# Lower bound for the coarse Ricci curvature of continuous-time pure jump processes

## TL;DR

This paper establishes a lower bound for the coarse Ricci curvature in continuous-time pure jump Markov processes, especially in interacting particle systems, and explores applications including herd behavior in agent models.

## Contribution

It provides a novel lower bound for coarse Ricci curvature in pure jump processes, with detailed analysis of herd behavior in interacting agents.

## Key findings

- Lower bound for coarse Ricci curvature derived
- Application to herd behavior in agent models
- Insights into interacting particle systems

## Abstract

We obtain a lower bound for the coarse Ricci curvature of continuous time pure jump Markov processes, with an emphasis on interacting particle systems. Applications to several models are provided, with a detailed study of the herd behavior of a simple model of interacting agents.