Linear random walks on the torus
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Publication:2130503
DOI10.1215/00127094-2021-0045OpenAlexW2982670545MaRDI QIDQ2130503
Publication date: 25 April 2022
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.13421
Estimates on exponential sums (11L07) Other combinatorial number theory (11B75) Linear algebraic groups over global fields and their integers (20G30) Generation, random and stochastic difference and differential equations (37H10) Probabilistic methods in group theory (20P05) Homogeneous flows (37A17) Relations between ergodic theory and harmonic analysis (37A46)
Related Items (7)
Equidistribution of Affine Random Walks on Some Nilmanifolds ⋮ Expanding measures: Random walks and rigidity on homogeneous spaces ⋮ Polynomial effective equidistribution ⋮ Polynomial effective density in quotients of \(\mathbb{H}^3\) and \(\mathbb{H}^2 \times \mathbb{H}^2\) ⋮ Incidence problems in harmonic analysis, geometric measure theory, and ergodic theory. Abstracts from the workshop held June 4--9, 2023 ⋮ Glasner property for linear group actions and their products ⋮ Generalization of Selberg's 3/16 theorem for convex cocompact thin subgroups of \(\operatorname{SO}(n, 1)\)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stationary measures and invariant subsets of homogeneous spaces. III.
- Expansion in \(\text{SL}_d(\mathbb Z/q\mathbb Z)\), \(q\) arbitrary.
- The discretized sum-product and projection theorems
- Stationary measures and closed invariants on homogeneous spaces
- Approximate subgroups of linear groups.
- Orthogonal projections of discretized sets
- Expansion and random walks in \(\text{SL}_d(\mathbb{Z}/p^n\mathbb{Z})\). II.
- Multilinear exponential sums in prime fields under optimal entropy condition on the sources
- On subgroups of \(GL_ n(F_ p)\)
- Estimates for the number of sums and products and for exponential sums over subgroups in fields of prime order.
- Semigroup action on \(\mathbb T^n\)
- Expansion in perfect groups.
- Introduction to random walks on homogeneous spaces
- Super-approximation. II: The \(p\)-adic case and the case of bounded powers of square-free integers
- Discretized sum-product and Fourier decay in \(\mathbb{R}^n\)
- Random walks on linear groups satisfying a Schubert condition
- On the local-global conjecture for integral Apollonian gaskets. With an appendix by Péter P. Varjú
- Discretized sum-product estimates in matrix algebras
- A product theorem in simple Lie groups
- Product set estimates for non-commutative groups
- Growth and generation in \(\text{SL}_2(\mathbb{Z}/p\mathbb{Z})\).
- Uniform expansion bounds for Cayley graphs of \(\text{SL}_2(\mathbb F_p)\).
- Transience of algebraic varieties in linear groups -- applications to generic Zariski density.
- Random Walks on Reductive Groups
- Approximate subgroups and super-strong approximation
- Stationary measures and equidistribution for orbits of nonabelian semigroups on the torus
- 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
- On the spectral theory of groups of affine transformations of compact nilmanifolds
- Growth in finite simple groups of Lie type
- Expander graphs and their applications
- Orbits of linear group actions, random walks on homogeneous spaces and toral automorphisms
- Stationary measures and invariant subsets of homogeneous spaces (II)
- Ideals, Varieties, and Algorithms
- Local-global principles in circle packings
- Noncommuting Random Products
- Number of Points of Varieties in Finite Fields
- On Zaremba's conjecture
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