### Recent Submissions

(2016-01-01)
• #### The geodesic X-ray transform with a $GL(n,\mathbb{C})$-connection ﻿

We derive reconstruction formulas for a family of geodesic ray transforms with connection, defined on simple Riemannian surfaces. Such formulas provide injectivity of such all transforms in a neighbourhood of constant ...

• #### Critical Exponents on Fortuin-Kasteleyn Weighted Planar Maps ﻿

(Springer, 2017-10-01)
In this paper we consider random planar maps weighted by the self-dual Fortuin--Kasteleyn model with parameter $q \in (0,4)$. Using a bijection due to Sheffield and a connection to planar Brownian motion in a cone we obtain ...