ITERATIONS OF RANDOM AND DETERMINISTIC FUNCTIONS

被引：0

作者：

ATHREYA, KB ^{[1
]}

机构：

[1] IOWA STATE UNIV SCI & TECHNOL,DEPT MATH,AMES,IA 50010

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 1994年 / 104卷 / 01期

关键词：

RANDOM MAPS; GENERATING FUNCTIONS; ITERATION; STABLE PROCESSES; AUTO REGRESSIVE PROCESSES;

D O I：

10.1007/BF02830890

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let f be a probability generating function on [0, 1]. The convergence of its iterates f(n) to fixed points is studied in this paper. Results include rates for f and f-1. Also iterates of independent identically distributed stable processes are studied and a trichotomy based on the order of the stability is established.

引用

页码：263 / 267

页数：5

共 50 条

[1] RANDOM ITERATIONS OF RATIONAL FUNCTIONS
FORNAESS, JE
SIBONY, N
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 1991, 11 : 687 - 708
[2] Ergodic properties of random iterations of analytic functions
Ambroladze, A
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 1999, 19 : 1379 - 1388
[3] Uniqueness of invariant measures for place-dependent random iterations of functions
Stenflo, Ö
FRACTALS IN MULTIMEDIA, 2002, 132 : 13 - 32
[4] RANDOM ITERATIONS AND KALMAN FILTERING
VIANO, MC
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1987, 305 (19): : 831 - 834
[5] RANDOM ITERATIONS AND KALMAN FILTERING
VIANO, MC
THEORY OF PROBABILITY AND ITS APPLICATIONS, 1990, 35 (04) : 737 - 745
[6] ITERATIONS OF ENTIRE-FUNCTIONS
EREMENKO, AE
LIUBICH, MI
DOKLADY AKADEMII NAUK SSSR, 1984, 279 (01): : 25 - 27
[7] On the Iterations of Entire Algebroid Functions
乔建永
任福尧
ScienceinChina,SerA., 1994, Ser.A.1994 (04) : 422 - 431
[8] ON THE ITERATIONS OF ENTIRE ALGEBROID FUNCTIONS
QIAO, JY
REN, FY
SCIENCE IN CHINA SERIES A-MATHEMATICS, 1994, 37 (04): : 422 - 431
[9] ITERATIONS OF GENERALIZED EULER FUNCTIONS
WHITE, GK
PACIFIC JOURNAL OF MATHEMATICS, 1962, 12 (02) : 777 - &
[10] On the Iterations of Entire Algebroid Functions
乔建永
任福尧
Science China Mathematics, 1994, (04) : 422 - 431

← 1 2 3 4 5 →