Stochastic Systems with Time Delay - Probabilistic and Thermodynamic Descriptions of non-Markovian Processes far From Equilibrium

The nonequilibrium behavior of nanoscopic and biological systems, which are typically strongly fluctuating, is a major focus of current research. However, new theoretical challenges emerge when the fluctuating system is additionally subject to time delay, e.g. by introducing a versatile approximation scheme for nonlinear delay systems.