On classes of infinite loaded graphs with randomly deleted edges-Reference-Cited by-同舟云学术

On classes of infinite loaded graphs with randomly deleted edges

Published:2020-07-01 Issue:2 Volume:5 Page:257-260
ISSN:2444-8656
Container-title:Applied Mathematics and Nonlinear Sciences
language:en
Short-container-title:

Author:

Gurevich B.M.¹

Affiliation:

1. Lomonosov Moscow State University , Kharkevich Institute for Information Transmission Problems of the Russian Academy of Sciences Russia

Abstract

Abstract For a collection of infinite loaded graphs, random perturbations of special type are considered. It is shown that some known classes of these graphs are stable with respect to small random perturbations of this type, while the rest are not.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science

Link

https://www.sciendo.com/pdf/10.2478/amns.2020.2.00048

Reference6 articles.

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2. B.M. Gurevich and O.R. Novokreschenova (2013), On asymptotic properties of equilibrium measures corresponding to finite submatrices of infinite nonnegative matrices. // JDCS, 2013, 19:3, 327–347.

3. I. Cornfeld, S. Fomin, Ya. Sinai (1982), Ergodic theory, 1982, Springer.

4. E. Seneta (1981), Non-negative Matrices and Markov Chains, 1981, Springer.

5. N.A. Friedman and E.S. Thomas (1985), Higher order sweeping out. // Illinois J. Math., Fall 1985, 29:3, 401–417.

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