Results 31 to 40 of about 7,361 (311)

On the generalized riemann integral and stochastic integral [PDF]

open access: yesJournal of the Australian Mathematical Society, 1976
In Lee (submitted), the GW-integral (the generalized Riemann integral using Wiener measure) is defined. The object of this article is to define stochastic integral in the set up given in Lee (submitted). We also investigate the connection between the stochastic integral defined with the Legesgue counter part, the Paley-Wiener-Zygmund integral in Paley,
openaire   +2 more sources

Mittag–Leffler Fractional Stochastic Integrals and Processes with Applications

open access: yesMathematics
We study Mittag–Leffler (ML) fractional integrals involved in the solution processes of a system of coupled fractional stochastic differential equations.
Enrica Pirozzi
doaj   +1 more source

Strong Law of Large Numbers for Solutions of Non-Autonomous Stochastic Differential Equations

open access: yesНаукові вісті Національного технічного університету України "Київський політехнічний інститут", 2017
Background. Asymptotic behavior at infinity of non-autonomous stochastic differential equation solutions is studied in the paper.  Objective. The aim of the work is to find sufficient conditions for the strong law of large numbers for a random process ...
Oleg I. Klesov   +2 more
doaj   +1 more source

Integration with Stochastic Point Processes [PDF]

open access: yesACM Transactions on Graphics, 2016
We present a novel comprehensive approach for studying error in integral estimation with point distributions based on point process statistics. We derive exact formulae for bias and variance of integral estimates in terms of the spatial or spectral characteristics of integrands and first- and-second order product density measures of general point ...
openaire   +2 more sources

Salmonella lipopolysaccharide‐containing supported lipid bilayers as platforms to study bacteriophage interactions

open access: yesFEBS Letters, EarlyView.
We present robust protocols for the preparation of supported lipid bilayers (SLBs) incorporating either Salmonella smooth LPS or outer membrane vesicles (OMVs). We use a combination of quartz crystal microbalance with dissipation (QCM‐D) and fluorescence microscopy to both characterize the SLBs of various compositions and to probe their interactions ...
Hudson P. Pace   +6 more
wiley   +1 more source

Markov Property and Operads

open access: yesEntropy, 2004
We define heat kernel measure on punctured spheres. The random field which is got by this procedure is not Gaussian. We define a stochastic line bundle on the loop space, such that the punctured sphere corresponds to a generalized parallel transport on ...
Rémi Léandre
doaj   +1 more source

Generalized fractional inequalities of the Hermite-Hadamard type via new Katugampola generalized fractional integrals

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2022
A new generalization of the Katugampola generalized fractional integrals in terms of the Mittag-Leffler functions is proposed. Consequently, new generalizations of the Hermite-Hadamard inequalities by this newly proposed fractional integral operator, for
M. Omaba
doaj   +1 more source

From mice to humans—divergent strategies for intestinal homeostasis and regeneration

open access: yesFEBS Letters, EarlyView.
Recent advances such as organoid genome editing, xenotransplantation, imaging, and whole‐genome sequencing have enabled direct studies of human intestinal stem cells (ISCs). These studies reveal species‐specific features, including slower ISC proliferation, distinct injury responses, slower somatic mutation accumulation in humans, and an inverse ...
Keiko Ishikawa   +2 more
wiley   +1 more source

Stochastic integrals and their expectations [PDF]

open access: yes, 2005
This article explains how the Itovsn3 package can be extended to add various properties and rules for ItoIntegral, which represents a stochastic or Itô integral.
Kendall, W. S.
core  

Construction of Lyapunov functions from first integrals for stochastic stability analysis

open access: yesApplied and Computational Mechanics
This paper explores the application of first integrals in constructing Lyapunov functions for stability analysis of dynamical systems in stochastic domains. A key advantage of using first integrals is their ability to embed system-specific structural and
Náprstek J., Fischer C.
doaj   +1 more source

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