Scale relativity theory for one-dimensional non-differentiable manifolds

被引：17
作者：
Cresson, J
机构：
[1] Equipe de Mathématiques de Besançon, CNRS-UMR 6623, Université de Franche-Comté, 25030 Besançon Cedex
来源：
CHAOS SOLITONS & FRACTALS | 2002年 / 14卷 / 04期
关键词：
D O I：
10.1016/S0960-0779(01)00221-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We discuss a rigorous foundation of the pure scale relativity theory for a one-dimensional space variable. We define several notions as "representation" of a continuous function, scale law and minimal resolution. We define precisely the meaning of a scale reference system and space reference system for non-differentiable one-dimensional manifolds. (C) 2002 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：553 / 562
页数：10
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