Titlebook: Classical Nonintegrability, Quantum Chaos; Andreas Knauf,Yakov G. Sinai,Viviane Baladi Book 1997 Springer Basel AG 1997 Finite.Invariant.a

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https://doi.org/10.1007/978-3-030-98464-9We shall begin with some purely probabilistic statements. Consider the phase space of a symbolic Markov chain .. More precisely, let M. be the space of sequences ω = …, ω-.,…, ω., ω.,…, ω.,…} where each symbol ω. takes one of . values i.e. ω. ∈ {l,ω,.}.

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Introduction,Our DMV Seminar on ‘Classical Nonintegrability, Quantum Chaos’ intended to introduce students and beginning researchers to the techniques applied in nonintegrable classical and quantum dynamics.

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A Brief Introduction to Dynamical Zeta Functions,We shall take the point of view that dynamical zeta functions are useful objects to describe the spectrum of transfer operators. To define a ., we use two ingredients:

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Quantum Chaos,Quantum chaos is defined to be the quantum mechanics for a classically chaoticor, to be definite, ergodic — motion.

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