On a Wick-type stochastic parabolic equations with random potentials
, 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
core +2 more sources
A note on Wick products and the fractional Black-Scholes model [PDF]
Finance and Stochastics, 2005 In some recent papers (Elliott and van der Hoek 2003; Hu and Oksendal 2003) a fractional Black-Scholes model has been proposed as an improvement of the classical Black-Scholes model (see also Benth 2003; Biagini et al. 2002; Biagini and Oksendal 2004). Common to these fractional Black-Scholes models is that the driving Brownian motion is replaced by a ...
Björk, Tomas, Hult, Henrik
openaire +2 more sources
Wick’s theorem for nonsymmetric normal ordered products and contractions [PDF]
Journal of Mathematical Physics, 1998 We consider arbitrary splits of field operators into two parts; ψ=ψ++ψ−, and use the corresponding definition of normal ordering introduced earlier [T. S. Evans and D. A. Steer, Nucl. Phys. B 474, 481 (1996)]. In this case the normal ordered products and contractions have none of the special symmetry properties assumed in existing proofs of Wick’s ...
Evans, TS, Kibble, TWB, Steer, DA
openaire +3 more sources
Field theory on noncommutative spacetimes: Quasiplanar Wick products [PDF]
Physical Review D, 2005 We give a definition of admissible counterterms appropriate for massive quantum field theories on the noncommutative Minkowski space, based on a suitable notion of locality. We then define products of fields of arbitrary order, the so-called quasiplanar Wick products, by subtracting only such admissible counterterms.
D. BAHNS +3 more
openaire +4 more sources
Wick products of the CAR algebra [PDF]
Proceedings of the American Mathematical Society, 1998 The purpose of this paper is to put in a precise mathematical (algebraic) form the Wick products of the CAR algebra. We state in detail the reduction of the ordinary product of Fermi fields in terms of a finite sum of monomials in the creation and annihilation operators in which all creation operators occur to the left of all annihilation operators ...
openaire +2 more sources
Morita equivalence bimodules for Wick type star products [PDF]
Journal of Geometry and Physics, 2003 In this paper, the notion of star products with separation of variables on a Kahler manifold is extended to bimodule deformations of (anti-) holomorphic vector bundles over a Kahler manifold. Here the Fedosov construction is appropriately adapted using the geometric data of a connection in the vector bundle.
Neumaier, Nikolai, Waldmann, Stefan
openaire +2 more sources
Bilinear wavelet representation of Calderón-Zygmund forms [PDF]
, 2023 We represent a bilinear Calderón–Zygmund operator at a given smoothness level as a finite sum of cancellative, complexity-zero operators, involving smooth wavelet forms, and continuous paraproduct forms. This representation results in a sparse T ( 1
Francesco Di Plinio +2 more
core +1 more source