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On the differentiability of central Cantor sets

Abstract

In this article for each r {>=} 1 we provide a class of C{sup r} central Cantor sets whose self-arithmetic difference is a Cantor set of positive Lebesgue measure. When r {>=} 2 these sets are dynamically defined. (author). 10 refs, 7 figs.
Authors:
Publication Date:
Sep 01, 1992
Product Type:
Technical Report
Report Number:
IC-92/263
Reference Number:
SCA: 661300; PA: AIX-24:008140; SN: 93000932880
Resource Relation:
Other Information: PBD: Sep 1992
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; MEASURE THEORY; TOPOLOGICAL MAPPING; 661300; OTHER ASPECTS OF PHYSICAL SCIENCE
OSTI ID:
10119461
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE93613021; TRN: XA9233075008140
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
[16] p.
Announcement Date:
Jun 30, 2005

Citation Formats

Plaza, S, and Vera, J. On the differentiability of central Cantor sets. IAEA: N. p., 1992. Web.
Plaza, S, & Vera, J. On the differentiability of central Cantor sets. IAEA.
Plaza, S, and Vera, J. 1992. "On the differentiability of central Cantor sets." IAEA.
@misc{etde_10119461,
title = {On the differentiability of central Cantor sets}
author = {Plaza, S, and Vera, J}
abstractNote = {In this article for each r {>=} 1 we provide a class of C{sup r} central Cantor sets whose self-arithmetic difference is a Cantor set of positive Lebesgue measure. When r {>=} 2 these sets are dynamically defined. (author). 10 refs, 7 figs.}
place = {IAEA}
year = {1992}
month = {Sep}
}