Entropy,Large Deviations,and Statistical Mechanics

By A. Si. 2011

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Nonequilibrium Markov Processes Conditioned on Large Deviations (2014, methodology): “The rate function I can be obtained from this function by using the Gärtner-Ellis Theorem [21, 98, 99], which states (in its simplest form) that, if Λk is differentiable, then AT satisfies the LDP with rate function I given by the Legendre-Fenchel transform of Λk: I(a) = sup k {ka− Λk}.”
Annealed and quenched limit theorems for random expanding dynamical systems (2013, methodology): “For this, we will show the convergence of 1 n logE P̃⊗ν(e n) for small enough θ ∈ R and then apply Gartner-Ellis theorem [26, 29].”