# Lozenge tilings of hexagons with cuts and asymptotic fluctuations: a new universality class

## TL;DR

This paper studies the asymptotic behavior of lozenge tilings in non-convex hexagons with cuts, revealing a new universality class through a novel kernel that describes fluctuations as the region size grows.

## Contribution

It introduces a new kernel characterizing the asymptotic fluctuations of lozenge tilings in non-convex regions with cuts, expanding universality classes in tiling models.

## Key findings

- Discovery of a new kernel for non-convex tilings
- Identification of a new universality class
- Asymptotic fluctuation behavior near cuts

## Abstract

This paper investigates lozenge tilings of non-convex hexagonal regions and more specifically the asymptotic fluctuations of the tilings within and near the strip formed by opposite cuts in the regions, when the size of the regions tend to infinity, together with the cuts. It leads to a new kernel, which is expected to have universality properties.