D. S. Biserov, K. B. Igudesman, “Matrices over a semiring of binary relations and <nobr>$V$</nobr>-variable fractals”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, Number 5,Pages <nobr>75

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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.

UDC: 517.538

Presented by the member of Editorial Board: V. V. Shurygin
Received: 15.12.2010