32 citations · 218 across the 22 of their papers we have counts for
24 papers
Topological recursion of the Weil-Petersson volumes of hyperbolic surfaces with tight boundaries
Timothy Budd, Bart Zonneveld
The Weil-Petersson volumes of moduli spaces of hyperbolic surfaces with geodesic boundaries are known to be given by polynomials in the boundary lengths. These polynomials satisfy…
Lessons from the Mathematics of Two-Dimensional Euclidean Quantum Gravity
Timothy Budd
The search for a mathematical foundation for the path integral of Euclidean quantum gravity calls for the construction of random geometry on the spacetime manifold. Following devel…
Scale-invariant random geometry from mating of trees: a numerical study
Timothy Budd, Alicia Castro
The search for scale-invariant random geometries is central to the Asymptotic Safety hypothesis for the Euclidean path integral in quantum gravity. In an attempt to uncover new uni…
A family of triangulated 3-spheres constructed from trees
Timothy Budd, Luca Lionni
The search for universality in random triangulations of manifolds, like those featuring in (Euclidean) Dynamical Triangulations, is central to the random geometry approach to quant…
Irreducible metric maps and Weil-Petersson volumes
Timothy Budd
We consider maps on a surface of genus with all vertices of degree at least three and positive real lengths assigned to the edges. In particular, we study the family of such me…
On polynomials counting essentially irreducible maps
Timothy Budd
We consider maps on genus- surfaces with (labeled) faces of prescribed even degrees. It is known since work of Norbury that, if one disallows vertices of degree one, the enu…