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physics.data-an2024★ 1 cited
Predictability Analysis and Prediction of Discrete Weather and Financial Time-Series Data with a Hamiltonian-Based Filter-Projection Approach
Henrik Kiefer, Denis Furtel, Cihan Ayaz +3
The generalized Langevin equation (GLE), derived by projection from a general many-body Hamiltonian, exactly describes the dynamics of an arbitrary coarse-grained variable in a com…
physics.data-an2024★ 17 cited
Accurate Memory Kernel Extraction from Discretized Time Series Data
Lucas Tepper, Benjamin Dalton, Roland R. Netz
Memory effects emerge as a fundamental consequence of dimensionality reduction when low-dimensional observables are used to describe the dynamics of complex many-body systems. In t…