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Chapter 2. Nonlinearly Perturbed Markov Chains and Information Networks
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. Department of Mathematics, School of Physical Sciences, Makerere University, Kampala, Uganda. (MAM)
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. Department of Mathematics, College of Natural and Applied Sciences, University of Dar es Salaam,Tanzania. (MAM)ORCID iD: 0000-0001-7822-2103
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0003-4554-6528
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. Stockholm University, Sweden. (MAM)ORCID iD: 0000-0002-2626-5598
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2021 (English)In: Applied Modeling Techniques and Data Analysis 1: Computational Data Analysis Methods and Tools / [ed] Yannis Dimotikalis, Alex Karagrigoriou, Christina Parpoula, Christos H. Skiadas, Hoboken, NJ: John Wiley & Sons, 2021, p. 23-55Chapter in book (Refereed)
Abstract [en]

This chapter is devoted to studies of perturbed Markov chains, commonly used for the description of information networks. In such models, the matrix of transition probabilities for the corresponding Markov chain is usually regularized by adding aspecial damping matrix, multiplied by a small damping (perturbation) parameter ε. In this chapter, we present the results of detailed perturbation analysis of Markov chains with damping component and numerical experiments supporting and illustrating the results of this perturbation analysis.

Place, publisher, year, edition, pages
Hoboken, NJ: John Wiley & Sons, 2021. p. 23-55
Series
Big Data, Artificial Intelligence and Data Analysis Set coordinated by Jacques Janssen ; 7
National Category
Probability Theory and Statistics
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-56067DOI: 10.1002/9781119821588.ch2Scopus ID: 2-s2.0-85148063514ISBN: 978-1-786-30673-9 (print)ISBN: 978-1-119-82156-4 (electronic)OAI: oai:DiVA.org:mdh-56067DiVA, id: diva2:1599484
Funder
Sida - Swedish International Development Cooperation AgencyAvailable from: 2021-10-01 Created: 2021-10-01 Last updated: 2023-04-13Bibliographically approved

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Publisher's full textScopushttps://onlinelibrary.wiley.com/doi/abs/10.1002/9781119821588.ch2

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Abola, BenardBiganda, PitosSilvestrov, SergeiSilvestrov, DmitriiEngström, Christopher

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