2012/05/11 by Gerald V. Dunne, Gerald V Dunne · 2 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Fractal #Heat kernel #Mathematical Dynamics and Fractals #Physical system #Quantum #Quantum chaos and dynamical systems #Riemann zeta function #Spectrum (functional analysis) #gr-qc #hep-th #math-ph #math.MP
paper · pdf · doi:10.1088/1751-8113/45/37/374016
published as J.Phys. A45 (2012) 374016 · 19 pages, invited contribution for JPhysA Special Issue in honour of J. S. Dowker
arxiv created 2012/05/11 · openalex publication_date 2012/09/04 · arxiv updated 2013/06/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
On fractals, spectral functions such as heat kernels and zeta functions exhibit novel features, very different from their behaviour on regular smooth manifolds, and these can have important physical consequences for both classical and quantum physics in systems having fractal properties. This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical in honour of Stuart Dowker's 75th birthday devoted to 'Applications of zeta functions and other spectral functions in mathematics and physics'.