Journal
JOURNAL OF STATISTICAL PHYSICS
Volume 170, Issue 2, Pages 221-253Publisher
SPRINGER
DOI: 10.1007/s10955-017-1930-8
Keywords
Diffusion coefficient; Expanding map; Ergodic theory; Dynamical Systems
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Funding
- EPSRC [EP/M001903/1, EP/L02246X/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/K000799/1, EP/L02246X/1, EP/M001903/1] Funding Source: researchfish
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For real analytic expanding interval maps, a novel method is given for rigorously approximating the diffusion coefficient of real analytic observables. As a theoretical algorithm, our approximation scheme is shown to give quadratic exponential convergence to the diffusion coefficient. The method for converting this rapid convergence into explicit high precision rigorous bounds is illustrated in the setting of Lanford's map (mod 1).
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