Exact dimension of Furstenberg measures
type: Item
instance of: scholarly article
title: Exact dimension of Furstenberg measures
author: François Ledrappier
author: Pablo Lessa
published in: Geometric and Functional Analysis. GAFA
publication date: 2023-03-14T00:00:00Z
full work available at URL: https://arxiv.org/abs/2105.11712
Mathematics Subject Classification ID: 37C45
Mathematics Subject Classification ID: 37A99
Mathematics Subject Classification ID: 28A80
zbMATH DE Number: 7662891
zbMATH Keywords: Furstenberg measure
zbMATH Keywords: dimension
MaRDI profile type: Publication
OpenAlex ID: W3164566165
cites work: Automorphisms of convex cones
cites work: Hausdorff dimension of planar self-affine sets and measures
cites work: Ledrappier-Young formula and exact dimensionality of self-affine measures
cites work: Stationary measures for projective transformations: the Blackwell and Furstenberg measures
cites work: Random Walks on Reductive Groups
cites work: On the regularity of stationary measures
cites work: Q4269108
cites work: Finitely Supported Measures on $$S{L}_{2}(\mathbb{R})$$ Which are Absolutely Continuous at Infinity
cites work: Convex Real Projective Structures on Closed Surfaces are Closed
cites work: Harmonicity of Gibbs measures
cites work: Entropies of strictly convex projective manifolds
cites work: Q3891523
cites work: Q3886544
cites work: Q3284980
cites work: Sixty Years of Fractal Projections
cites work: Dimension theory of iterated function systems
cites work: Noncommuting Random Products
cites work: Q5610469
cites work: Q5625484
cites work: Ergodic fractal measures and dimension conservation
cites work: Calculation of the amount of information about a random function contained in another such function
cites work: Lyapunov indices of a product of random matrices
cites work: Convex real projective structures on compact surfaces
cites work: Hitchin components and hyperconvex representations of surface groups
cites work: Produits de matrices aléatoires et applications aux propriétés géometriques des sous-groupes du groupe linéaire
cites work: Asymptotic winding of the geodesic flow on modular surfaces and continuous fractions
cites work: Q1123472
cites work: On the dimension of Furstenberg measure for \({SL}_{2}(\mathbb {R})\) random matrix products
cites work: Local dimensions of sliced measures and stability of packing dimensions of sections of sets
cites work: Hausdorff and packing dimensions and sections of measures
cites work: Matrix random products with singular harmonic measure
cites work: Déformations de connexions localement plates
cites work: Q3894691
cites work: Anosov flows, surface groups and curves in projective space
cites work: Cross ratios, surface groups, \(\text{PSL}(n,\mathbb R)\) and diffeomorphisms of the circle
cites work: Q3700520
cites work: Poisson boundaries of discrete groups of matrices
cites work: Q3838587
cites work: Entropy and dimension of disintegrations of stationary measures
cites work: The metric entropy of diffeomorphisms. II: Relations between entropy, exponents and dimension
cites work: Q4328334
cites work: Q5646734
cites work: Q5329487
cites work: Eigenvalues and entropy of a Hitchin representation
cites work: A self-similar measure with dense rotations, singular projections and discrete slices
cites work: Exact dimensionality and Ledrappier-Young formula for the Furstenberg measure
cites work: A Mathematical Theory of Communication
cites work: Hausdorff dimension of the graphs of the classical Weierstrass functions
cites work: Projections of Self-Similar and Related Fractals: A Survey of Recent Developments
cites work: Dimension, entropy and Lyapunov exponents
DOI: 10.1007/S00039-023-00631-0
description: scientific article; zbMATH DE number 7662891