On infinite dimensional dissipative stochastic operators

We extend the notion of dissipativity of maps to infinite dimensional simplex. We show that a quadratic stochastic operator is continuous on infinite dimensional simplex. We study linear dissipative maps and the limit behavior of their trajectory.

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Bibliographic Details
Main Author: Shahidi, Farruh
Format: Conference or Workshop Item
Language:English
English
Published: 2012
Subjects:
Online Access:http://irep.iium.edu.my/11036/4/Farruh_2020C.pdf
http://irep.iium.edu.my/11036/5/farruh_cert.pdf
http://irep.iium.edu.my/11036/
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Summary:We extend the notion of dissipativity of maps to infinite dimensional simplex. We show that a quadratic stochastic operator is continuous on infinite dimensional simplex. We study linear dissipative maps and the limit behavior of their trajectory.