title: Probability distribution of the time-averaged mean-square displacement of a Gaussian process.
abstract: We study the probability distribution of the time-averaged mean-square displacement of a discrete Gaussian process. An empirical approximation for the probability density is suggested and numerically validated for fractional Brownian motion. The optimality of quadratic forms for inferring dynamical and microrheological quantities from individual random trajectories is discussed, with emphasis on a reliable interpretation of single-particle tracking experiments.
authors: Laboratoire de Physique de la Matière Condensée (UMR 7643), CNRS, Ecole Polytechnique, F-91128 Palaiseau, France. denis.grebenkov@polytechnique.edu
authors: Denis S
authors: DS
authors: Grebenkov
mesh_terms: D003198:Computer Simulation; D004058:Diffusion; D008956:Models, Chemical; D016011:Normal Distribution