Speaker: Gleb Oshanin (Sorbonne Université / CNRS, Paris).
Abstract: In this presentation I will overview a recent progress in the theoretical, numerical and experimental analyses of spectral densities of individual random trajectories of a finite length. On example of a broad class of anomalous diffusions - the so-called fractional Brownian motion, I will demonstrate that one may calculate analytically the full probability density function of such random functionals, parametrised by a frequency and a finite observation time, and extract a very meaningful information on the evolution of a process under study. In particular, I will show that the large frequency behaviour of the coefficient of variation of this distribution provides a robust criterion of anomalous diffusion, which analytical prediction is validated by a comparison with experiments on dynamics in live cells and in agarose hydrogels, and also by extensive numerical simulations. If time permits, I will also discuss the peculiarities of spectra in out-of-equilibrium systems, as exemplified by a Brownian Gyrator model, and also of the so-called active Brownian motion.
Topic: CFTC weekly seminar
Time: Dec 10, 2020 10:00 AM Lisbon
Join from PC, Mac, Linux, iOS or Android: https://videoconf-colibri.zoom.us/j/81744277890
Or iPhone one-tap: 211202618,81744277890# or 308804188,81744277890#
Or Telephone:
Dial: +351 211 202 618 (Portugal Toll) or +351 308 804 188 (Portugal Toll)
Meeting ID: 817 4427 7890
International numbers available: https://videoconf-colibri.zoom.us/u/kIFHJUYi
Or a H.323/SIP room system:
H.323: 162.255.37.11 (US West) or 162.255.36.11 (US East)
Meeting ID: 817 4427 7890
