JCD
An elementary way to rigorously estimate convergence to equilibrium and escape rates
Stefano Galatolo Isaia Nisoli Benoît Saussol
We show an elementary method to obtain (finite time and asymptotic) computer assisted explicit upper bounds on convergence to equilibrium (decay of correlations) and escape rates for systems satisfying a Lasota Yorke inequality. The bounds are deduced from the ones of suitable approximations of the system's transfer operator. We also present some rigorous experiments on some nontrivial example.
keywords: interval arithmetics Ulam method. Rigorous computation decay of correlation convergence to equilibrium

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