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扩张映射扩散系数的严格近似

动力系统 2016-04-13 v4

作者: Wael Bahsoun , Stefano Galatolo , Isaia Nisoli , Xiaolong Niu

在 arXiv 上查看 ↗ PDF ↗

摘要

我们利用 Ulam 方法对一致扩张映射的扩散系数提供严格近似。文中提供了一种算法，并使用 Lanford 映射说明了其实现过程。

关键词

扩散系数扩张映射 Ulam 方法严格近似 Lanford 映射一致扩张映射

引用

@article{arxiv.1409.6909,
  title  = {Rigorous approximation of diffusion coefficients for expanding maps},
  author = {Wael Bahsoun and Stefano Galatolo and Isaia Nisoli and Xiaolong Niu},
  journal= {arXiv preprint arXiv:1409.6909},
  year   = {2016}
}

备注

In this version Lanford's map has been used to illustrate the computer implementation of the algorithm. To appear in Journal of Statistical Physics