Search

Your search keyword '"Pollicott, M."' showing total 1 results
Start Over Author "Pollicott, M." Topic asymptotic expansions
1 results on '"Pollicott, M."'

1. Rigorous Computation of Diffusion Coefficients for Expanding Maps.

Author

Jenkinson, O., Pollicott, M., and Vytnova, P.

Subjects
*DIFFUSION coefficients, *ERGODIC theory, *DYNAMICAL systems, *ASYMPTOTIC expansions, *REAL analysis (Mathematics)
Abstract

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 $$x\mapsto 2x +\frac{1}{2}x(1-x) \pmod 1 $$ . [ABSTRACT FROM AUTHOR]

Published
2018
Full Text
View/download PDF

Catalog

Books, media, physical & digital resources
See catalog results