Journal article
Volume distribution of nodal domains of random band-limited functions
- Abstract:
- We study the volume distribution of nodal domains of families of naturally arising Gaussian random fields on generic manifolds, namely random band-limited functions. It is found that in the high energy limit a typical instance obeys a deterministic universal law, independent of the manifold. Some of the basic qualitative properties of this law, such as its support, monotonicity and continuity of the cumulative probability function, are established.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
- Version:
- Publisher's version
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- Files:
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(pdf, 737.4KB)
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- Publisher copy:
- 10.1007/s00440-017-0813-x
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Authors
Bibliographic Details
- Publisher:
- springer Verlag Publisher's website
- Journal:
- Probability Theory and Related Fields Journal website
- Volume:
- 172
- Issue:
- 1-2
- Pages:
- 453–492
- Publication date:
- 2017-11-03
- Acceptance date:
- 2017-10-10
- DOI:
- EISSN:
-
1432-2064
- ISSN:
-
0178-8051
- Pubs id:
-
pubs:631522
- URN:
-
uri:d05cc012-de8e-4d9f-9671-a0e63998f7fe
- UUID:
-
uuid:d05cc012-de8e-4d9f-9671-a0e63998f7fe
- Local pid:
- pubs:631522
Terms of use
- Copyright holder:
- Beliaev and Wigman
- Copyright date:
- 2017
- Notes:
- © Beliaev and Wigman 2017. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
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