Central Limit Theorem for Coloured Hard-Dimers

TL;DR

This paper proves that certain probability distributions related to coloured hard-dimers follow a central limit theorem, using an averaged generating function to analyze their behavior.

Contribution

It introduces a new approach using an averaged generating function to establish a central limit theorem for variables associated with coloured hard-dimers.

Findings

Probability distributions obey a central limit theorem

Averaged generating function effectively analyzes coloured hard-dimers

Main result confirms normal distribution convergence

Abstract

Using an averaged generating function for coloured hard-dimers, some random variables of interest are studied. The main result lies in the fact that all their probability distributions obey a central limit theorem.