Weyl asymptotics for Hanoi attractors Academic Article uri icon

abstract

  • AbstractThis paper studies the asymptotic behavior of the eigenvalue counting function of the Laplacian on some weakly self-similar fractals called Hanoi attractors. A resistance form is constructed and equipped with a suitable measure in order to obtain a Dirichlet form and its associated Laplacian. Hereby, the classical construction for p.c.f. self-similar fractals has to be modified by combining discrete and quantum graph methods.

published proceedings

  • Forum Mathematicum

author list (cited authors)

  • Alonso Ruiz, P., & Freiberg, U. R.

citation count

  • 3

complete list of authors

  • Alonso Ruiz, Patricia||Freiberg, Uta R

publication date

  • September 2017