Regularized Laplacian determinants of self-similar fractals
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Publication:1639947
DOI10.1007/s11005-017-1027-yzbMath1391.28006arXiv1610.10062OpenAlexW2546589742WikidataQ55395523 ScholiaQ55395523MaRDI QIDQ1639947
Joe P. Chen, Alexander Teplyaev, Konstantinos Tsougkas
Publication date: 13 June 2018
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.10062
Enumeration in graph theory (05C30) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Fractals (28A80) Determinants and determinant bundles, analytic torsion (58J52) Spectral theory; eigenvalue problems on manifolds (58C40)
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Cites Work
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- Spectral analysis on infinite Sierpiński fractafolds
- Existence of a meromorphic extension of spectral zeta functions on fractals
- Ten physical applications of spectral zeta functions.
- The number of spanning trees in self-similar graphs
- On eigenvalue problems for the random walks on the Sierpinski pre- gaskets
- On a spectral analysis for the Sierpiński gasket.
- Spanning trees on the Sierpinski gasket
- Zeta function regularization of path integrals in curved spacetime
- Weyl's problem for the spectral distribution of Laplacians on P.C.F. self-similar fractals
- Self-similarity, operators and dynamics
- On eigenvalue problems for Laplacians on p.c.f. self-similar sets
- Fractal space-times under the microscope: a renormalization group view on Monte Carlo data
- Determinant theory in finite factors
- Singularly continuous spectrum of a self-similar Laplacian on the half-line
- Counting spanning trees on fractal graphs and their asymptotic complexity
- Heat kernels and zeta functions on fractals
- Statistical Mechanics and Quantum Fields on Fractals
- Laplace operators on fractals and related functional equations
- Spectral zeta functions of fractals and the complex dynamics of polynomials
- Spectral dimension and Bohr's formula for Schrödinger operators on unbounded fractal spaces
- Zeta functions, heat kernels, and spectral asymptotics on degenerating families of discrete tori
- Fractafolds based on the Sierpinski gasket and their spectra
- Exact spectral asymptotics on the Sierpinski gasket
- The zeta function of the Laplacian on certain fractals
- Vibration modes of 3n-gaskets and other fractals
- Asymptotic Enumeration of Spanning Trees
