13 citations · 27 across the 12 of their papers we have counts for
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math.SP2026
Dirac measures can be quantum limits on the Sierpinski gasket
Patricia Alonso Ruiz, Nikolay Tzvetkov
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…
math.SP2021
Minimal gap in the spectrum of the Sierpinski gasket
Patricia Alonso Ruiz
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 Sierpins…
math.SP2013★ 5 cited
Weyl asymptotics for Hanoi attractors
Patricia Alonso Ruiz, Uta Freiberg
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 th…