# Limit of 1-Dimensional Mixed-Mechanism Interacting Particle System Model

## TL;DR

This paper studies a 1D mixed-mechanism interacting particle system, deriving its limit as a stochastic partial differential equation driven by space-time white noise, incorporating new mechanisms like random switch and local homogenization.

## Contribution

It introduces new mechanisms such as random switch and unbiased local homogenization into the voter process model and establishes the SPDE limit with high-frequency duplication effects.

## Key findings

- Limit described by SPDE driven by space-time white noise
- Inclusion of new mechanisms like random switch and local homogenization
- Identification of high-frequency duplication as key to the diffusion term

## Abstract

Elaborating on the model from voter process with mixed-mechanism under suitable scaling, I have two new mechanisms which are random switch and unbiased local Homogenization and subtly biased advantage but with state dependent coefficient involved. The most crucial one, the existence of high-frequency duplication generating the diffusion term and noise term in each case identifies the limit equation as SPDE driven by space time white noise.