# Speed and fluctuations for some driven dimer models

## TL;DR

This paper analyzes driven dimer models on square and honeycomb graphs, revealing their growth speed and fluctuation behavior, and classifies them within the anisotropic KPZ universality class.

## Contribution

It provides a combinatorial method to determine growth speed and fluctuation scaling in driven dimer models, connecting them to the anisotropic KPZ class.

## Key findings

- Logarithmic growth of height function variance over time
- Explicit calculation of growth speed for the models
- Classification within the anisotropic KPZ universality class

## Abstract

We consider driven dimer models on the square and honeycomb graphs, starting from a stationary Gibbs measure. Each model can be thought of as a two dimensional stochastic growth model of an interface, belonging to the anisotropic KPZ universality class. We use a combinatorial approach to determine the speed of growth and show logarithmic growth in time of the variance of the height function fluctuations.