Dirac measures can be quantum limits on the Sierpinski gasket
arXiv:2609.31200
Abstract
We prove that on the Sierpinski gasket, a prototype of compact fractal space, Dirac distributions arise as the weak limit of probability measures associated with sequences of high energy eigenfunctions of the Laplacian in a way that cannot happen in compact Riemannian manifolds.
9 pages, 5 figures