Journal
NEW JOURNAL OF PHYSICS
Volume 21, Issue -, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1367-2630/ab13f3
Keywords
diffusion; anomalous diffusion; stochastic time series
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Funding
- Polish National Science Centre, HARMONIA 8 grant [UMO-2016/22/M/ST1/00233]
- Deutsche Forschungsgemeinschaft [ME1535/6-1, ME1535/7-1]
- Alexander von Humboldt Polish Honorary Research Scholarship from the Foundation for Polish Science (Fundacja na rzecz Nauki Polskiej)
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We show that the codifference is a useful tool in studying the ergodicity breaking and non-Gaussianity properties of stochastic time series. While the codifference is a measure of dependence that was previously studied mainly in the context of stable processes, we here extend its range of applicability to random-parameter and diffusing-diffusivity models which are important in contemporary physics, biology and financial engineering. We prove that the codifference detects forms of dependence and ergodicity breaking which are not visible from analysing the covariance and correlation functions. We also discuss a related measure of dispersion, which is a nonlinear analogue of the mean squared displacement.
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