Results 11 to 20 of about 330,073 (232)
Aumann Type Set-valued Lebesgue Integral and Representation Theorem [PDF]
International Journal of Computational Intelligence Systems, 2009 n this paper, we shall firstly illustrate why we should discuss the Aumann type set-valued Lebesgue integral of a set-valued stochastic process with respect to time t under the condition that the set-valued stochastic process takes nonempty compact ...
Jungang Li, Shoumei Li
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Karpatsʹkì Matematičnì Publìkacìï, 2022 We deal with spaces of regular test functions in the Lévy white noise analysis, which are constructed using Lytvynov's generalization of a chaotic representation property.
N.A. Kachanovsky
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Directional Stochastic Orders with an Application to Financial Mathematics
Mathematics, 2021 Relevant integral stochastic orders share a common mathematical model, they are defined by generators which are made up of increasing functions on appropriate directions. Motivated by the aim to provide a unified study of those orders, we introduce a new
María Concepción López-Díaz +2 more
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Feynman--Kac formula for the heat equation driven by fractional noise with Hurst parameter $H<1/2$ [PDF]
, 2012 In this paper, a Feynman-Kac formula is established for stochastic partial differential equation driven by Gaussian noise which is, with respect to time, a fractional Brownian motion with Hurst parameter ...
Hu, Yaozhong, Lu, Fei, Nualart, David
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Backward stochastic variational inequalities driven by multidimensional fractional Brownian motion [PDF]
Opuscula Mathematica, 2018 We study the existence and uniqueness of the backward stochastic variational inequalities driven by \(m\)-dimensional fractional Brownian motion with Hurst parameters \(H_k\) (\(k=1,\ldots m\)) greater than \(1/2\).
Dariusz Borkowski +1 more
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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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Risenologi, 2020 The implementation of Lévy path integral generated by Lévy stochastic process on fractional Schrödinger equation has been investigated in the framework of fractional quantum mechanics.
Chandra Halim, M. Farchani Rosyid
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Set-Valued Stochastic Equation with Set-Valued Square Integrable Martingale
ITM Web of Conferences, 2017 In this paper, we shall introduce the stochastic integral of a stochastic process with respect to set-valued square integrable martingale. Then we shall give the Aumann integral measurable theorem, and give the set-valued stochastic Lebesgue integral and
Li Jun-Gang, Zheng Shi-Qing
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Mathematics, 2021 It is well known that Stochastic equations had many useful applications in describing numerous events and problems of real world, and the nonlocal integral condition is important in physics, finance and engineering.
Ahmed M. A. El-Sayed, Hoda A. Fouad
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Pathwise solvability of stochastic integral equations with generalized drift and non-smooth dispersion functions [PDF]
, 2016 We study one-dimensional stochastic integral equations with non-smooth dispersion coefficients, and with drift components that are not restricted to be absolutely continuous with respect to Lebesgue measure.
Karatzas, Ioannis, Ruf, Johannes
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