Entropy via multiplicity
动力系统
2007-05-23 v3
摘要
The topological entropy of piecewise affine maps is studied. It is shown that singularities may contribute to the entropy only if there is angular expansion and we bound the entropy via the expansion rates of the map. As a corollary we deduce that non-expanding conformal piecewise affine maps have zero topological entropy. We estimate the entropy of piecewise affine skew-products. Examples of abnormal entropy growth are provided.
引用
@article{arxiv.math/0505019,
title = {Entropy via multiplicity},
author = {Boris Kruglikov and Martin Rypdal},
journal= {arXiv preprint arXiv:math/0505019},
year = {2007}
}
备注
Examples refined