Random matrix products when the top Lyapunov exponent is simple
DOI10.4171/JEMS/962zbMath1447.37012arXiv1705.09593MaRDI QIDQ783728
Publication date: 4 August 2020
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.09593
Sums of independent random variables; random walks (60G50) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Random matrices (algebraic aspects) (15B52) Functional limit theorems; invariance principles (60F17) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Probabilistic methods in group theory (20P05)
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Cites Work
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- Central limit theorem for linear groups
- Spectral gap properties for linear random walks and Pareto's asymptotics for affine stochastic recursions
- A spectral gap theorem in simple Lie groups
- Strong uniform expansion in \(\text{SL}(2,p)\).
- Stationary measures and closed invariants on homogeneous spaces
- Random subgroups of linear groups are free.
- On self-similar sets with overlaps and inverse theorems for entropy
- Random matrix products and measures on projective spaces
- Nonarchimedean Green functions and dynamics on projective space
- Poisson boundaries of discrete groups of matrices
- Sets of matrices all infinite products of which converge
- Bounded semigroups of matrices
- Stationarity of GARCH processes and of some nonnegative time series
- Random difference equations and renewal theory for products of random matrices
- Subadditive ergodic theory
- Poisson boundary of \(GL_d (\mathbb Q)\)
- Zariski closure and the dimension of the Gaussian law of the product of random matrices. I
- On the dimension of Bernoulli convolutions
- Uniform expansion bounds for Cayley graphs of \(\text{SL}_2(\mathbb F_p)\).
- On the homogeneity at infinity of the stationary probability for an affine random walk
- Random Walks on Reductive Groups
- Developments in fractal geometry
- Random walks on projective spaces
- Comptage probabiliste sur la fronti\`ere de Furstenberg
- Approximate subgroups and super-strong approximation
- Produits de matrices aléatoires et applications aux propriétés géometriques des sous-groupes du groupe linéaire
- Frontière de furstenberg, propriétés de contraction et théorèmes de convergence
- [https://portal.mardi4nfdi.de/wiki/Publication:3311395 Loi des grands nombres et perturbations pour des produits r�ductibles de matrices al�atoires ind�pendantes]
- Harmonic Analysis in Phase Space. (AM-122)
- Recurrence on affine Grassmannians
- Noncommuting Random Products
- The Poisson formula for groups with hyperbolic properties
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