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FidlTrack: high-fidelity structure-aware single particle tracking resolves intracellular molecular motion in organelles sensing APP processing. [PDF]

open access: yesNat Commun
Parutto P   +12 more
europepmc   +1 more source
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Piecewise fractional Brownian motion

IEEE Transactions on Signal Processing, 2005
Starting from fractional Brownian motion (fBm) of unique parameter H, a piecewise fractional Brownian motion (pfBm) of parameters Hi, Ho and gamma is defined. This new process has two spectral regimes: It behaves like an fBm of parameter Ho for low frequencies and like an fBm of parameter Hi for high frequencies .When Ho = Hi, or for limit cases, pfBm ...
Perrin, Emmanuel   +3 more
openaire   +3 more sources

Trading Fractional Brownian Motion

SIAM Journal on Financial Mathematics, 2017
The authors consider a market with an asset price described by fractional Brownian motion, which can be traded with temporary nonlinear price impact. The asymptotically optimal strategies for the maximization of expected terminal wealth are obtained.
Guasoni P, Nika Z, Rasonyi M
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