Results 11 to 20 of about 15,808 (165)

A representation free quantum stochastic calculus [PDF]

open access: yesJournal of Functional Analysis, 1992
The purpose of quantum stochastic calculus is the behaviour of quantum systems driven by the usual interactions of quantum physics, and by a ``quantum noise''. In classical probability, one first studied the Wiener (Brownian) noise and the corresponding stochastic differential equations, then the Poisson noises, then martingale and semimartingale ...
ACCARDI, L.   +3 more
openaire   +5 more sources

A stochastic fractional Laplace equation driven by colored noise on bounded domain, and its covariance functional [PDF]

open access: yes, 2022
The paper provides conditions for the fractional Laplacian and its spectral representation on stationary Gaussian random fields to be well-defined. In addition, we study existence and uniqueness of the weak solution for a stochastic fractional elliptic ...
Porcu, Emilio   +2 more
core   +1 more source

Boson Fock Representations of Stochastic Processes [PDF]

open access: yesMathematical Notes, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
ACCARDI, LUIGI, Hida, T, Htay, W. W.
openaire   +2 more sources

Space representation of stochastic processes with delay [PDF]

open access: yesPhysical Review E, 2008
6 pages, 8 ...
Dahmen, Silvio R.   +2 more
openaire   +3 more sources

Spatial Characterization of Electromagnetic Random Channels

open access: yesIEEE Open Journal of the Communications Society, 2022
The majority of stochastic channel models rely on the electromagnetic far-field assumption, which allows to decompose the channel in terms of plane waves.
Andrea Pizzo   +2 more
doaj   +1 more source

Stochastic Representation and Monte Carlo Simulation for Multiterm Time-Fractional Diffusion Equation

open access: yesAdvances in Mathematical Physics, 2020
In this paper, we mainly study the solution and properties of the multiterm time-fractional diffusion equation. First, we obtained the stochastic representation for this equation, which turns to be a subordinated process.
Longjin Lv, Luna Wang
doaj   +1 more source

Stochastic analysis of Gaussian processes via Fredholm representation [PDF]

open access: yes, 2016
We show that every separable Gaussian process with integrable variance function admits a Fredholm representation with respect to a Brownian motion. We extend the Fredholm representation to a transfer principle and develop stochastic analysis by using it.
Viitasaari, Lauri   +3 more
core   +1 more source

Stochastic Recursive Gradient Support Pursuit and Its Sparse Representation Applications

open access: yesSensors, 2020
In recent years, a series of matching pursuit and hard thresholding algorithms have been proposed to solve the sparse representation problem with ℓ0-norm constraint.
Fanhua Shang   +5 more
doaj   +1 more source

Set-Valued Stochastic Lebesque Integral and Representation Theorems [PDF]

open access: yesInternational Journal of Computational Intelligence Systems, 2008
In this paper, we shall firstly illustrate why we should introduce set-valued stochastic integrals, and then we shall discuss some properties of set-valued stochastic processes and the relation between a set-valued stochastic process and its selection ...
Jungang Li, Shoumei Li
doaj   +1 more source

How to differentiate a quantum stochastic cocycle. [PDF]

open access: yes, 2010
Two new approaches to the infinitesimal characterisation of quantum stochastic cocycles are reviewed. The first concerns mapping cocycles on an operator space and demonstrates the role of H\"older continuity; the second concerns contraction operator ...
Lindsay, J Martin   +2 more
core   +1 more source

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