Locally contractive iterated function systems
成果类型：
Article
署名作者：
Steinsaltz, D
署名单位：
University of California System; University of California Berkeley
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
DOI：
10.1214/aop/1022677556
发表日期：
1999
页码：
1952-1979
关键词：
摘要：
An iterated function system on X subset of Rd is defined by successively applying an i.i.d. sequence of random Lipschitz functions from X to X. This paper shows how F-n = f(1) circle...circle f(n) may converge even in the absence of the strong contraction conditions, for instance, Lipschitz constant smaller than 1 on average, which earlier work has required. Instead, it is posited that there be a region of contraction which compensates for the noncontractive or even expansive part of the functions. Applications to queues, to self-modifying random walks and to random logistic maps are given.