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

页码：553 / 562

页数：10

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