On non-ergodic volterra cubic stochastic operators

Let Sm−1 be the simplex in Rm , and V:Sm−1→Sm−1 be a nonlinear mapping then this operator satisfies an ergodic theorem if the limit limn→∞1n∑k=1nVk(x) exists for every x∈Sm−1 . It is a well known fact that this ergodicity may fail for Volterra quadratic operators, so it is natural to char...

Full description

Bibliographic Details
Main Authors: Mukhamedov, Farrukh, Pah, Chin Hee, Rosli, Azizi
Format: Article
Language:English
English
Published: Springer 2019
Subjects:
Online Access:http://irep.iium.edu.my/73972/
http://irep.iium.edu.my/73972/
http://irep.iium.edu.my/73972/
http://irep.iium.edu.my/73972/8/73972%20On%20Non-ergodic%20Volterra%20Cubic%20-In-press.pdf
http://irep.iium.edu.my/73972/9/73972%20On%20Non-ergodic%20Volterra%20Cubic%20-In-press%20SCOPUS%20pdf.pdf