Weyl asymptotics for Hanoi attractors Academic Article uri icon

abstract

  • The asymptotic behaviour of the eigenvalue counting function of Laplacians on Hanoi attractors is determined. To this end, Dirichlet and resistance forms are constructed. Due to the non self-similarity of these sets, the classical construction of the Laplacian for p.c.f. self-similar fractals has to be modified by combining discrete and quantum graphs methods.

author list (cited authors)

  • Ruiz, P. A., & Freiberg, U. R.

publication date

  • January 1, 2016 11:11 AM