Explicit formulas for heat kernels on diamond fractals

DOI10.1007/s00220-018-3221-xzbMath1402.81159arXiv1712.00385OpenAlexW2774648495WikidataQ129340233 ScholiaQ129340233MaRDI QIDQ1620837

Patricia Alonso-Ruiz

Publication date: 14 November 2018

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.00385

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Fractals (28A80) Distance in graphs (05C12) Value distribution theory in higher dimensions (32H30) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (18)

Resistance forms on self-similar sets with finite ramification of finite type ⋮ Phase transitions of the variety of random-field Potts models ⋮ Gaps labeling theorem for the bubble-diamond self-similar graphs ⋮ Graph‐like spaces approximated by discrete graphs and applications ⋮ Perfect quantum state transfer on diamond fractal graphs ⋮ Self‐adjoint Laplacians and symmetric diffusions on hyperbolic attractors ⋮ Spectral decimation of piecewise centrosymmetric Jacobi operators on graphs ⋮ Weak-disorder limit for directed polymers on critical hierarchical graphs with vertex disorder ⋮ Breaking of continuous scale invariance to discrete scale invariance: a universal quantum phase transition ⋮ Spectral analysis on Barlow and Evans' projective limit fractals ⋮ Spectral analysis for weighted iterated q-triangulation networks ⋮ Weak-disorder limit at criticality for directed polymers on hierarchical graphs ⋮ Continuum directed random polymers on disordered hierarchical diamond lattices ⋮ Approximation of partial differential equations on compact resistance spaces ⋮ Hamiltonian systems, Toda lattices, solitons, Lax pairs on weighted Z-graded graphs ⋮ Continuum models of directed polymers on disordered diamond fractals in the critical case ⋮ Renormalization-group theory of the Heisenberg model in \(d\) dimensions ⋮ Spectra of perfect state transfer Hamiltonians on fractal-like graphs

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