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Distribution of shapes of orthogonal lattices (Q5376548)

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scientific article; zbMATH DE number 7053899

Language	Label	Description	Also known as
English	Distribution of shapes of orthogonal lattices	scientific article; zbMATH DE number 7053899

Statements

scholarly article

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Distribution of shapes of orthogonal lattices (English)

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Manfred Einsiedler

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Ergodic Theory and Dynamical Systems

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publication date

13 May 2019

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full work available at URL

https://arxiv.org/abs/1609.03070

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zbMATH Keywords

effective equidistribution

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unipotent flows

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spaces of lattices

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MaRDI profile type

MaRDI publication profile

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Integer points on spheres and their orthogonal grids

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Integer points on spheres and their orthogonal lattices

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Finiteness theorems for discrete subgroups of bounded covolume in semi- simple groups

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Asymptotic behaviour of trajectories of unipotent flows on homogeneous spaces

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Hyperbolic distribution problems and half-integral weight Maass forms

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Effective equidistribution and property (𝜏)

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Equidistribution of primitive rational points on expanding horospheres

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Effective equidistribution for closed orbits of semisimple groups on homogeneous spaces

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Local-global principles for representations of quadratic forms

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Manin’s and Peyre’s conjectures on rational points and adelic mixing

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Rational points on homogeneous varieties and equidistribution of adelic periods (with appendix by Mikhail Borovoi)

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Fourier coefficients of modular forms of half-integral weight

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Flows on homogeneous spaces and Diophantine approximation on manifolds

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Flows on \(S\)-arithmetic homogeneous spaces and applications to metric Diophantine approximation

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Über die Verteilung der zweidimensionalen Untergitter in einem euklidischen Gitter. (On the distribution of the two-dimensional sublattices in an Euclidean Lattice)

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The asymptotic distribution of Frobenius numbers

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On the space of ergodic invariant measures of unipotent flows

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

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Uniform pointwise bounds for matrix coefficients of unitary representations and applications to Kazhdan constants

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A.D. Alexandrov spaces with curvature bounded below

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Volumes of S-arithmetic quotients of semi-simple groups. With an appendix by Moshe Jarden and Gopal Prasad

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The distribution of sublattices of \(\mathbb{Z}^m\)

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Sparse equidistribution problems, period bounds and subconvexity

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Identifiers

zbMATH Open document ID

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10.1017/etds.2017.78

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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:5376548

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