THERMODYNAMIC FORMALISM FOR RANDOM TRANSFORMATIONS REVISITED

By Y. Kifer. 2008

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Annealed and quenched limit theorems for random expanding dynamical systems (2013, methodology): “Exponential decay of correlation in a quenched regime has been proved using Birkhoff cones technique in [10, 18, 48], while a quenched central limit theorem and a law of iterated logarithm are studied by Kifer [47], using a martingale approximation.”
Semigroup Actions of Expanding Maps (2016, methodology): “For future use, we briefly collect some of them, referring the reader to [2, 11, 12, 16, 25].”
A semi-invertible operator Oseledets theorem (2011, background): “Some progress has already been achieved in this direction in the settings of smooth expanding maps (see Baladi et al [4]), subshifts of finite type (see Kifer [31, 32]) and piecewise smooth expanding maps of the interval (see Buzzi [6]).”