Minimal Gap in the Spectrum of the Sierpinski Gasket Academic Article uri icon


  • Abstract This paper studies the size of the minimal gap between any two consecutive eigenvalues in the Dirichlet and in the Neumann spectrum of the standard Laplace operator on the Sierpiski gasket. The main result shows the remarkable fact that this minimal gap is achieved and coincides with the spectral gap. The Dirichlet case is more challenging and requires some key observations in the behavior of the dynamical system that describes the spectrum.

published proceedings


author list (cited authors)

  • Ruiz, P. A.

citation count

  • 0

complete list of authors

  • Ruiz, Patricia Alonso

publication date

  • December 2022