无限模态映射的物理测度
动力系统
2010-08-30 v5
摘要
我们从测度论的观点分析某些具有无穷多个临界点的单参数一维映射族。我们证明此类族对于正 Lebesgue 测度的参数子集具有绝对连续不变概率测度。此外我们证明这些测度的密度及其熵随参数连续变化。另外我们获得了这些测度的指数混合率，并且它们满足中心极限定理。
引用
@article{arxiv.math/0411493,
title = {Physical measures for infinite-modal maps},
author = {Vitor Araujo and Maria Jose Pacifico},
journal= {arXiv preprint arXiv:math/0411493},
year = {2010}
}
备注
41 pages, 3 figures, some proofs completely rewritten. Keywords: SRB measures, absolutely continuous invariant measures, infinite-modal maps, statistical stability, sub-exponential decay of correlations, central limit theorem, continuous variation of entropy