Fixed Points of Quadratic Operators Defined on a Three-Dimensional Simplex of Idempotent Measures

In this paper, the set of all fixed points of each quadratic operator, which maps the three-dimensional simplex of idempotent measures to itself, is considered. The th element of is determined by the aid of all elements of th matrix of the cubic matrix . All quadratic operators, which map the -dimen...

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Veröffentlicht in:Lobachevskii journal of mathematics 2022-03, Vol.43 (3), p.762-769
1. Verfasser: Juraev, I. T.
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, the set of all fixed points of each quadratic operator, which maps the three-dimensional simplex of idempotent measures to itself, is considered. The th element of is determined by the aid of all elements of th matrix of the cubic matrix . All quadratic operators, which map the -dimensional simplex of idempotent measures to itself, is classified. The set of all fixed points of each quadratic operator, which maps the three-dimensional simplex of idempotent measures to itself, is described.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080222060130