Time evolution of large, complicated systems in Statistical Physics is
best described by probabilistic models. However, these models don't
"explain" the physical phenomena in the sense that they are seemingly in
contradiction with the fully deterministic laws of Physics that work so
well in describing microscopic motion.
The science of Dynamical Systems in Mathematical Statistical Physics tries
to bridge that gap. In the talk I will present a few simple models where
random behavior of an actually deterministic system can be shown in a
strict mathematical sense.