# Two formalisms of stochastization of one-step models

## TL;DR

This paper compares two formal approaches to stochastization of one-step models, focusing on their practical applications in constructing realistic mathematical models from first principles.

## Contribution

It introduces and contrasts the combinatorial and operator formalisms for stochastization, highlighting their practical utility.

## Key findings

- Two main formalisms of stochastization are identified: combinatorial and operator.
- The paper emphasizes practical applications of these formalisms.
- Both approaches unify various existing methods into a coherent framework.

## Abstract

To construct realistic mathematical models from the first principles, the authors suggest using the stochastization method. In a number of works different approaches to stochastization of mathematical models were considered. In the end, the whole variety of approaches was reduced to two formalisms: combinatorial (state vectors) and operator (occupation numbers). In the article the authors briefly describe these formalisms with an emphasis on their practical application.