Results 31 to 40 of about 1,202,734 (310)
Maximum of Dyson Brownian motion and non-colliding systems with a boundary [PDF]
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
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Nanofluids are a new generation of high-efficiency refrigerant with abnormal increased thermal conductivity and convective heat transfer properties.
Wenzheng Cui +3 more
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The flashing Brownian ratchet and Parrondo’s paradox [PDF]
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
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Multiscale Volatility Analysis for Noisy High-Frequency Prices
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
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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]
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.
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A promising new energy source: The Brownian motion of nanoresonator arrays
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]
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
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Ballistic Brownian motion of nanoconfined DNA [PDF]
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
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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

