Speaker
Kay Brandner
(University of Nottingham)
Description
Dynamical memory induced by hidden degrees of freedom is ubiquitous in small-scale systems. While current efforts to systematically characterize this phenomenon focus almost exclusively on continuous-time settings, discrete-time models are emerging as powerful tools to understand the dynamics of coarse-grained systems, and to derive their effective evolution equations from first principles. To help bridge this gap, we develop a universal theory of discrete dynamics with weak memory. By establishing rigorous conditions for the existence and general methods for the construction of accurate time-local approximations, we provide a versatile framework for analyzing moderate memory effects without assuming a strong separation of time scales.