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.
This is followed by a quasi-analytic continuation that pushes the result beyond the conver- gence radius for the original expansion, which we intro- 13 duce here
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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.