# Exponential Segregation in a Two-Dimensional Schelling Model with Tolerant Individuals

arXiv: https://arxiv.org/abs/1511.02537 · HTML: https://mlsanity.com/paper/1511.02537/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 8 Nov 2015.

## Built on by (most cited first, 1 of 1)

- [Single-Peaked Jump Schelling Games](https://mlsanity.com/paper/2302.12107/) (2023)

## Abstract (arXiv)

We prove that the two-dimensional Schelling segregation model yields monochromatic regions of size exponential in the area of individuals' neighborhoods, provided that the tolerance parameter is a constant strictly less than 1/2 but sufficiently close to it. Our analysis makes use of a connection with the first-passage percolation model from the theory of stochastic processes.
