Critical Mandelbrot cascades
From MaRDI portal
Publication:393717
DOI10.1007/s00220-013-1829-4zbMath1302.60065arXiv1206.5444OpenAlexW1987636633WikidataQ109553764 ScholiaQ109553764MaRDI QIDQ393717
Christian Webb, Julien Barral, Miika Nikula, Eero Saksman, Antti Kupiainen
Publication date: 24 January 2014
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1206.5444
Related Items
On Gaussian multiplicative chaos ⋮ Stationary random metrics on hierarchical graphs via \((\min,+)\)-type recursive distributional equations ⋮ Liouville Brownian motion ⋮ Basic properties of critical lognormal multiplicative chaos ⋮ Hausdorff and packing spectra, large deviations, and free energy for branching random walks in \({\mathbb{R}^d}\) ⋮ Nesting statistics in the \(O(n)\) loop model on random planar maps ⋮ Box-counting dimension in one-dimensional random geometry of multiplicative cascades ⋮ Critical Gaussian multiplicative chaos: convergence of the derivative martingale ⋮ Gaussian multiplicative chaos and applications: a review ⋮ Fractal generation method based on asymptote family of generalized Mandelbrot set and its application ⋮ On exact scaling log-infinitely divisible cascades ⋮ Liouville Brownian motion at criticality ⋮ Extremes of local times for simple random walks on symmetric trees ⋮ The glassy phase of complex branching Brownian motion ⋮ Genealogy of the extremal process of the branching random walk ⋮ Renormalization of critical Gaussian multiplicative chaos and KPZ relation ⋮ Noncommutative probability and multiplicative cascades ⋮ Local fluctuations of critical Mandelbrot cascades
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Conformal weldings of random surfaces: SLE and the quantum gravity zipper
- Gaussian multiplicative chaos and KPZ duality
- Random conformal weldings
- Limiting laws of supercritical branching random walks
- Poissonian statistics in the extremal process of branching Brownian motion
- Critical Gaussian multiplicative chaos: convergence of the derivative martingale
- Convergence in law for the branching random walk seen from its tip
- Liouville quantum gravity and KPZ
- Exact asymptotics of the freezing transition of a logarithmically correlated random energy model
- Fixed points of the smoothing transform: the boundary case
- Basic properties of critical lognormal multiplicative chaos
- Sur une extension de la notion de loi semi-stable. (On an extension of the notion of semi-stable law)
- Multifractal analysis of complex random 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
- On tails of fixed points of the smoothing transform in the boundary case
- Multifractal dimensions and scaling exponents for stronlgy bounded random cascades
- Sur certaines martingales de Benoit Mandelbrot
- On generalized multiplicative cascades
- Derrida's generalized random energy models. II: Models with continuous hierarchies
- Scaling exponents and multifractal dimensions for independent random cascades
- Polymers on disordered trees, spin glasses, and traveling waves.
- The Seneta-Heyde scaling for the branching random walk
- Renormalization of critical Gaussian multiplicative chaos and KPZ relation
- The singularity spectrum of Lévy processes in multifractal time
- Convergence of solutions of the Kolmogorov equation to travelling waves
- Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier
- Fixed points of the smoothing transformation
- KPZ formula for log-infinitely divisible multifractal random measures
- Statistical Mechanics of Disordered Systems
- Continuity of the multifractal spectrum of a random statistically self-similar measure
This page was built for publication: Critical Mandelbrot cascades