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Rigorous Approximation of Diffusion Coefficients for Expanding Maps.

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Title: Rigorous Approximation of Diffusion Coefficients for Expanding Maps.
Authors: Bahsoun, Wael1 W.Bahsoun@lboro.ac.uk, Galatolo, Stefano2, Nisoli, Isaia3, Niu, Xiaolong1
Source: Journal of Statistical Physics. Jun2016, Vol. 163 Issue 6, p1486-1503. 18p.
Subjects: Transfer operators, Central limit theorem, Diffusion coefficients, Algorithms, Mathematics theorems, Fourier transforms
Abstract: We use Ulam's method to provide rigorous approximation of diffusion coefficients for uniformly expanding maps. An algorithm is provided and its implementation is illustrated using Lanford's map. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Statistical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Statistical+Physics%22">Journal of Statistical Physics</searchLink>. Jun2016, Vol. 163 Issue 6, p1486-1503. 18p.
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  Data: <searchLink fieldCode="DE" term="%22Transfer+operators%22">Transfer operators</searchLink><br /><searchLink fieldCode="DE" term="%22Central+limit+theorem%22">Central limit theorem</searchLink><br /><searchLink fieldCode="DE" term="%22Diffusion+coefficients%22">Diffusion coefficients</searchLink><br /><searchLink fieldCode="DE" term="%22Algorithms%22">Algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics+theorems%22">Mathematics theorems</searchLink><br /><searchLink fieldCode="DE" term="%22Fourier+transforms%22">Fourier transforms</searchLink>
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  Data: We use Ulam's method to provide rigorous approximation of diffusion coefficients for uniformly expanding maps. An algorithm is provided and its implementation is illustrated using Lanford's map. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Journal of Statistical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1007/s10955-016-1523-y
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      – SubjectFull: Central limit theorem
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      – SubjectFull: Diffusion coefficients
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      – SubjectFull: Algorithms
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      – SubjectFull: Mathematics theorems
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      – SubjectFull: Fourier transforms
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              Text: Jun2016
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