eprintid: 20311
rev_number: 3
eprint_status: archive
userid: 1
dir: disk0/00/02/03/11
datestamp: 2025-11-03 08:49:34
lastmod: 2025-11-03 08:49:34
status_changed: 2025-11-03 08:49:34
type: conference_item
metadata_visibility: show
creators_name: Karim, Siti Nurlaili
creators_name: Hamzah, Nur Zatul Akmar
creators_name: Fauzi, Nurfarhana Nisa Muhammad
creators_name: Ganikhodjaev, Nasir
title: New Class of 2-Partition Poisson Quadratic Stochastic Operators on Countable State Space
ispublished: pub
keywords: Dynamical systems; Probability; Stochastic systems; 20th century; Countable state space; Fixed points; Limit behavior; Population genetics; Probability theory; Two-point; Astronomy
note: Cited by: 3; All Open Access, Gold Open Access
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
publisher: IOP Publishing Ltd
official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85114210035&doi=10.1088%2f1742-6596%2f1988%2f1%2f012080&partnerID=40&md5=f1b8c74029db51269b2c1426e9c5dd2d
id_number: 10.1088/1742-6596/1988/1/012080
full_text_status: none
publication: Journal of Physics: Conference Series
volume: 1988
number: 1
refereed: TRUE
issn: 17426588
citation:   Karim, Siti Nurlaili and Hamzah, Nur Zatul Akmar and Fauzi, Nurfarhana Nisa Muhammad and Ganikhodjaev, Nasir  (2021) New Class of 2-Partition Poisson Quadratic Stochastic Operators on Countable State Space.  In: UNSPECIFIED.