Brownian motion

Known as: Brown motion, Brownie in motion, Brownian diffusion 
Brownian motion or pedesis (from Ancient Greek: πήδησις /pέːdεːsis/ "leaping") is the random motion of particles suspended in a fluid (a liquid or a… (More)
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Topic mentions per year

Topic mentions per year

1940-2017
020040060019402016

Papers overview

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Highly Cited
2012
Highly Cited
2012
Inspired by biological communication systems, molecular communication has been proposed as a viable scheme to communicate between… (More)
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Highly Cited
2007
Highly Cited
2007
In this paper, the problem of communicating using chemical messages propagating using Brownian motion, rather than… (More)
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Highly Cited
2004
Highly Cited
2004
THE TERM “FRACTIONAL BROWNIAN MOTIONS” and the abbreviation FBMs will be used to denote a family of Gaussian random functions… (More)
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Highly Cited
2003
Highly Cited
2003
ABSTRACT. – For every value of the Hurst index H ∈ (0,1) we define a stochastic integral with respect to fractional Brownian… (More)
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Highly Cited
2000
Highly Cited
2000
This paper describes some of the results in [5] for a stochastic calculus for a fractional Brownian motion with the Hurst… (More)
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Highly Cited
2000
Highly Cited
2000
Let fB H (u)g u2R be a fractional Brownian motion (fBm) with index H 2 (0; 1) and sp(B H) be the closure in L 2 (() of the span… (More)
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Highly Cited
1999
Highly Cited
1999
Since the fractional Brownian motion is not a semi–martingale, the usual Ito calculus cannot be used to define a full stochastic… (More)
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Highly Cited
1997
Highly Cited
1997
Fractional Brownian motion has been suggested as a model for the movement of log share prices which would allow long-range… (More)
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Highly Cited
1995
Highly Cited
1995
We generalize the deenition of the fractional Brownian motion of exponent H to the case where H is no longer a constant, but a… (More)
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