Decay of Correlations for Fibonacci Unimodal Interval Maps  

作　　者：Rui GAO Wei Xiao SHEN 

机构地区：[1]College of Mathematics, Sichuan University [2]Shanghai Center for Mathematical Sciences, Fudan University

出　　处：《Acta Mathematica Sinica,English Series》2018年第1期114-138,共25页数学学报（英文版）

基　　金：supported by AcRF-Tier 1 grant from MOE,Singapore(Grant No.R-146-000-199-112)

摘　　要：We consider a class of generalized Fibonacci unimodal maps for which the central return times {Sn} satisfy that sn= sn-1 ＋ ksh-2 for some k≥ 1. We show that such a unimodal map admits a unique absolutely continuous invariant probability with exactly stretched exponential decay of correlations if its critical order lies in （1, k ＋ 1）.We consider a class of generalized Fibonacci unimodal maps for which the central return times {Sn} satisfy that sn= sn-1 ＋ ksh-2 for some k≥ 1. We show that such a unimodal map admits a unique absolutely continuous invariant probability with exactly stretched exponential decay of correlations if its critical order lies in （1, k ＋ 1）.

关 键 词：Absolutely continuous invariant probability decay of correlations unimodal maps Fi-bonacci combinatorics 

分 类 号：O1[理学—数学]