Article

Dynamics of nonlinear stochastic operators and associated Markov measures

Uygun JamilovFaculty of Mathematics National University of Uzbekistan Tashkent UzbekistanFarrukh MukhamedovDepartment of Mathematical Sciences, College of Science United Arab Emirates University Al Ain United Arab EmiratesFarzona MukhamedovaKing's College London London UKAbdessatar SouissiDepartment of Management Information Systems, College of Business and Economics Qassim University Buraydah Saudi Arabia

Mathematical Methods in the Applied Sciencesjournal2024en

ABI

Abstract

The aim of this paper is to examine the stability of a class of nonlinear stochastic operators on a finite‐dimensional simplex. We identify a number of properties of the set of the class of stochastic operators, including the stability of each operator. We then use these operators to define non‐homogeneous Markov measures that rely on initial data and carry out an investigation into the absolute continuity and singularity of these measures.

Topics

Stochastic processes and financial applications Advanced Thermodynamics and Statistical Mechanics Advanced Topics in Algebra

Identifiers

DOI: 10.1002/mma.10191

Citations and references

Cited by 1 40 references

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