The Asymptotic Distribution of The Pathwise Mean Squared Displacement in Single Particle Tracking Experiments

DOI10.1111/jtsa.12208zbMath1370.92039arXiv1507.06567OpenAlexW2963208895MaRDI QIDQ5346580

Gustavo Didier, Kui Zhang

Publication date: 26 May 2017

Published in: Journal of Time Series Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.06567

zbMATH Keywords

fractional Brownian motionviscoelastic fluidanomalous diffusionfractional Ornstein-Uhlenbeck processRosenblatt distributionmean squared displacementmicrorheology

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Fractional processes, including fractional Brownian motion (60G22) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31) Physiological flow (92C35)

Related Items (5)

The generalized Langevin equation in harmonic potentials: anomalous diffusion and equipartition of energy ⋮ The Asymptotic Distribution of The Pathwise Mean Squared Displacement in Single Particle Tracking Experiments ⋮ Asymptotic Analysis of the Mean Squared Displacement under Fractional Memory Kernels ⋮ Asymptotic theory for the detection of mixing in anomalous diffusion ⋮ Fluid heterogeneity detection based on the asymptotic distribution of the time-averaged mean squared displacement in single particle tracking experiments

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