Poincaré Functional Equations, Harmonic Measures on Julia Sets, and Fractal Zeta Functions
From MaRDI portal
Publication:2808819
DOI10.1007/978-3-319-18660-3_10zbMath1337.28012OpenAlexW2493976683MaRDI QIDQ2808819
Publication date: 25 May 2016
Published in: Fractal Geometry and Stochastics V (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-18660-3_10
Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Fractals (28A80)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Spectral analysis on infinite Sierpiński fractafolds
- Existence of a meromorphic extension of spectral zeta functions on fractals
- On a spectral analysis for the Sierpiński gasket.
- Spectral asymptotics for Laplacians on self-similar sets
- Brownian motion on the Sierpinski gasket
- M-estimation for autoregression with infinite variance
- Functional iterations and periodic oscillations for simple random walk on the Sierpiński graph
- Weyl's problem for the spectral distribution of Laplacians on P.C.F. self-similar fractals
- Self-similarity, operators and dynamics
- The cone of diffusions on finitely ramified fractals.
- Green functions on self-similar graphs and bounds for the spectrum of the Laplacian
- Hilbert's projective metric on cones of Dirichlet forms
- Length of Julia curves
- On eigenvalue problems for Laplacians on p.c.f. self-similar sets
- On-diagonal oscillation of the heat kernels on post-critically finite self-similar fractals
- Log-periodic asymptotic expansion of the spectral partition function for self-similar sets
- Laplacians on fractals with spectral gaps have nicer Fourier series
- Disconnected Julia sets and gaps in the spectrum of Laplacians on symmetric finitely ramified fractals
- Laplace operators on fractals and related functional equations
- Spectral zeta functions of fractals and the complex dynamics of polynomials
- VIBRATION SPECTRA OF FINITELY RAMIFIED, SYMMETRIC FRACTALS
- Brownian motion on nested fractals
- Existence and uniqueness of diffusions on finitely ramified self-similar fractals
- Functional iterations and stopping times for Brownian motion on the Sierpiński gasket
- Fractafolds based on the Sierpinski gasket and their spectra
- Asymptotics of the transition probabilities of the simple random walk on self-similar graphs
- Renormalization contracts on nested fractals.
- The zeta function of the Laplacian on certain fractals
- Vibration modes of 3n-gaskets and other fractals
- Dynamics in One Complex Variable. (AM-160)
- Some Properties of the Eigenfunctions of The Laplace-Operator on Riemannian Manifolds
