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math.DS2025
On Entropic Characterization of Symmetry Breaking in Dynamical Systems I: Spontaneous and Dynamical Symmetry Breaking
Subhrajit Sinha, Parvathi Kooloth
We propose a novel framework to analyze symmetry breaking in dynamical systems through the lens of entropy and information transfer. Information transfer quantifies the directional…
math.DS2025
Causal Discovery in Nonlinear Dynamical Systems using Koopman Operators
Adam Rupe, Derek DeSantis, Craig Bakker +2
We present a theory of causality in dynamical systems using Koopman operators. Our theory is grounded on a rigorous definition of causal mechanism in dynamical systems given in ter…