An elementary way to rigorously estimate convergence to equilibrium and escape rates | Zendy

Stefano Galatolo | Zendy; Isaia Nisoli | Zendy; Benoît Saussol | Zendy

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An elementary way to rigorously estimate convergence to equilibrium and escape rates

Author(s) -

Stefano Galatolo,

Isaia Nisoli,

Benoît Saussol

Publication year - 2015

Publication title -

journal of computational dynamics

Language(s) - English

Resource type - Journals

eISSN - 2158-2505

pISSN - 2158-2491

DOI - 10.3934/jcd.2015.2.51

Subject(s) - convergence (economics) , transfer operator , mathematics , operator (biology) , transfer (computing) , rate of convergence , elementary proof , inequality , mathematical analysis , pure mathematics , computer science , economics , computer network , biochemistry , chemistry , channel (broadcasting) , repressor , parallel computing , transcription factor , gene , economic growth

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

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