Volume distribution of nodal domains of random band-limited functions
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...
| Veröffentlicht in: | Probability theory and related fields. - 1998. - 172(2018), 1 vom: 01., Seite 453-492 |
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| Format: | Online-Aufsatz |
| Sprache: | English |
| Veröffentlicht: |
2018
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| Zugriff auf das übergeordnete Werk: | Probability theory and related fields |
| Schlagworte: | Journal Article 35P20 58J50 60F99 |
| Zusammenfassung: | 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 |
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| Beschreibung: | Date Revised 01.10.2020 published: Print-Electronic Citation Status PubMed-not-MEDLINE |
| ISSN: | 0178-8051 |
| DOI: | 10.1007/s00440-017-0813-x |