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Quantum Unique Ergodicity of Degener...

Zhang, Liyang.

Quantum Unique Ergodicity of Degenerate Eisenstein Series on GL(n).

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	Quantum Unique Ergodicity of Degenerate Eisenstein Series on GL(n)./
Author:	Zhang, Liyang.
Description:	1 online resource (98 pages)
Notes:	Source: Dissertation Abstracts International, Volume: 78-11(E), Section: B.
Contained By:	Dissertation Abstracts International78-11B(E).
Subject:	Mathematics. -
Online resource:	click for full text (PQDT)
ISBN:	9780355028478

Quantum Unique Ergodicity of Degenerate Eisenstein Series on GL(n).
Zhang, Liyang.

Quantum Unique Ergodicity of Degenerate Eisenstein Series on GL(n). - 1 online resource (98 pages)

Source: Dissertation Abstracts International, Volume: 78-11(E), Section: B.

Thesis (Ph.D.)

Includes bibliographical references

In the area of quantum chaos, it is of great interest to investigate the distribution of the L2-mass of the eigenfunctions of the Laplacian for a given Riemannian manifold as the eigenvalues tend to infinity. Luo and Sarnak first formulated and proved quantum unique ergodicity of Eisenstein series on SL(2, Z )\GL(2, R )/O(2, R ) · R x.In this dissertation, we extend the result of Luo and Sarnak and prove quantum unique ergodicity for a subspace of the continuous spectrum spanned by the degenerate Eisenstein Series on GL( n). We also establish a connection between QUE of non-degenerate Eisenstein series on GL(3) with shifted convolution sums.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9780355028478Subjects--Topical Terms:

527692
Mathematics.
Index Terms--Genre/Form:

554714
Electronic books.

Quantum Unique Ergodicity of Degenerate Eisenstein Series on GL(n).
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099 $a TUL $f hyy $c available through World Wide Web
100 1 $a Zhang, Liyang. $3 1180924
245 1 0 $a Quantum Unique Ergodicity of Degenerate Eisenstein Series on GL(n).
264 0 $c 2017
300 $a 1 online resource (98 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a Source: Dissertation Abstracts International, Volume: 78-11(E), Section: B.
500 $a Adviser: Alex Kontorovich.
502 $a Thesis (Ph.D.) $c Yale University $d 2017.
504 $a Includes bibliographical references
520 $a In the area of quantum chaos, it is of great interest to investigate the distribution of the L2-mass of the eigenfunctions of the Laplacian for a given Riemannian manifold as the eigenvalues tend to infinity. Luo and Sarnak first formulated and proved quantum unique ergodicity of Eisenstein series on SL(2, Z )\GL(2, R )/O(2, R ) · R x.In this dissertation, we extend the result of Luo and Sarnak and prove quantum unique ergodicity for a subspace of the continuous spectrum spanned by the degenerate Eisenstein Series on GL( n). We also establish a connection between QUE of non-degenerate Eisenstein series on GL(3) with shifted convolution sums.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Mathematics. $3 527692
655 7 $a Electronic books. $2 local $3 554714
690 $a 0405
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a Yale University. $3 1178968
773 0 $t Dissertation Abstracts International $g 78-11B(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10632598 $z click for full text (PQDT)

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