Heat kernels and zeta functions on fractals

From MaRDI portal
Publication:2920324

DOI10.1088/1751-8113/45/37/374016zbMath1258.81042arXiv1205.2723OpenAlexW3100789337MaRDI QIDQ2920324

Gerald V. Dunne

Publication date: 16 October 2012

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.2723




Related Items (27)

Explicit formulas for heat kernels on diamond fractalsRegularized Laplacian determinants of self-similar fractalsFractal snowflake domain diffusion with boundary and interior driftsMagnetic Laplacians of locally exact forms on the Sierpinski gasketFractional space approach to studies of physical phenomena on fractals and in confined low-dimensional systemsGaps labeling theorem for the bubble-diamond self-similar graphsDimension and dimensional reduction in quantum gravityPerfect quantum state transfer on diamond fractal graphsEffective de Sitter space, quantum behaviour and large-scale spectral dimension \((3+1)\)Spectral decimation of piecewise centrosymmetric Jacobi operators on graphsFree energy on a cycle graph and trigonometric deformation of heat kernel traces on odd spheresEvaluation of spectral zeta-functions with the renormalization groupWave equation on one-dimensional fractals with spectral decimation and the complex dynamics of polynomialsEmergence of the circle in a statistical model of random cubic graphsLog-periodic critical amplitudes: a perturbative approachBreaking of continuous scale invariance to discrete scale invariance: a universal quantum phase transitionNoteworthy fractal features and transport properties of Cantor tartansSpectral analysis on Barlow and Evans' projective limit fractalsSpectral analysis for weighted iterated q-triangulation networksSingularly continuous spectrum of a self-similar Laplacian on the half-lineGaps in the spectrum of the Laplacian on \(3N\)-gasketsBell polynomials and Brownian bridge in spectral gravity models on multifractal Robertson-Walker cosmologiesHamiltonian systems, Toda lattices, solitons, Lax pairs on weighted Z-graded graphsSYMMETRY BREAKING IN TOPOLOGICAL QUANTUM GRAVITYEmergent time, cosmological constant and boundary dimension at infinity in combinatorial quantum gravityResponse of a canonical ensemble of quantum oscillators to a random metricSpectra of perfect state transfer Hamiltonians on fractal-like graphs




This page was built for publication: Heat kernels and zeta functions on fractals