Dresden 2026 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 21: Stochastic Thermodynamics

DY 21.4: Talk

Tuesday, March 10, 2026, 10:15–10:30, ZEU/0114

Asymptotic limit laws of projected empirical currents — •Felix Tippner and Aljaz Godec — Mathematical Physics and Stochastic Dynamics, Institute of Physics, University of Freiburg (GER)

Most experimental measurements capture only a restricted subset of a system's degrees of freedom at any given time. As a result, the higher-dimensional stochastic process that describes the full physical system, such as the high-dimensional conformational dynamics of proteins, can typically be observed only in terms of low-dimensional projections, which are also subject to experimental and sampling constraints. These projections inevitably give rise to non-Markovian behaviour and typically obscure key features of the underlying dynamics, including irreversible probability currents that distinguish driven from reversible systems. The main result of the present work is an asymptotic limit law, i.e., a sharpening of the central limit theorem, for empirical currents of projected observables.

Keywords: Stochastic Processes; Non-Markovian; Projections; Central Limit Theorem