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Equidistribution theorem
Known as:
Weyl's equidistribution theorem
In mathematics, the equidistribution theorem is the statement that the sequence a, 2a, 3a, ... mod 1 is uniformly distributed on the circle , when a…
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Related topics
Related topics
5 relations
Equidistributed sequence
Ergodic theory
Low-discrepancy sequence
Measure-preserving dynamical system
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Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2018
2018
Equidistribution des sous-variétés de petite hauteur
2018
Corpus ID: 262020705
In this paper, the equidistribution theorem of Szpiro-Ullmo-Zhang about sequences of small points in an abelian variety is…
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2016
2016
Weyl ’ s equidistribution theorem for linear and quadratic polynomials
Sayantan Khan
2016
Corpus ID: 53451657
If p(x) is the polynomial ax, where a is an irrational number, then it’s not very difficult to show that the orbit is dense in [0…
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2016
2016
A pr 2 01 6 AN EQUIDISTRIBUTION THEOREM FOR HOLOMORPHIC SIEGEL MODULAR FORMS FOR GSp 4 AND ITS APPLICATIONS
Henry H. Kim
,
S. Wakatsuki
,
Takuya Yamauchi
2016
Corpus ID: 123787840
We prove an equidistribution theorem for a family of holomorphic Siegel cusp forms for GSp4/Q in various aspects. A main tool is…
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2015
2015
Quasi-adelic measures and equidistribution on $\mathbb{P}^1$
N. Mavraki
,
Hexi Ye
2015
Corpus ID: 262823140
We generalize adelic measure to quasi-adelic measure on $\mathbb{P}^1$, and show that arithmetic equidistribution of small points…
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2012
2012
On totally real numbers and equidistribution
Paul Fili
,
Zachary Miner
2012
Corpus ID: 119160425
C.J. Smyth and later Flammang studied the spectrum of the Weil height in the field of all totally real numbers, establishing both…
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Review
2009
Review
2009
Stanford Department of Mathematics Colloquium A p-adic approach to Hilbert ’ s 12 th problem
S. Dasgupta
2009
Corpus ID: 41202877
It is classical that the square root of any integer can be written as a linear combination of roots of unity. A generalization of…
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Review
2008
Review
2008
Th\'eor\`emes d'\'equidistribution pour les syst\`emes dynamiques d'origine arithm\'etique
Antoine Chambert-Loir
2008
Corpus ID: 115170797
This survey article is about algebraic dynamics. It is mainly concerned by the arithmetic equidistribution theorems featured by…
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2008
2008
2 9 Ja n 20 08 Equidistribution over function fields
Walter Gubler
2008
Corpus ID: 380608
We prove equidistribution of a generic net of small points in a projective variety X over a function field K. For an algebraic…
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2002
2002
Equidistribution of holonomy restricted to a homology class about closed geodesics
Kazufumi Kimoto
,
M. Wakayama
2002
Corpus ID: 59495388
The purpose of this paper is, for each homology class, to prove the equidistribution theorem of restricted holonomy classes about…
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2001
2001
Sato-Tate Equidistribution of Kurlberg-Rudnick Sums
N. M. Katz
2001
Corpus ID: 17304816
Su u u um m m mm m m ma a a ar r r ry y y y We prove equidistribution results for certain exponential sums that arise in the work…
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