Matrices over a~semiring of binary relations and $V$-variable fractals
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2011), pp. 75-79
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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
Mots-clés : $V$-variable fractal.
Mots-clés : $V$-variable fractal.
@article{IVM_2011_5_a9,
author = {D. S. Biserov and K. B. Igudesman},
title = {Matrices over a~semiring of binary relations and $V$-variable fractals},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {75--79},
publisher = {mathdoc},
number = {5},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2011_5_a9/}
}
TY - JOUR AU - D. S. Biserov AU - K. B. Igudesman TI - Matrices over a~semiring of binary relations and $V$-variable fractals JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2011 SP - 75 EP - 79 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IVM_2011_5_a9/ LA - ru ID - IVM_2011_5_a9 ER -
D. S. Biserov; K. B. Igudesman. Matrices over a~semiring of binary relations and $V$-variable fractals. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2011), pp. 75-79. http://geodesic.mathdoc.fr/item/IVM_2011_5_a9/