Dresden 2017 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 46: Modelling and Data Analysis

DY 46.2: Vortrag

Donnerstag, 23. März 2017, 15:15–15:30, HÜL 186

A deeper look at time averages in the study of heart rate variability — •Mozhdeh Massah and Holger Kantz — Max Planck Institute for the Physics of Complex Systems, Dresden, Germany

The fluctuations of human heartbeat of healthy patients, in the sense of convergence of finite sample time averages to a well-defined mean value, are analytically and theoretically studied. The approach for this investigation lies in the theory called large deviations theory, which in it's classical version claims that the large deviations of the identically independently distributed data get suppressed exponentially. It is here shown that long range correlations lead to sub-exponential decay of these deviations. In the case of heart rate variability , data resembles a non-stationary Gaussian process; and hence no convergence at all is found, leading to the conspicuous result of ergodicity breaking.