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This article is cited in 1 scientific paper (total 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.
Received December 13, 2015, published December 14, 2015
Citation:
A. V. Tetenov, A. K. B. Chand, “On weak separation property for affine fractal functions”, Sib. Èlektron. Mat. Izv., 12 (2015), 967–972
Linking options:
https://www.mathnet.ru/eng/semr646 https://www.mathnet.ru/eng/semr/v12/p967
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