# The height problem in first passage percolation

## TL;DR

This paper addresses the height problem in first passage percolation on Z2, providing a solution under certain distribution conditions, advancing understanding of the model's geometric properties.

## Contribution

It offers a novel solution to the height problem in first passage percolation when the distribution F satisfies 0 < F(0) < pc.

## Key findings

- Solved the height problem in first passage percolation on Z2.
- Established results for distributions with 0 < F(0) < pc.
- Enhanced understanding of geometric aspects of the model.

## Abstract

We consider the first passage percolation model in Z2 with a distribution F for 0 < F (0) < pc. In this paper, we solve the height problem.