On the ergodic principle for Markov and quadratic stochastic processes and its relations

Nasir Ganikhodjaev; Hasan Akin; Farrukh Mukhamedov

doi:10.1016/j.laa.2005.12.032

On the ergodic principle for Markov and quadratic stochastic processes and its relations

Nasir Ganikhodjaev
, Hasan Akin
, Farrukh Mukhamedov

Research output: Contribution to journal › Article › peer-review

25 Citations (Scopus)

Abstract

In the paper we prove that a quadratic stochastic process satisfies the ergodic principle if and only if the associated Markov process satisfies one.

Original language	English
Pages (from-to)	730-741
Number of pages	12
Journal	Linear Algebra and Its Applications
Volume	416
Issue number	2-3
DOIs	https://doi.org/10.1016/j.laa.2005.12.032
Publication status	Published - Jul 15 2006
Externally published	Yes

Keywords

Ergodic principle
Markov processes
Quadratic stochastic processes

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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10.1016/j.laa.2005.12.032

Cite this

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title = "On the ergodic principle for Markov and quadratic stochastic processes and its relations",

abstract = "In the paper we prove that a quadratic stochastic process satisfies the ergodic principle if and only if the associated Markov process satisfies one.",

keywords = "Ergodic principle, Markov processes, Quadratic stochastic processes",

author = "Nasir Ganikhodjaev and Hasan Akin and Farrukh Mukhamedov",

note = "Funding Information: The third named author (F.M.) thanks NATO-TUBITAK for providing financial support and Harran University for kind hospitality and providing all facilities. The work is also partially supported by Grants -1.1.2, -2.1.56 of the Republic of Uzbekistan.",

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AU - Ganikhodjaev, Nasir

AU - Akin, Hasan

AU - Mukhamedov, Farrukh

N1 - Funding Information: The third named author (F.M.) thanks NATO-TUBITAK for providing financial support and Harran University for kind hospitality and providing all facilities. The work is also partially supported by Grants -1.1.2, -2.1.56 of the Republic of Uzbekistan.

PY - 2006/7/15

Y1 - 2006/7/15

N2 - In the paper we prove that a quadratic stochastic process satisfies the ergodic principle if and only if the associated Markov process satisfies one.

AB - In the paper we prove that a quadratic stochastic process satisfies the ergodic principle if and only if the associated Markov process satisfies one.

KW - Ergodic principle

KW - Markov processes

KW - Quadratic stochastic processes

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UR - https://www.scopus.com/pages/publications/33646937773#tab=citedBy

U2 - 10.1016/j.laa.2005.12.032

DO - 10.1016/j.laa.2005.12.032

M3 - Article

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JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 2-3

ER -

On the ergodic principle for Markov and quadratic stochastic processes and its relations

Abstract

Keywords

ASJC Scopus subject areas

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