26 citations · 49 across the 13 of their papers we have counts for
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math.FA2010★ 26 cited
Existence of a Meromorphic Extension of Spectral Zeta Functions on Fractals
Benjamin Steinhurst, Alexander Teplyaev
We investigate the existence of the meromorphic extension of the spectral zeta function of the Laplacian on self-similar fractals using the classical results of Kigami and Lapidus…
math.FA2009★ 3 cited
Eigenmodes of a Laplacian on Some Laakso Spaces
Kevin Romeo, Benjamin Steinhurst
We analyze the spectrum of a self-adjoint operator on a Laakso space using the projective limit construction originally given by Barlow and Evans. We will use the hierarchical cell…
math.FA2008★ 7 cited
Dirichlet Forms on Laakso and Barlow-Evans Fractals of Arbitrary Dimension
Benjamin Steinhurst
In this paper we explore two constructions of the same family of metric measure spaces. The first construction was introduced by Laakso in 2000 where he used it as an example that…