Multifractal spectra for random self-similar measures via branching processes
From MaRDI portal
Publication:2996567
DOI10.1239/aap/1300198510zbMath1223.28010OpenAlexW2079459854MaRDI QIDQ2996567
J. D. Biggins, Owen Dafydd Jones, Benjamin M. Hambly
Publication date: 3 May 2011
Published in: Advances in Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1239/aap/1300198510
Hausdorff dimensionlocal dimensionmultifractal spectrumself-similar measuregeneral branching process
Self-similar stochastic processes (60G18) Fractals (28A80) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)
Related Items
On the multifractal analysis of a non-standard branching random walk, Heavy tails in last-passage percolation, Hausdorff and packing spectra, large deviations, and free energy for branching random walks in \({\mathbb{R}^d}\), On the exact dimension of Mandelbrot measure, Hausdorff and packing dimensions of Mandelbrot measure, On the multifractal analysis of branching random walk on Galton-Watson tree with random metric, On the multifractal analysis of the branching random walk in \(\mathbb R^d\), The Hausdorff spectrum of a class of multifractal processes, On the multifractal analysis of the covering number on the Galton–Watson tree, Construction and selection of the optimal balanced blocked definitive screening design, A relative vectorial multifractal formalism
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Heavy tails in last-passage percolation
- A log-type moment result for perpetuities and its application to martingales in supercritical branching random walks
- Self-similar random measures. I: Notion, carrying Hausdorff dimension, and hyperbolic distribution
- General branching processes as Markov fields
- The multifractal spectrum of statistically self-similar measures
- Seneta-Heyde norming in the branching random walk
- Estimation of moments of sums of independent real random variables
- On generalized multiplicative cascades
- Self-similar random fractal measures using contraction method in probabilistic metric spaces
- Asymptotic properties and absolute continuity of laws stable by random weighted mean.
- Random Markov-self-similar measures.
- Lindley-type equations in the branching random walk
- A multifractal formalism
- The growth and spread of the general branching random walk
- Elementary fixed points of the BRW smoothing transforms with infinite number of summands
- Random fractals and probability metrics
- Random Recursive Constructions: Asymptotic Geometric and Topological Properties
- On the convergence of supercritical general (C-M-J) branching processes
- Martingale convergence in the branching random walk
- Growth rates in the branching random walk
- Generalized vector multiplicative cascades
- The strong open set condition in the random case
- Fixed points of a generalized smoothing transformation and applications to the branching random walk
- Measure change in multitype branching
- Random Self-Similar Multifractals
- Sell‐Similar Random Measures. IV – The Recursive Construction Model of Falconer, Graf, and Mauldin and Williams
- Continuity of the multifractal spectrum of a random statistically self-similar measure
