Tom Carroll

Torsional Rigidity and Expected Lifetime of Brownian Motion

Let

Two isoperimetric inequalities for the Sobolev constant

D

The univalent Bloch–Landau constant, harmonic symmetry and conformal glueing

be an open set in euclidean space

An Extension of Jenkin’s Condition for Extremal Domains Associated with the Univalent Bloch-Landau Constant

{\bb R}^m

Conformal Mapping of Parabola-Shaped Domains

with non-empty boundary

On Lundh’s percolation diffusion

\partial D

Inradius and integral means for Green’s functions and conformal mappings

, and let

Equidistribution and \beta -ensembles

p_D : D \times D \times; [0,\infty)) \longrightarrow {\bb R}

On the bieberbach and koebe constants of a simply connected domain

be the Dirichlet heat kernel for the parabolic operator

On the rate of change of the sharp constant in the Sobolev–Poincaré inequality

{-}\Delta + \partial/\partial t