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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 5, Pages 75–79
(Mi ivm7306)
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This article is cited in 2 scientific papers (total in 2 papers)
Brief communications
Matrices over a semiring of binary relations and $V$-variable fractals
D. S. Biserov, K. B. Igudesman Chair of Geometry, Kazan (Volga region) Federal University, Kazan, Russia
Abstract:
In this paper we prove that $V$-variable fractal sets are limits of infinite products of matrices over the semiring of binary relations on a compact metric space.
Keywords:
binary relations, matrices over a semiring, iterated function systems, attractor, $V$-variable fractal.
Citation:
D. S. Biserov, K. B. Igudesman, “Matrices over a semiring of binary relations and $V$-variable fractals”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 5, 75–79; Russian Math. (Iz. VUZ), 55:5 (2011), 63–66
Linking options:
https://www.mathnet.ru/eng/ivm7306 https://www.mathnet.ru/eng/ivm/y2011/i5/p75
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