Asymptotic distribution of critical values

Tomohiro Fukaya; Masaki Tsukamoto

doi:10.1007/s10711-009-9372-3

Asymptotic distribution of critical values

Tomohiro Fukaya, Masaki Tsukamoto

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We study the asymptotic distribution of the critical values of f_n as n goes to infinity. Let X be a closed manifold and f: X × X → ℝ be a smooth function. Define.

Original language	English
Pages (from-to)	63-67
Number of pages	5
Journal	Geometriae Dedicata
Volume	143
Issue number	1
DOIs	https://doi.org/10.1007/s10711-009-9372-3
Publication status	Published - Jan 2009
Externally published	Yes

All Science Journal Classification (ASJC) codes

Geometry and Topology

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10.1007/s10711-009-9372-3

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title = "Asymptotic distribution of critical values",

abstract = "We study the asymptotic distribution of the critical values of fn as n goes to infinity. Let X be a closed manifold and f: X × X → ℝ be a smooth function. Define.",

author = "Tomohiro Fukaya and Masaki Tsukamoto",

note = "Funding Information: T. Fukaya and M. Tsukamoto were supported by Grant-in-Aid for JSPS Fellows (19·3177) and (19·1530), respectively, from Japan Society for the Promotion of Science.",

year = "2009",

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doi = "10.1007/s10711-009-9372-3",

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AU - Tsukamoto, Masaki

N1 - Funding Information: T. Fukaya and M. Tsukamoto were supported by Grant-in-Aid for JSPS Fellows (19·3177) and (19·1530), respectively, from Japan Society for the Promotion of Science.

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N2 - We study the asymptotic distribution of the critical values of fn as n goes to infinity. Let X be a closed manifold and f: X × X → ℝ be a smooth function. Define.

AB - We study the asymptotic distribution of the critical values of fn as n goes to infinity. Let X be a closed manifold and f: X × X → ℝ be a smooth function. Define.

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DO - 10.1007/s10711-009-9372-3

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SN - 0046-5755

VL - 143

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EP - 67

JO - Geometriae Dedicata

JF - Geometriae Dedicata

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Asymptotic distribution of critical values

Abstract

All Science Journal Classification (ASJC) codes

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