M. van den Berg

most citedExpected volume of intersection of Wiener sausages and heat kernel norms on compact Riemannian manifolds with boundary

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2024

On functionals involving the $p$ -capacity and the $q$ -torsional rigidity

Michiel van den Berg, Nunzia Gavitone

Upper bounds are obtained for the $p$ -capacity of compact sets in $R^{d}$ , with $d \geq 2$ and $1 < p < d$ . Upper and lower bounds are obtained for the product of $p$ -capacity and powers…

math.AP2024

Qualitative properties of the heat content

Michiel van den Berg, Katie Gittins

We obtain monotonicity and convexity results for the heat content of domains in Riemannian manifolds and in Euclidean space subject to various initial temperature conditions. We in…

math.AP2006★ 1 cited

Expected volume of intersection of Wiener sausages and heat kernel norms on compact Riemannian manifolds with boundary

M. van den Berg, P. Gilkey

Estimates are obtained for the expected volume of intersection of independent Wiener sausages in Euclidean space in the small time limit. The asymptotic behaviour of the weighted d…

On functionals involving the p-capacity and the q-torsional rigidity

Qualitative properties of the heat content

Expected volume of intersection of Wiener sausages and heat kernel norms on compact Riemannian manifolds with boundary

On functionals involving the $p$ -capacity and the $q$ -torsional rigidity