Gibbs measures with double stochastic integrals on a path space [PDF]
, 2007 We investigate Gibbs measures relative to Brownian motion in the case when the interaction energy is given by a double stochastic integral. In the case when the double stochastic integral is originating from the Pauli-Fierz model in nonrelativistic ...
Betz, Volker, Hiroshima, Fumio
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Boosting the Maxwell double layer potential using a right spin factor [PDF]
, 2018 We construct new spin singular integral equations for solving scattering problems for Maxwell's equations, both against perfect conductors and in media with piecewise constant permittivity, permeability and conductivity, improving and extending earlier ...
Rosén, Andreas
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Tracking fluctuating targets in extremely heterogeneous clutter using amplitude information
The Journal of Engineering, 2019 This study analyses the radar fluctuating target detection in G(0)-distributed clutter using dynamic programming – track before detect (DP-TBD) algorithm. G(0)-distributed clutter is often used to fit the complex circumstances. The authors use chi-square
Feng Li +4 more
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Dual parametrization of generalized parton distributions in two equivalent representations [PDF]
, 2014 The dual parametrization and the Mellin-Barnes integral approach represent two frameworks for handling the double partial wave expansion of generalized parton distributions (GPDs) in the conformal partial waves and in the $t$-channel ${\rm SO}(3 ...
Müller, Dieter +2 more
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Evaluating a double integral using Euler's method and Richardson extrapolation
Lietuvos Matematikos RinkinysWe transform a double integral into a second-order initial value problem, which we solve using Euler's method and Richardson extrapolation. For an example we consider, we achieve accuracy close to machine precision (~10-13).
Justin Steven Calder Prentice
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A Double Integral Containing the Fresnel Integral Function Sx: Derivation and Computation
Journal of Mathematics, 2022 A two-dimensional integral containing Sx is derived.
Robert Reynolds, Allan Stauffer
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On the double Lusin condition and convergence theorem for Kurzweil-Henstock type integrals [PDF]
Mathematica Bohemica, 2016 Equiintegrability in a compact interval $E$ may be defined as a uniform integrability property that involves both the integrand $f_n$ and the corresponding primitive $F_n$.
Abraham Racca, Emmanuel Cabral
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The Elliptic Double-Box Integral: Massless Amplitudes Beyond Polylogarithms [PDF]
, 2018 We derive an analytic representation of the ten-particle, two-loop double-box integral as an elliptic integral over weight-three polylogarithms. To obtain this form, we first derive a four-fold, rational (Feynman-)parametric representation for the ...
Bourjaily, Jacob L. +4 more
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Commuting Double Sugeno Integrals [PDF]
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2019 In decision problems involving two dimensions (like several agents in uncertainty) the properties of expected utility ensure that the result of a two-stepped procedure evaluation does not depend on the order with which the aggregations of local evaluations are performed (e.g., agents first, uncertainty next, or the converse).
Dubois, Didier +2 more
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Double Subordination-Preserving Properties for Certain Integral Operators
Journal of Inequalities and Applications, 2007 The purpose of the present paper is to obtain the sandwich-type theorem which contains the subordination- and superordination-preserving properties for certain integral operators defined on the space of normalized analytic functions in the open unit ...
Nak Eun Cho, Shigeyoshi Owa
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