Workshop aim:

This workshop brings together theoretical physicists and mathematicians working on dynamical systems and stochastic processes. An emphasis is on the recent active fields of random dynamical systems and anomalous stochastic dynamics. The former refers to chaotic dynamical systems that are coupled to noise. This combination can create novel phenomena such as anomalous diffusion, stochastic bifurcations, and varieties of noise-induced phenomena. To describe them requires a new mathematical language defining objects such as random attractors, perturbed invariant measures, bifurcations, and rare event statistics. Anomalous dynamics denotes processes whose mean square displacement, unlike that of Brownian motion, grows non-linearly in time. They exhibit non-trivial properties related to non-Gaussian probability distributions, such as power-law decay of correlations, sub- or super-diffusion and ergodicity breaking. However, the emergence of such phenomena from deterministic dynamics is poorly understood. By bridging the gap between the dynamical systems and applied stochastic processes communities we aim to advance this understanding.