From 8697a957c7737d414cf6fa181048ca0d39e3cfaa Mon Sep 17 00:00:00 2001
From: Daniel VandenHeuvel <95613936+DanielVandH@users.noreply.github.com>
Date: Thu, 26 Sep 2024 07:26:24 +0100
Subject: [PATCH] Update paper.md

---
 paper/paper.md | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/paper/paper.md b/paper/paper.md
index 36bf5da58..3cd1a72f5 100644
--- a/paper/paper.md
+++ b/paper/paper.md
@@ -38,7 +38,7 @@ DelaunayTriangulation.jl has already seen use in several areas. DelaunayTriangul
 
 We give one example of how the package can be used, focusing on Delaunay triangulations rather than Voronoi tessellations. Many more examples are given in the [documentation](https://juliageometry.github.io/DelaunayTriangulation.jl/stable/), including [tutorials](https://juliageometry.github.io/DelaunayTriangulation.jl/stable/tutorials/overview/) and [fully detailed applications](https://juliageometry.github.io/DelaunayTriangulation.jl/stable/applications/overview/) such as cell simulations. To fully demonstrate the utility of the package, we consider a realistic application. We omit code used for plotting with Makie.jl [@danisch2021makie] in the example below for space reasons. The complete code is available [here](https://github.com/JuliaGeometry/DelaunayTriangulation.jl/blob/paper/paper/paper.jl).
 
-We consider a domain motivated by mean exit time, relating to the time taken for a particle to reach a certain target, with applications to areas such as diffusive transport [@carr2022mean] and economics [@li2019first]. For example, mean exit time can be used to describe the expected time for a stock to reach a certain threshold [@li2019first; @redner2001guide]. Denoting the mean exit time of a particle at a point $(x, y)$ by $T(x, y)$, one model describing the mean exit time of a particle existing $\Omega$ with diffusivity $D$ starting at $(x, y)$ is given by [@redner2001guide; @carr2022mean]
+We consider a domain motivated by mean exit time, relating to the time taken for a particle to reach a certain target, with applications to areas such as diffusive transport [@carr2022mean] and economics [@li2019first]. For example, mean exit time can be used to describe the expected time for a stock to reach a certain threshold [@li2019first; @redner2001guide]. Denoting the mean exit time of a particle at a point $(x, y)$ by $T(x, y)$, one model describing the mean exit time of a particle exiting $\Omega$ with diffusivity $D$ starting at $(x, y)$ is given by [@redner2001guide; @carr2022mean]
 $$
 \begin{array}{rcll}
 D\nabla^2 T(x, y) & = & -1 & (x, y) \in \Omega, \\
@@ -78,4 +78,4 @@ refine!(tri; max_area=1e-3get_area(tri))
 
 ![(a) The generated mesh using DelaunayTriangulation.jl for the mean exit time domain. The red dots along the boundary define the absorbing part of the boundary, $\Gamma_a$, and the blue dots define the reflecting part, $\Gamma_r$. (b) The solution to the mean exit time problem using the mesh from (a) together with FiniteVolumeMethod.jl [@vandenheuvel2024finite].\label{fig:1}](figure1.png)
 
-# References
\ No newline at end of file
+# References