Michel L. Lapidus

most citedFractality, Self-Similarity and Complex Dimensions

11 citations · 11 across the 2 of their papers we have counts for

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math.NT2004

Beurling Zeta Functions, Generalised Primes, and Fractal Membranes

T. W. Hilberdink, M. L. Lapidus

We study generalised prime systems $P$ $(1 < p_{1} \leq p_{2} \leq ...,$ with $p_{j} \in R$ tending to infinity) and the associated Beurling zeta function $ζ_{\mathcal{P}}(s) =\prod_…

math.NT2004★ 11 cited

Fractality, Self-Similarity and Complex Dimensions

Michel L. Lapidus, Machiel van Frankenhuijsen

We present an overview of a theory of complex dimensions of self-similar fractal strings, and compare this theory to the theory of varieties over a finite field from the geometric…