On the number of cycles of p-adic dynamical systems

被引：33

作者：

Khrennikov, A ^{[1
]}

Nilsson, M ^{[1
]}

机构：

[1] Vaxjo Univ, Sch Math & Syst Engn, SE-35195 Vaxjo, Sweden

来源：

JOURNAL OF NUMBER THEORY | 2001年 / 90卷 / 02期

关键词：

p-adic numbers; iterations of monomial functions; number of cycles; distribution of prime numbers;

D O I：

10.1006/jnth.2001.2665

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We found the asymptotics, p --> alpha, for the number of cycles for iteration of monomial functions in the fields of p-adic numbers. This asymptotics is closely connected with classical results on the distribution of prime numbers. (C) 2001 Academic Press.

引用

页码：255 / 264

页数：10

共 50 条

[1] Distribution of cycles of monomial p-adic dynamical systems
Nilsson, M
P-ADIC FUNCTIONAL ANALYSIS, PROCEEDINGS, 2001, 222 : 233 - 242
[2] ON DYNAMICAL SYSTEMS INDUCED BY p-ADIC NUMBER FIELDS
Cho, Ilwoo
OPUSCULA MATHEMATICA, 2015, 35 (04) : 445 - 484
[3] P-ADIC DYNAMICAL-SYSTEMS
FREUND, PGO
OLSON, M
NUCLEAR PHYSICS B, 1988, 297 (01) : 86 - 102
[4] On heights of p-adic dynamical systems
Li, HC
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 130 (02) : 379 - 386
[5] P-adic dynamical systems and neural networks
Albeverio, S
Khrennikov, A
Tirozzi, B
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 1999, 9 (09): : 1417 - 1437
[6] On a class of rational p-adic dynamical systems
Khamraev, M
Mukhamedov, F
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 315 (01) : 76 - 89
[7] Qualitative theory of p-adic dynamical systems
Zelenov, E. I.
THEORETICAL AND MATHEMATICAL PHYSICS, 2014, 178 (02) : 194 - 201
[8] On ergodic behavior of p-adic dynamical systems
Gundlach, M
Khrennikov, A
Lindahl, KO
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 2001, 4 (04) : 569 - 577
[9] The asymptotic number of periodic points of discrete polynomial p-adic dynamical systems
Khrennikov, A
Nilsson, M
Nyqvist, R
ULTRAMETRIC FUNCTIONAL ANALYSIS, 2003, 319 : 159 - 166
[10] Dynamical systems in unramified or totally ramified extensions of the p-adic number field
Svensson, PA
ULTRAMETRIC FUNCTIONAL ANALYSIS, 2003, 319 : 405 - 412

← 1 2 3 4 5 →