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Discretisation schemes for level sets of planar Gaussian fields

Abstract:

Smooth random Gaussian functions play an important role in mathematical physics, a main example being the random plane wave model conjectured by Berry to give a universal description of high-energy eigenfunctions of the Laplacian on generic compact manifolds. Our work is motivated by questions about the geometry of such random functions, in particular relating to the structure of their nodal and level sets. We study four discretisation schemes that extract information about level sets of plan...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/s00220-018-3084-1

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Role:
Author
More from this funder
Funding agency for:
Beliaev, D
Grant:
EP/M002896/1
Publisher:
Springer Verlag Publisher's website
Journal:
Communications in Mathematical Physics Journal website
Volume:
359
Issue:
3
Pages:
869–913
Publication date:
2018-01-29
Acceptance date:
2017-11-28
DOI:
EISSN:
1432-0916
ISSN:
0010-3616
Keywords:
Pubs id:
pubs:679542
UUID:
uuid:8db2cfd6-5788-412e-945e-7b82a5fbb00d
Local pid:
pubs:679542
Source identifiers:
679542
Deposit date:
2017-12-19

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