On the uniform equidistribution of closed horospheres in hyperbolic manifolds

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On the uniform equidistribution of closed horospheres in hyperbolic manifolds. / Södergren, Carl Anders.

I: Proceedings of the London Mathematical Society, Bind 105, Nr. 2, 2012, s. 225-280.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Södergren, CA 2012, 'On the uniform equidistribution of closed horospheres in hyperbolic manifolds', Proceedings of the London Mathematical Society, bind 105, nr. 2, s. 225-280. https://doi.org/10.1112/plms/pdr052

APA

Södergren, C. A. (2012). On the uniform equidistribution of closed horospheres in hyperbolic manifolds. Proceedings of the London Mathematical Society, 105(2), 225-280. https://doi.org/10.1112/plms/pdr052

Vancouver

Södergren CA. On the uniform equidistribution of closed horospheres in hyperbolic manifolds. Proceedings of the London Mathematical Society. 2012;105(2):225-280. https://doi.org/10.1112/plms/pdr052

Author

Södergren, Carl Anders. / On the uniform equidistribution of closed horospheres in hyperbolic manifolds. I: Proceedings of the London Mathematical Society. 2012 ; Bind 105, Nr. 2. s. 225-280.

Bibtex

@article{0297f22846fe47c4987b5df38ee51ccc,
title = "On the uniform equidistribution of closed horospheres in hyperbolic manifolds",
abstract = "We prove asymptotic equidistribution results for pieces of large closed horospheres in cofinite hyperbolic manifolds of arbitrary dimension. This extends earlier results by Hejhal [{\textquoteleft}On the uniform equidistribution of long closed horocycles{\textquoteright}, Loo-Keng Hua: a great mathematician of the twentieth century, Asian J. Math. 4 (2000) 839–853] and Str{\"o}mbergsson [{\textquoteleft}On the uniform equidistribution of long closed horocycles{\textquoteright}, Duke Math. J. 123 (2004) 507–547] in dimension 2. Our proofs use spectral methods, and lead to precise estimates on the rate of convergence to equidistribution.",
author = "S{\"o}dergren, {Carl Anders}",
year = "2012",
doi = "10.1112/plms/pdr052",
language = "English",
volume = "105",
pages = "225--280",
journal = "Proceedings of the London Mathematical Society",
issn = "0024-6115",
publisher = "Oxford University Press",
number = "2",

}

RIS

TY - JOUR

T1 - On the uniform equidistribution of closed horospheres in hyperbolic manifolds

AU - Södergren, Carl Anders

PY - 2012

Y1 - 2012

N2 - We prove asymptotic equidistribution results for pieces of large closed horospheres in cofinite hyperbolic manifolds of arbitrary dimension. This extends earlier results by Hejhal [‘On the uniform equidistribution of long closed horocycles’, Loo-Keng Hua: a great mathematician of the twentieth century, Asian J. Math. 4 (2000) 839–853] and Strömbergsson [‘On the uniform equidistribution of long closed horocycles’, Duke Math. J. 123 (2004) 507–547] in dimension 2. Our proofs use spectral methods, and lead to precise estimates on the rate of convergence to equidistribution.

AB - We prove asymptotic equidistribution results for pieces of large closed horospheres in cofinite hyperbolic manifolds of arbitrary dimension. This extends earlier results by Hejhal [‘On the uniform equidistribution of long closed horocycles’, Loo-Keng Hua: a great mathematician of the twentieth century, Asian J. Math. 4 (2000) 839–853] and Strömbergsson [‘On the uniform equidistribution of long closed horocycles’, Duke Math. J. 123 (2004) 507–547] in dimension 2. Our proofs use spectral methods, and lead to precise estimates on the rate of convergence to equidistribution.

U2 - 10.1112/plms/pdr052

DO - 10.1112/plms/pdr052

M3 - Journal article

VL - 105

SP - 225

EP - 280

JO - Proceedings of the London Mathematical Society

JF - Proceedings of the London Mathematical Society

SN - 0024-6115

IS - 2

ER -

ID: 126295150