Speaker
Hans Fogedby
(Aarhus University)
Description
Finite time singularities are encountered in stellar
structures, black holes, turbulent flow, bacterial growth,
Euler flow, free surface flows, rupture, earthquakes,
econophysics, DNA “breathing”, and neurophysics. We discuss
the influence of white noise on a generic dynamical
finite-time-singularity model for a single degree of
freedom. We find that the noise effectively resolves the
finite-time-singularity and replaces it by a
first-passage-time or absorbing state distribution with a
peak at the singularity and a long time tail exhibiting
power law or stretched exponential behavior.
