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Linear random walks on the torus (Q2130503)

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scientific article; zbMATH DE number 7513356

Language	Label	Description	Also known as
English	Linear random walks on the torus	scientific article; zbMATH DE number 7513356

Statements

scholarly article

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Linear random walks on the torus (English)

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Nicolas de Saxcé

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Duke Mathematical Journal

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publication date

25 April 2022

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full work available at URL

https://arxiv.org/abs/1910.13421

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zbMATH Keywords

equidistribution

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random walk

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sum-product

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toral automorphism

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MaRDI profile type

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Transience of algebraic varieties in linear groups -- applications to generic Zariski density.

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On the spectral theory of groups of affine transformations of compact nilmanifolds

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Stationary measures and closed invariants on homogeneous spaces

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Introduction to random walks on homogeneous spaces

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Stationary measures and invariant subsets of homogeneous spaces (II)

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Stationary measures and invariant subsets of homogeneous spaces. III.

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Random Walks on Reductive Groups

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Multilinear exponential sums in prime fields under optimal entropy condition on the sources

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The discretized sum-product and projection theorems

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Stationary measures and equidistribution for orbits of nonabelian semigroups on the torus

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Uniform expansion bounds for Cayley graphs of \(\text{SL}_2(\mathbb F_p)\).

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Expansion and random walks in \(\text{SL}_d(\mathbb{Z}/p^n\mathbb{Z})\). II.

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On the local-global conjecture for integral Apollonian gaskets. With an appendix by Péter P. Varjú

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On Zaremba's conjecture

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Estimates for the number of sums and products and for exponential sums over subgroups in fields of prime order.

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Expansion in \(\text{SL}_d(\mathbb Z/q\mathbb Z)\), \(q\) arbitrary.

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Approximate subgroups and super-strong approximation

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Approximate subgroups of linear groups.

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Ideals, Varieties, and Algorithms

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A product theorem in simple Lie groups

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Local-global principles in circle packings

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Noncommuting Random Products

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Produits de matrices aléatoires et applications aux propriétés géometriques des sous-groupes du groupe linéaire

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Frontière de furstenberg, propriétés de contraction et théorèmes de convergence

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Orbits of linear group actions, random walks on homogeneous spaces and toral automorphisms

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Discretized sum-product estimates in matrix algebras

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Orthogonal projections of discretized sets

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Random walks on linear groups satisfying a Schubert condition

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Growth and generation in \(\text{SL}_2(\mathbb{Z}/p\mathbb{Z})\).

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Expander graphs and their applications

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Number of Points of Varieties in Finite Fields

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Discretized sum-product and Fourier decay in \(\mathbb{R}^n\)

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Semigroup action on \(\mathbb T^n\)

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On subgroups of \(GL_ n(F_ p)\)

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Growth in finite simple groups of Lie type

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Super-approximation. II: The \(p\)-adic case and the case of bounded powers of square-free integers

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Expansion in perfect groups.

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Product set estimates for non-commutative groups

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Identifiers

10.1215/00127094-2021-0045

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2130503

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