Invariant measures of genetic recombination process

TL;DR

This paper constructs a non-linear Markov process modeling bacterial genome recombination and characterizes its invariant measures, providing insights into a fundamental probability theory problem.

Contribution

It introduces a novel non-linear Markov process linked to bacterial genome recombination and describes its invariant measures, addressing a key probability theory question.

Findings

Invariant measures characterized for the process

Solution to a classical probability problem

New connection between biology and probability theory

Abstract

We construct the non-linear Markov process connected with biological model of bacterial genome recombination. The description of invariant measures of this process gives us the solution of one problem in elementary probability theory.