Exponential rate of convergence for some Markov operators

TL;DR

This paper establishes the exponential rate of convergence for certain Markov operators associated with continuous iterated function systems, which are useful in modeling cell cycle processes.

Contribution

It provides new theoretical results on the convergence rates of Markov operators linked to continuous iterated function systems.

Findings

Proves exponential convergence for specific Markov operators

Connects Markov operators to cell cycle models

Enhances understanding of iterated function systems

Abstract

The exponential rate of convergence for some Markov operators is established. The operators correspond to continuous iterated function systems which are a very useful tool in some cell cycle models.