Spectral triples for the Sierpinski gasket
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Publication:2253269
DOI10.1016/j.jfa.2014.02.013zbMath1316.28006arXiv1112.6401OpenAlexW1970435386MaRDI QIDQ2253269
Jean-Luc Sauvageot, Daniele Guido, Tommaso Isola, Fabio Cipriano
Publication date: 25 July 2014
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1112.6401
Related Items (20)
Noncommutative potential theory: a survey ⋮ Some properties of the derivatives on Sierpinski gasket type fractals ⋮ Amenability and subexponential spectral growth rate of Dirichlet forms on von Neumann algebras ⋮ A noncommutative Sierpinski gasket ⋮ Hodge-de Rham Theory of K-Forms on Carpet Type Fractals ⋮ Sobolev algebras on Lie groups and noncommutative geometry ⋮ Dirac gauge theory for topological spinors in 3+1 dimensional networks ⋮ Dirac and magnetic Schrödinger operators on fractals ⋮ Heat trace and spectral action on the standard Podleś sphere ⋮ Examples of infinite direct sums of spectral triples ⋮ Symmetries of Lévy processes on compact quantum groups, their Markov semigroups and potential theory ⋮ Spectral triples and wavelets for higher-rank graphs ⋮ A spectral triple for a solenoid based on the Sierpinski gasket ⋮ Metric approximations of spectral triples on the Sierpiński gasket and other fractal curves ⋮ Finite Energy Coordinates and Vector Analysis on Fractals ⋮ Higher order Laplacians on p.c.f. fractals with three boundary points and dihedral symmetry ⋮ An overview of complex fractal dimensions: from fractal strings to fractal drums, and back ⋮ Spectral triples for the variants of the Sierpiński gasket ⋮ Variations in noncommutative potential theory: Finite-energy states, potentials and multipliers ⋮ Asymptotic and exact expansions of heat traces
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