Geometric quadratic stochastic operator on countable infinite set

Journal Article · Tue Feb 03 00:00:00 EST 2015 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4907516· OSTI ID:22390952

Ganikhodjaev, Nasir; Hamzah, Nur Zatul Akmar ^[1]

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1. Department of Computational and Theoretical Sciences, Kulliyyah of Science, International Islamic University, Jalan Sultan Ahmad Shah, Bandar InderaMahkota, 25200 Kuantan, Pahang (Malaysia)

In this paper we construct the family of Geometric quadratic stochastic operators defined on the countable sample space of nonnegative integers and investigate their trajectory behavior. Such operators can be reinterpreted in terms of of evolutionary operator of free population. We show that Geometric quadratic stochastic operators are regular transformations.

• OSTI ID: 22390952
• Journal Information: AIP Conference Proceedings, Vol. 1643, Issue 1; Conference: 2. ISM International Statistical Conference 2014: Empowering the Applications of Statistical and Mathematical Sciences, Pahang (Malaysia), 12-14 Aug 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
97 MATHEMATICAL METHODS AND COMPUTING
GEOMETRY
MATHEMATICAL OPERATORS
MATHEMATICAL SOLUTIONS
SPACE
STOCHASTIC PROCESSES
TRAJECTORIES
TRANSFORMATIONS