Results 31 to 40 of about 1,202,734 (310)

Maximum of Dyson Brownian motion and non-colliding systems with a boundary [PDF]

open access: yes, 2009
We prove an equality-in-law relating the maximum of GUE Dyson's Brownian motion and the non-colliding systems with a wall. This generalizes the well known relation between the maximum of a Brownian motion and a reflected Brownian ...
Warren, Jon   +4 more
core   +1 more source

Rotation and migration of nanoparticles for heat transfer augmentation in nanofluids by molecular dynamics simulation

open access: yesCase Studies in Thermal Engineering, 2015
Nanofluids are a new generation of high-efficiency refrigerant with abnormal increased thermal conductivity and convective heat transfer properties.
Wenzheng Cui   +3 more
doaj   +1 more source

The flashing Brownian ratchet and Parrondo’s paradox [PDF]

open access: yesRoyal Society Open Science, 2018
A Brownian ratchet is a one-dimensional diffusion process that drifts towards a minimum of a periodic asymmetric sawtooth potential. A flashing Brownian ratchet is a process that alternates between two regimes, a one-dimensional Brownian motion and a ...
S. N. Ethier, Jiyeon Lee
doaj   +1 more source

Multiscale Volatility Analysis for Noisy High-Frequency Prices

open access: yesRisks, 2023
We present a multiscale analysis of the volatility of intraday prices from high-frequency data. Our multiscale framework includes a fractional Brownian motion and microstructure noise as the building blocks.
Tim Leung, Theodore Zhao
doaj   +1 more source

The Brownian Motion [PDF]

open access: yes, 2019
This open access textbook is the first to provide Business and Economics Ph.D. students with a precise and intuitive introduction to the formal backgrounds of modern financial theory. It explains Brownian motion, random processes, measures, and Lebesgue integrals intuitively, but without sacrificing the necessary mathematical formalism, making them ...
Löffler, Andreas, Kruschwitz, Lutz
openaire   +4 more sources

Hausdorff measure of arcs and Brownian motion on Brownian spatial trees [PDF]

open access: yes, 2009
A Brownian spatial tree is defined to be a pair $(\mathcal{T},\phi)$, where $\mathcal{T}$ is the rooted real tree naturally associated with a Brownian excursion and φ is a random continuous function from $\mathcal{T}$ into ℝd such that, conditional on ...
Croydon, David A.
core   +1 more source

A promising new energy source: The Brownian motion of nanoresonator arrays

open access: yesEPJ Web of Conferences, 2014
It is proposed a device designed to extract the Brownian motion energy. Since Brownian motion is usually a whoolly disordered motion, the first step consists in putting it in order with resonators, the Brownian motion of which is organized.
Rattinacannou Jean-Selva
doaj   +1 more source

Linear filtering with fractional Brownian motion in the signal and observation processes [PDF]

open access: yes, 1999
Integral equations for the mean-square estimate are obtained for the linear filtering problem, in which the noise generating the signal is a fractional Brownian motion with Hurst index h∈(3/4,1) and the noise in the observation process includes a ...
Kloeden, Peter E.   +2 more
core   +1 more source

Ballistic Brownian motion of nanoconfined DNA [PDF]

open access: yes, 2023
Theoretical treatments of polymer dynamics in liquid generally start with the basic assumption that motion at the smallest scale is heavily overdamped; therefore, inertia can be neglected.
Zhiyong, Zheng   +10 more
core   +2 more sources

Impact of Multiplicative Noise on the Exact Solutions of the Fractional-Stochastic Boussinesq-Burger System

open access: yesJournal of Mathematics, 2022
In this paper, we consider the fractional-stochastic Boussinesq-Burger system (FSBBS) generated by the multiplicative Brownian motion. The Jacobi elliptic function techniques are used to create creative elliptic, hyperbolic, and rational fractional ...
Wael W. Mohammed   +2 more
doaj   +1 more source

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