Box-counting dimension in one-dimensional random geometry of multiplicative cascades
From MaRDI portal
Publication:2696092
DOI10.1007/s00220-022-04558-9OpenAlexW4309490407MaRDI QIDQ2696092
Sascha Troscheit, Kenneth J. Falconer
Publication date: 6 April 2023
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.15315
Cites Work
- Unnamed Item
- Unnamed Item
- Uniqueness and universality of the Brownian map
- Critical Mandelbrot cascades
- Hausdorff and packing spectra, large deviations, and free energy for branching random walks in \({\mathbb{R}^d}\)
- On the uniqueness of the branching parameter for a random cascade measure
- Liouville quantum gravity and KPZ
- The continuum random tree. I
- Multifractal analysis of complex random cascades
- Convergence of complex multiplicative cascades
- Minimal position and critical martingale convergence in branching random walks, and directed polymers on disordered trees
- KPZ in one dimensional random geometry of multiplicative cascades
- Sur certaines martingales de Benoit Mandelbrot
- Packing dimension of the image of fractional Brownian motion
- Mandelbrot cascades on random weighted trees and nonlinear smoothing transforms
- On the dimensions of attractors of random self-similar graph directed iterated function systems
- The fractal dimension of Liouville quantum gravity: universality, monotonicity, and bounds
- A capacity approach to box and packing dimensions of projections of sets and exceptional directions
- Liouville quantum gravity with matter central charge in (1, 25): a probabilistic approach
- A revisited proof of the Seneta-Heyde norming for branching random walks under optimal assumptions
- A uniform dimension result for two-dimensional fractional multiplicative processes
- On quasisymmetric embeddings of the Brownian map and continuum trees
- Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier
- Exact dimensionality and projection properties of Gaussian multiplicative chaos measures
- Convergence Rates in the Law of Large Numbers
This page was built for publication: Box-counting dimension in one-dimensional random geometry of multiplicative cascades