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Two point function for critical points of a random plane wave

Abstract:

Random plane wave is conjectured to be a universal model for high-energy eigenfunctions of the Laplace operator on generic compact Riemannian manifolds. This is known to be true on average. In the present paper we discuss one of important geometric observable: critical points. We first compute one-point function for the critical point process, in particular we compute the expected number of critical points inside any open set. After that we compute the short-range asymptotic behaviour of the ...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's Version

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Publisher copy:
10.1093/imrn/rnx197

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Department:
St Annes College
Cammarota, V More by this author
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Funding agency for:
Cammarota, V
Publisher:
Oxford University Press Publisher's website
Journal:
International Mathematics Research Notices Journal website
Volume:
2019
Issue:
9
Pages:
2661–2689
Publication date:
2017-08-31
Acceptance date:
2017-07-21
DOI:
EISSN:
1687-0247
ISSN:
1687-3017
Pubs id:
pubs:724603
URN:
uri:4b31d639-4ba5-4b89-ae7a-b07dedc4e291
UUID:
uuid:4b31d639-4ba5-4b89-ae7a-b07dedc4e291
Local pid:
pubs:724603

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