Results 11 to 20 of about 1,696,206 (346)
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
doaj +3 more sources
This paper seeks to study standard Brownian motion and some of its properties. We construct this stochastic process and demonstrate a few properties including continuity and non-differentiability.
Christopher Bergevin+1 more
semanticscholar +3 more sources
We consider processes which have the distribution of standard Brownian motion (in the forward direction of time) starting from random points on the trajectory which accumulate at $-\infty$.
Burdzy, Krzysztof, Scheutzow, Michael
core +5 more sources
Brownian motion reflected on Brownian motion [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Burdzy, Krzysztof, Nualart, David
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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-
Marago' O M+11 more
openaire +6 more sources
Brownian motion in a Brownian crack [PDF]
Let \(Y^\varepsilon(t)\) be the reflected two-dimensional Brownian motion in Wiener sausage \(D^\varepsilon\) of width \(\varepsilon>0\) around two-sided Brownian motion \(X_1(t)\).
Burdzy, Krzysztof, Khoshnevisan, Davar
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14 pages, 4 figures, to appear in Physical Review ...
Kartashov, Yaroslav V.+2 more
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Limiting Behaviors for Brownian Motion Reflected on Brownian Motion [PDF]
The authors study a law of iterated logarithm associated to a Brownian motion reflected to another independent Brownian motion.
Chen, X., Li, Wenbo
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Granular Brownian motion [PDF]
19 pages, 4 figures, in press on Journal of Statistical Mechanics: Theory and ...
A Sarracino+3 more
openaire +7 more sources