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The spectral dimension of non-generic branched polymers

1998/08/18 by John F. Wheater, J.F. Wheater, João D. G. Correia +1 · 6 citations
Mathematics · Physics and Astronomy · #Dimension (graph theory) #Exponent #Mathematical Dynamics and Fractals #Mathematics #Nuclear magnetic resonance #Philosophy #Physics #Polymer #Pure mathematics #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #Statistical physics #hep-lat

paper · pdf · doi:10.1016/s0920-5632(99)85202-5

published in Nuclear Physics B - Proceedings Supplements 73(1-3), 783-785 (Elsevier BV) · LATTICE98(surfaces)

arxiv created 1998/08/18 · openalex publication_date 1999/03/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We show that the spectral dimension on non-generic branched polymers with positive susceptibility exponent is given by ds=2/(1+γ). For those models with γ<0 we find that ds=2.

Citations