Isoperimetric constants and estimates of heat kernels of pre Sierpinski carpets

Hirofumi Osada

doi:10.1007/BF01198170

Isoperimetric constants and estimates of heat kernels of pre Sierpinski carpets

Hirofumi Osada

研究成果: ジャーナルへの寄稿 › 学術誌 › 査読

16 被引用数 (Scopus)

抄録

The author calculated isoperimetric constants of the n-dimensional pre Sierpinski carpet Y_n. As an application, he obtained the following estimate of the Neumann heat kernel p_n (t, x, y) on Y_n;[Figure not available: see fulltext.] where {Mathematical expression}

本文言語	英語
ページ（範囲）	469-490
ページ数	22
ジャーナル	Probability Theory and Related Fields
巻	86
号	4
DOI	https://doi.org/10.1007/BF01198170
出版ステータス	出版済み - 12月 1 1990
外部発表	はい

!!!All Science Journal Classification (ASJC) codes

統計学および確率
分析
数学 (全般)

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10.1007/BF01198170

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abstract = "The author calculated isoperimetric constants of the n-dimensional pre Sierpinski carpet Yn. As an application, he obtained the following estimate of the Neumann heat kernel pn (t, x, y) on Yn;[Figure not available: see fulltext.] where {Mathematical expression}",

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AB - The author calculated isoperimetric constants of the n-dimensional pre Sierpinski carpet Yn. As an application, he obtained the following estimate of the Neumann heat kernel pn (t, x, y) on Yn;[Figure not available: see fulltext.] where {Mathematical expression}

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U2 - 10.1007/BF01198170

DO - 10.1007/BF01198170

M3 - Article

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JO - Probability Theory and Related Fields

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Isoperimetric constants and estimates of heat kernels of pre Sierpinski carpets

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!!!All Science Journal Classification (ASJC) codes

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