Embong, Ahmad Fadillah (2022) Compatible linear lypunov function for infinite dimensional volterra quadratic stochastic operators. In: 41st International Conference on Quantum Probability and Related Topics, QP41 2021, 28 March 2021 - 1 April 2021, Al Ain, United Arab Emirates.
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Official URL: http://dx.doi.org/10.1007/978-3-031-06170-7_19
Abstract
The simplest non-linear operator is the quadratic ones. Most of the researches in this direction were investigating on finite set of all probability distributions. However, there are models where the probability distributions are countably infinite, which means that the considered operators are defined on infinite-dimensional spaces. We restrict ourselves to Quadratic Stochastic Operators (QSOs) define on infinite dimension, specifically a class of QSOs called Volterra. In this paper, we construct a linear Lyapunov function for infinite dimensional Volterra QSOs by means of finite dimensional ones.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Uncontrolled Keywords: | infinite dimensional, Lyapunov function, Volterra operator |
| Subjects: | Q Science > Q Science (General) |
| Divisions: | Science |
| ID Code: | 98788 |
| Deposited By: | Yanti Mohd Shah |
| Deposited On: | 02 Feb 2023 08:50 |
| Last Modified: | 02 Feb 2023 08:50 |
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