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Rigidity of multiparameter actions (Q814140)

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Language	Label	Description	Also known as
English	Rigidity of multiparameter actions	scientific article

Statements

scholarly article

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Rigidity of multiparameter actions (English)

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Elon Lindenstrauss

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Israel Journal of Mathematics

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publication date

6 February 2006

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full work available at URL

https://arxiv.org/abs/math/0402165

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MaRDI profile type

MaRDI publication profile

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ENTROPY, A COMPLETE METRIC INVARIANT FOR AUTOMORPHISMS OF THE TORUS

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Multi-Invariant Sets on Tori

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Multi-Invariant Sets on Compact Abelian Groups

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Entropy of quantum limits

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Ergodicity and eigenfunctions of the Laplacian

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On the product of three homogeneous linear forms and indefinite ternary quadratic forms

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Values of quadratic forms at integral points: An elementary approach

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Invariant measures on <i>G</i>/Γ for split simple Lie groups <i>G</i>

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Invariant measures and the set of exceptions to Littlewood's conjecture

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Rigidity properties of ℤ^{𝕕}-actions on tori and solenoids

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A generalization of a result of R. Lyons about measures on \([0,1)\)

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Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation

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Normal numbers, entropy, translations

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Some results of uniform distribution in the multidimensional torus

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Ergodic theorem without invariant measure

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Equidistribution of cusp forms on \(\text{PSL}_ 2({\mathbb{Z}})\setminus \text{PSL}_ 2({\mathbb{R}})\)

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Measures on the circle invariant under multiplication by a nonlacunary subsemigroup of the integers

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Convergence under \(\times_q\) of \(\times_p\) invariant measures on the circle

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Measurable rigidity and disjointness for {\mathbb Z}^k actions by toral automorphisms

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Rigidity of measurable structure for \(\mathbb Z^d\)-actions by automorphisms of a torus

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Rigidity of the measurable structure for algebraic actions of higher-rank Abelian groups

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Invariant measures for higher-rank hyperbolic abelian actions

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Arithmetic construction of sofic partitions of hyperbolic toral automorphisms

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\(p\)-adic foliation and equidistribution

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Entropy of convolutions on the circle

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Quantum ergodicity of eigenfunctions on \(\text{PSL}_ 2(\mathbb{Z}) \backslash H^ 2\)

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Invariant sets and measures of nonexpansive group automorphisms

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On sets invariant under the action of the diagonal group

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On measures simultaneously 2- and 3-invariant

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Entropy and uniform distribution of orbits in \(\mathbb{T}^d\)

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On closures of orbits and arithmetic of quaternions

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Actions of Cartan subgroups

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Bi-invariant sets and measures have integer Hausdorff dimension

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Invariant measures for actions of unipotent groups over local fields on homogeneous spaces

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Entropy and isomorphism theorems for actions of amenable groups

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Factors of horocycle flows

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Rigidity of horocycle flows

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Horocycle flows, joinings and rigidity of products

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On Raghunathan's measure conjecture

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Raghunathan's topological conjecture and distributions of unipotent flows

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Raghunathan's conjectures for \(SL(2,{\mathbb{R}{}})\)

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The behaviour of eigenstates of arithmetic hyperbolic manifolds

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×2 and ×3 invariant measures and entropy

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Estimates for Rankin-Selberg \(L\)-functions and quantum unique ergodicity

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Dynamical systems of algebraic origin

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Algebraic coding of expansive group automorphisms and two-sided beta-shifts

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Bijective coding of automorphisms of the torus and binary quadratic forms

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Closed orbits for actions of maximal tori on homogeneous spaces

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The modulus of continuity for \(\Gamma_0(m)\backslash{\mathbb H}\) semi-classical limits

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Uniform distribution of eigenfunctions on compact hyperbolic surfaces

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Identifiers

zbMATH Open document ID

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10.1007/BF02772541

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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:814140

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