Self-similar branching Markov chains

TL;DR

This paper introduces self-similar branching Markov chains, constructs these processes, and establishes limit theorems using the theory of self-similar Markov processes.

Contribution

It provides a new framework for self-similar branching Markov chains and derives foundational limit theorems for these processes.

Findings

Construction of self-similar branching Markov chains

Establishment of limit theorems for these chains

Application of self-similar Markov process theory

Abstract

The main purpose of this work is to study self-similar branching Markov chains. First we will construct such a process. Then we will establish certain Limit Theorems using the theory of self-similar Markov processes.