# Geometric quadratic stochastic operator on countable infinite set

## Abstract

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.

- Authors:

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

- Publication Date:

- OSTI Identifier:
- 22390952

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: AIP Conference Proceedings; Journal Volume: 1643; Journal 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)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICAL METHODS AND COMPUTING; GEOMETRY; MATHEMATICAL OPERATORS; MATHEMATICAL SOLUTIONS; SPACE; STOCHASTIC PROCESSES; TRAJECTORIES; TRANSFORMATIONS

### Citation Formats

```
Ganikhodjaev, Nasir, and Hamzah, Nur Zatul Akmar.
```*Geometric quadratic stochastic operator on countable infinite set*. United States: N. p., 2015.
Web. doi:10.1063/1.4907516.

```
Ganikhodjaev, Nasir, & Hamzah, Nur Zatul Akmar.
```*Geometric quadratic stochastic operator on countable infinite set*. United States. doi:10.1063/1.4907516.

```
Ganikhodjaev, Nasir, and Hamzah, Nur Zatul Akmar. Tue .
"Geometric quadratic stochastic operator on countable infinite set". United States.
doi:10.1063/1.4907516.
```

```
@article{osti_22390952,
```

title = {Geometric quadratic stochastic operator on countable infinite set},

author = {Ganikhodjaev, Nasir and Hamzah, Nur Zatul Akmar},

abstractNote = {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.},

doi = {10.1063/1.4907516},

journal = {AIP Conference Proceedings},

number = 1,

volume = 1643,

place = {United States},

year = {Tue Feb 03 00:00:00 EST 2015},

month = {Tue Feb 03 00:00:00 EST 2015}

}

DOI: 10.1063/1.4907516

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