Inside singularity sets of random Gibbs measures

DOI10.1007/S10955-005-5458-YzbMath1098.82015arXivmath/0503420OpenAlexW2091011604MaRDI QIDQ811899

Julien Barral, Stéphane Seuret

Publication date: 23 January 2006

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0503420

zbMATH Keywords

self-similarityHausdorff dimensionlarge deviationsfractalsrandom Gibbs measures

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Fractals (28A80)

Related Items (7)

The singularity spectrum of Lévy processes in multifractal time ⋮ Multivariate multifractal analysis ⋮ The multifractal nature of heterogeneous sums of Dirac masses ⋮ Multifractal formalism for the inverse of random weak Gibbs measures ⋮ Ubiquitous systems and metric number theory ⋮ Wavelet series built using multifractal measures ⋮ Renewal of singularity sets of random self-similar measures

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sur certaines martingales de Benoit Mandelbrot
• Multifractal analysis of infinite products
• The multifractal nature of Lévy processes
• Estimates for the lower and the upper dimension of a measure
• Multiperiodic multifractal martingale measures.
• Large deviations formalism for multifractals
• An improved multifractal formalism and self-similar measures
• A multifractal formalism
• Heterogeneous ubiquitous systems in \(\mathbb R^d\) and Hausdorff dimension
• Combining multifractal additive and multiplicative chaos
• The singularity spectrum of Lévy processes in multifractal time
• Renewal of singularity sets of random self-similar measures
• The multifractal nature of heterogeneous sums of Dirac masses
• Fractal measures and their singularities: The characterization of strange sets
• The singularity spectrumf(α) for cookie-cutters
• Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier
• Almost sure invariance principles for partial sums of weakly dependent random variables
• Limit theorems for random transformations and processes in random environments
• Multifractal analysis of weak Gibbs measures and phase transition—application to some Bernoulli convolutions
• The multifractal analysis of Gibbs measures: Motivation, mathematical foundation, and examples
• On the multifractal analysis of measures

This page was built for publication: Inside singularity sets of random Gibbs measures