# Conditioning in tropical probability theory

## TL;DR

This paper introduces a natural conditioning operation for tropical diagrams of probability spaces and proves its Lipschitz continuity relative to the asymptotic entropy distance, advancing the mathematical understanding of tropical probability theory.

## Contribution

It defines a new conditioning operation in tropical probability spaces and establishes its Lipschitz continuity, providing foundational insights into tropical probability structures.

## Key findings

- Conditioning operation is Lipschitz continuous.
- Operates on tropical diagrams of probability spaces.
- Enhances mathematical framework of tropical probability theory.

## Abstract

We define a natural operation of conditioning of tropical diagrams of probability spaces and show that it is Lipschitz continuous with respect to the asymptotic entropy distance.