Dynamical observables in chaotic systems share the same large deviation rate function when their g functions differ by a 'derived' function, making derived observables have N-independent symmetric distributions.
Touchette, Legendre–fenchel transforms in a nutshell, Lecture notes (2014), started July 11, 2005; last compiled October 16
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Remarkable similarities in distributions of dynamical observables in chaotic systems
Dynamical observables in chaotic systems share the same large deviation rate function when their g functions differ by a 'derived' function, making derived observables have N-independent symmetric distributions.