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...

Descripción completa

Detalles Bibliográficos
Autores principales: Beliaev, Dmitry, Wigman, Igor
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2017
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6191204/
https://www.ncbi.nlm.nih.gov/pubmed/30393417
http://dx.doi.org/10.1007/s00440-017-0813-x
_version_ 1783363678859427840
author Beliaev, Dmitry
Wigman, Igor
author_facet Beliaev, Dmitry
Wigman, Igor
author_sort Beliaev, Dmitry
collection PubMed
description 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.
format Online
Article
Text
id pubmed-6191204
institution National Center for Biotechnology Information
language English
publishDate 2017
publisher Springer Berlin Heidelberg
record_format MEDLINE/PubMed
spelling pubmed-61912042018-10-31 Volume distribution of nodal domains of random band-limited functions Beliaev, Dmitry Wigman, Igor Probab Theory Relat Fields Article 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. Springer Berlin Heidelberg 2017-11-03 2018 /pmc/articles/PMC6191204/ /pubmed/30393417 http://dx.doi.org/10.1007/s00440-017-0813-x Text en © The Author(s) 2017 Open AccessThis 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.
spellingShingle Article
Beliaev, Dmitry
Wigman, Igor
Volume distribution of nodal domains of random band-limited functions
title Volume distribution of nodal domains of random band-limited functions
title_full Volume distribution of nodal domains of random band-limited functions
title_fullStr Volume distribution of nodal domains of random band-limited functions
title_full_unstemmed Volume distribution of nodal domains of random band-limited functions
title_short Volume distribution of nodal domains of random band-limited functions
title_sort volume distribution of nodal domains of random band-limited functions
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6191204/
https://www.ncbi.nlm.nih.gov/pubmed/30393417
http://dx.doi.org/10.1007/s00440-017-0813-x
work_keys_str_mv AT beliaevdmitry volumedistributionofnodaldomainsofrandombandlimitedfunctions
AT wigmanigor volumedistributionofnodaldomainsofrandombandlimitedfunctions

Ejemplares similares