Results 31 to 40 of about 329,029 (283)

Interconnection between Wick multiplication and integration on spaces of nonregular generalized functions in the Lévy white noise analysis

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2019
We deal with spaces of nonregular generalized functions in the Lévy white noise analysis, which are constructed using Lytvynov's generalization of a chaotic representation property.
N.A. Kachanovsky, T.O. Kachanovska
doaj   +1 more source

On the Representation of the Goursat Boundary Problem Solution for the First Order Partial Derivatives Stochastic Hyperbolic Equations

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2023
We study the standard canonical form of a stochastic analog of a system of linear partial differential equations of first order hyperbolic type with Goursat boundary conditions.
K.B. Mansimov, R.O. Mastaliyev
doaj   +1 more source

Stability Issues for Selected Stochastic Evolutionary Problems: A Review

open access: yesAxioms, 2018
We review some recent contributions of the authors regarding the numerical approximation of stochastic problems, mostly based on stochastic differential equations modeling random damped oscillators and stochastic Volterra integral equations.
Angelamaria Cardone   +3 more
doaj   +1 more source

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

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

Transport equation driven by a stochastic measure

open access: yesModern Stochastics: Theory and Applications, 2023
The stochastic transport equation is considered where the randomness is given by a symmetric integral with respect to a stochastic measure. For a stochastic measure, only σ-additivity in probability and continuity of paths is assumed.
Vadym Radchenko
doaj   +1 more source

Optimal Control Problems of Forward-Backward Stochastic Volterra Integral Equations [PDF]

open access: yes, 2014
Optimal control problems of forward-backward stochastic Volterra integral equations (FBSVIEs in short) are formulated and studied. A general duality principle is established for linear backward stochastic integral equation and linear stochastic Fredholm ...
Shi, Yufeng   +2 more
core  

AAA+ protein unfoldases—the Moirai of the proteome

open access: yesFEBS Letters, EarlyView.
AAA+ unfoldases are essential molecular motors that power protein degradation and disaggregation. This review integrates recent cryo‐electron microscopy (cryo‐EM) structures and single‐molecule biophysical data to reconcile competing models of substrate translocation.
Stavros Azinas, Marta Carroni
wiley   +1 more source

Small RNA pathways in mammalian oocytes

open access: yesFEBS Open Bio, EarlyView.
Three distinct small RNA pathways operate in mammalian oocytes: RNAi interference (RNAi), the microRNA (miRNA) pathway, and the PIWI‐associated RNA (piRNA) pathway. These pathways use small RNAs to guide sequence‐specific repression and contribute to oocyte biology by targeting genes and mobile elements or appear insignificant since different ...
Petr Svoboda, Josef Pasulka
wiley   +1 more source

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