RUS  ENG
Full version
JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive
Sib. Èlektron. Mat. Izv., 2015 Volume 12, Pages 967–972 (Mi semr646)
This article is cited in 1 paper

Geometry and topology

On weak separation property for affine fractal functions

A. V. Tetenovab, A. K. B. Chandc

a Novosibirsk State University
b Gorno-Altaisk State University
c IIT Madras, Chennai, India

Abstract: We show that a fractal affine function $f(x)$ defined by a system $\mathcal{S}$ which does not satisfy weak separation property is a quadratic function.

Keywords: self-similar set, fractal, weak separation property, affine FIF.

UDC: 514.8, 515.12

MSC: 28A80

Received December 13, 2015, published December 14, 2015

Language: English

DOI: 10.17377/semi.2015.12.083


© Steklov Math. Inst. of RAS, 2025