Monochromatic Random Waves for General Riemannian Manifolds

Monochromatic Random Waves for General Riemannian Manifolds
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一般黎曼流形的单色随机波

DOI:
10.1007/978-3-030-56409-4_1
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发表时间:
2020
影响因子:
2.4
通讯作者:
Y. Canzani
Y. Canzani
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Y. Canzani

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This is a survey article on some of the recent developments on monochromatic random waves defined for general Riemannian manifolds. We discuss the conditions needed for the waves to have a universal scaling limit, we review statistics for the size of their zero set and the number of their critical points, and we discuss the structure of their zero set as described by the diffeomorphism types and the nesting configurations of its components.
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