Results 31 to 40 of about 29,966 (283)
Iterated stochastic integrals and random velocity fluctuations
International Journal of Mathematics for Industry, 2023 Iterated stochastic integrals of nonrandom integrands are constructed in the two-dimensional case. They are applied to the velocity fluctuations in a two-dimensional flow and mean kinetic energy of the velocity fluctuations is discussed.
Kouji Yamamuro
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Three-loop contributions to the ρ parameter and iterated integrals of modular forms
Journal of High Energy Physics, 2020 We compute fully analytic results for the three-loop diagrams involving two different massive quark flavours contributing to the ρ parameter in the Standard Model.
Samuel Abreu +3 more
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Проблемы анализа, 2020 Here we present very general iterated fractional Bochner integral representation formulae for Banach space valued functions. Based on these we derive generalized and iterated left and right: fractional Poincar´e type inequalities, fractional Opial type ...
George A. Anastassiou
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, 2016 A functional is said to be maxitive if it commutes with the (pointwise) supremum operation. Such functionals find application in particular in decision theory and related fields.
Cattaneo, Marco E. G. V.
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Iterated and generalized iterated integrals
Journal of Algebra and Its ApplicationsFor a differential field [Formula: see text] having an algebraically closed field of constants, we analyze the structure of Picard–Vessiot extensions of [Formula: see text] whose differential Galois groups are unipotent algebraic groups and apply these results to study stability problems in integration in finite terms and the inverse problem in ...
Chitrarekha Sahu +2 more
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Automated solution of first order factorizable systems of differential equations in one variable
Nuclear Physics B, 2019 We present an algorithm which allows to solve analytically linear systems of differential equations which factorize to first order. The solution is given in terms of iterated integrals over an alphabet where its structure is implied by the coefficient ...
J. Ablinger +4 more
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The three-loop equal-mass banana integral in ε-factorised form with meromorphic modular forms
Journal of High Energy Physics, 2022 We show that the differential equation for the three-loop equal-mass banana integral can be cast into an ε-factorised form with entries constructed from (meromorphic) modular forms and one special function, which can be given as an iterated integral of ...
Sebastian Pögel +2 more
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Non-commutative Hilbert modular symbols
, 2014 The main goal of this paper is to construct non-commutative Hilbert modular symbols. However, we also construct commutative Hilbert modular symbols.
Horozov, Ivan
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A QQ→QQ planar double box in canonical form
Physics Letters B, 2018 We consider a planar double box with four massive external momenta and two massive internal propagators. We derive the system of differential equations for the relevant master integrals, cast it in canonical form, write it as a dlog form and solve it in ...
Marco S. Bianchi, Matias Leoni
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Iterative Non-iterative Integrals in Quantum Field Theory [PDF]
, 2019 Single scale Feynman integrals in quantum field theories obey difference or differential equations with respect to their discrete parameter $N$ or continuous parameter $x$. The analysis of these equations reveals to which order they factorize, which can be different in both cases. The simplest systems are the ones which factorize to first order.
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