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We state and prove a generalized adiabatic theorem for Markov chains and provide examples and applications related to Glauber dynamics of the Ising model over ℤd/nℤd. The theorems derived in this paper describe a type of adiabatic dynamics for $\ell^{1}(\mathbb{R}^{n}_{+})$ norm preserving, time inhomogeneous Markov transformations, while quantum...
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