Volume distribution of nodal domains of random band-limited functions.
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ABSTRACT:
SUBMITTER: Beliaev D
PROVIDER: S-EPMC6191204 | biostudies-other | 2018
REPOSITORIES: biostudies-other
Publications
Volume distribution of nodal domains of random band-limited functions.
Beliaev Dmitry D Wigman Igor I
Probability theory and related fields 20171103 1
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. ...[more]
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