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primary topic: New Class of 2-Partition Poisson Quadratic Stochastic Operators on Countable State Space

New Class of 2-Partition Poisson Quadratic Stochastic Operators on Countable State Space
type: AcademicArticle
type: Article
abstract: The idea of quadratic stochastic operator (QSO) which was originally introduced by Bernstein in the early 20th century through his work on population genetics has been significantly developed for decades to describe dynamical systems in many areas. In this research we construct the dynamical systems generated by a new class of 2-partition of Poisson QSO defined on countable state space, X = 0,1,2,.... Our main goal is to investigate the trajectory behavior of such operators by reducing its infinite variables into a one-dimensional setting that correspond to the number of defined partitions. We present some cases of 2-measurable partition with singleton and two points of two different parameters. Measure and probability theory alongside the functional analysis will be applied to investigate the limit behavior and characteristics of fixed points. These results suggest that the QSO generated by a 2-measurable partition defined on countable state space for both singleton and two points of two different parameters is a regular transformation for some values of parameters. © Published under licence by IOP Publishing Ltd.
date: 2021
volume: 1988
issue: 1
is part of: Journal of Physics: Conference Series
status: peerReviewed
status: published
author list: authors
type: EPrint
type: ConferenceItemEPrint
is part of: repository

IOP Publishing Ltd
type: Organization

Journal of Physics: Conference Series
type: Collection
issn: 17426588

Nurfarhana Nisa Muhammad Fauzi
type: Person
given name: Nurfarhana Nisa Muhammad
family name: Fauzi

Nur Zatul Akmar Hamzah
type: Person
given name: Nur Zatul Akmar
family name: Hamzah

Siti Nurlaili Karim
type: Person
given name: Siti Nurlaili
family name: Karim

Nasir Ganikhodjaev
type: Person
given name: Nasir
family name: Ganikhodjaev

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primary topic: New Class of 2-Partition Poisson Quadratic Stochastic Operators on Countable State Space