Convergence of Brownian motion with a scaled Dirac delta potential (Q2891992)

This is a non-technical survey paper (intended for non-mathematicians or non-specialists) on Dirichlet form techniques for scaling limits. The methods are exemplified using Brownian motion with potentials of the form \(n\delta_0\), \(n\in\mathbb N\), which converge, as \(n\to\infty\), to a Brownian motion with absorption at the origin. The first half of the paper is functional analytic, the second half considers some aspects using stochastic analysis.