Main
Theme:
This workshop
will bring together
the three highly active, different field of anomalous dynamics, chaos
in complex systems, and search in biology: Anomalous dynamics refers to
processes that are more
complicated than standard Brownian motion. The latter term denotes a
simple concept from stochastic theory that is used to describe a big
variety of real world processes, most notably the irregular movement
of a tracer particle in a fluid. Anomalos dynamics exhibits highly
interesting, novel transport properties like non-Gaussian probability
distributions as featured by Levy flights and Levy walks,
non-ergodicity, power law decay of correlations, sub- and
superdiffusion. The stochastic theory of anomalous dynamics is highly
developed by now, providing a huge toolbox of methods that asks for
real world applications. Anomalous transport phenomena, in turn, were
found to be ubiquituous in complex
systems. Paradigmatic examples are search in biology including the
human world, such as
foraging of animals and optimizing target search in operations
research. However, anomalous transport also occurs in systems on nanoscales modeling novel
material like artificial graphene. In the latter type of systems
anomalous dynamics is intimately linked to the phenomenon of weak
chaos. But understanding the emergence of anomalous dynamics from
nonlinearities and deterministic chaos
is yet in its infancy. The theory of chaos in nonlinear dynamical
systems has in turn important applications to understand
spatio-temporal complexity as well as correlations and patterns in
signals and experimental data by applying nonlinear time series
analysis. Anomalous transport phenomena such as sub- and
superdiffusion, non-Gaussian probability distributions, aging and
dynamical localization form a rapidly growing research area within
nonequilibrium statistical physics. Understanding these processes
demands for establishing new cross-links between non-Markovian
microscopic correlations and unusual statistical properties on
macroscopic scales. This requires to combine methods from dynamical
systems theory, stochastic processes and disordered systems.
Keywords:
anomalous stochastic
processes, anomalous
diffusion,
non-ergodicity, target search, first passage, ageing, search
strategies, nonequilibrium fluctuations, swarintelligence and swarm
robotics; chaotic phenomena, nonlinear transport in nanosystems,
quantum chaos and diffusion, nonlinear time series analysis,
spatio-temporal correlations; movement ecology, foraging, gene
regulation,
molecular diffusion in cells, preditor-prey, operations research