有限维单纯形上双随机算子的动力学
动力系统
2018-11-06 v3
摘要
我们在有限维单纯形上定义双随机算子，并研究在该算子作用下轨迹的极限行为。我们证明，除某些点外，点在双随机算子作用下的轨迹趋于单纯形的中心。
引用
@article{arxiv.1211.5639,
title = {The dynamics of doubly stochastic operators on finite dimensional simplex},
author = {Farruh Shahidi and Rasul Ganikhodzhaev},
journal= {arXiv preprint arXiv:1211.5639},
year = {2018}
}
备注
This paper has been withdrawn by the author since the counter-example is contained in the book: A. Marshall, I. Olkin, B. Arnold, Inequaliies: Theory of Majorization and its applications, 2nd Ed. Springer,2011. Page 72 example I.5