Convergence of Brownian motion with a scaled Dirac delta potential

摘要: The method of deriving scaling limits using Dirichlet-form techniques has already been successfully applied to a number infinite-dimensional problems. However, extracting the key tools from these papers is rather difficult task for non-experts. This paper meets need simple presentation by applying it basic example, namely convergence Brownian motions with potentials given n multiplied Dirac delta at 0 motion absorption 0.