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Diffusions are widely used in finance due to their tractability. Driftless diffusions are needed to describe ratios of asset prices under a martingale measure.
Peter Carr
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Active Brownian motion of strongly coupled charged grains driven by laser radiation in plasma [PDF]
The systems of active Brownian grains can be considered as open systems, in which there is an exchange of energy and matter with the environment. The collective phenomena of active Brownian grains can demonstrate analogies with ordinary phase transitions.
Oleg F. Petrov +2 more
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3D Active Brownian Motion of Single Dust Particles Induced by a Laser in a DC Glow Discharge [PDF]
The active Brownian motion of single dust particles of various types in the 3D electrostatic DC discharge trap under the action of laser radiation is studied experimentally. Spherical dust particles with a homogeneous surface, as well as Janus particles,
Anton S. Svetlov +4 more
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Brownian Motion of Graphene [PDF]
We study the Brownian motion (BM) of optically trapped graphene flakes. These orient orthogonal to the light polarization, due to the optical constants anisotropy. We explain the flake dynamics, measure force and torque constants and derive a full electromagnetic theory of optical trapping. The understanding of two dimensional BM paves the way to light-
Onofrio M Marago +2 more
exaly +7 more sources
Chapter 8: Brownian Motion [PDF]
Editorial team for the Special Issue on Oosawa’s Lectures
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Numerical Solution of Vasicek Equation by Using Brownian Wavelets and Multiple Ito-Integral [PDF]
In this paper, we present a new approach to solving stochastic differential equations and the Vasicek equation by using Brownian wavelets and multiple Ito-integral.
Mahmoud Mahmoudi +1 more
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SOME BASIC PROPERTIES OF THE NOISE REINFORCED BROWNIAN MOTION
Noise reinforced Brownian motion appears as the universal limit of the step reinforced random walk. This article aims to study some basic properties of the noise reinforced Brownian motion.
Herry Pribawanto Suryawan
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Based on the present studies about the application of approximative fractional Brownian motion in the European option pricing models, our goal in the article is that we adopt the creative model by adding approximative fractional stochastic volatility to ...
Ying Chang, Yiming Wang, Sumei Zhang
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An Empirical Analysis of Price Jump and Asymmetric Information in Tehran Stock Exchange [PDF]
Deep understanding aboutthe impact of news and information on stock market is vital for analyzing and forecasting stock return. For this purpose, stochastic differential equations, such as geometric Brownian motion, geometric Brownian motion with jump ...
Saber Molaei +2 more
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Weighted Local Times of a Sub-fractional Brownian Motion as Hida Distributions
The sub-fractional Brownian motion is a Gaussian extension of the Brownian motion. It has the properties of self-similarity, continuity of the sample paths, and short-range dependence, among others.
Herry Pribawanto Suryawan
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