Results 1 to 10 of about 15 (15)

Generalized BDSDEs driven by fractional Brownian motion

open access: yesNonautonomous Dynamical Systems, 2023
This article deals with a class of generalized backward doubly stochastic differential equations driven by fractional Brownian motion with the Hurst parameter HH greater than 1/2.
Aidara Sadibou   +2 more
doaj   +1 more source

A Fourier Analysis Based New Look at Integration

open access: yesAnnales Mathematicae Silesianae, 2023
We approach the problem of integration for rough integrands and integrators, typically representing trajectories of stochastic processes possessing only some Hölder regularity of possibly low order, in the framework of para-control calculus.
Imkeller Peter, Perkowski Nicolas
doaj   +1 more source

Fractional Measure-dependent Nonlinear Second-order Stochastic Evolution Equations with Poisson Jumps

open access: yesNonautonomous Dynamical Systems, 2018
This paper focuses on a nonlinear second-order stochastic evolution equations driven by a fractional Brownian motion (fBm) with Poisson jumps and which is dependent upon a family of probability measures.
McKibben Mark A., Webster Micah
doaj   +1 more source

An extension of the stochastic sewing lemma and applications to fractional stochastic calculus

open access: yesForum of Mathematics, Sigma
We give an extension of Lê’s stochastic sewing lemma. The stochastic sewing lemma proves convergence in $L_m$ of Riemann type sums $\sum _{[s,t] \in \pi } A_{s,t}$ for an adapted two-parameter stochastic process A, under certain conditions ...
Toyomu Matsuda, Nicolas Perkowski
doaj   +1 more source

Multiple G-Stratonovich integral in G-expectation space

open access: yesOpen Mathematics
The Stratonovich integral represents a fundamental concept in stochastic calculus. In this article, we first propose a novel approach inspired by the multidimensional G-Itô formula, establishing a multiple G-Stratonovich integral within the G-expectation
Fei Shaojin
doaj   +1 more source

On the weak convergence of multiparameter stochastic integrals

open access: yesOpen Mathematics
In this paper we provide sufficient conditions for sequences of stochastic processes of the form ∫ [0,t] f n(u)θ n(u)du, to weakly converge, in the space of continuous functions over a closed interval, to integrals with respect to the Brownian motion, ∫ [
Bardina Xavier, Boukfal Salim
doaj   +1 more source

A financial market with singular drift and no arbitrage. [PDF]

open access: yesMath Financ Econ, 2021
Agram N, Øksendal B.
europepmc   +1 more source

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