A family of operators on primes yields spectral dimension 1/2 via the continuum limit of the squared Hamiltonian to the one-dimensional bi-Laplacian.
Connes.Noncommutative Geometry
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Spectral Geometry of the Primes
A family of operators on primes yields spectral dimension 1/2 via the continuum limit of the squared Hamiltonian to the one-dimensional bi-Laplacian.