Statistical properties of planar Voronoi tessellations

TL;DR

This paper reviews recent advances in the study of planar Poisson-Voronoi tessellations, including new analytical results, a Monte Carlo method, and applications to experimental data.

Contribution

It provides a concise overview of recent developments, introducing new analytic techniques, a Monte Carlo simulation approach, and demonstrating practical applications.

Findings

New analytic results on tessellation properties

Development of a Monte Carlo simulation method

Application to real experimental data

Abstract

I present a concise review of advances realized over the past three years on planar Poisson-Voronoi tessellations. These encompass new analytic results, a new Monte Carlo method, and application to experimental data.