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

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

16 Citations (Scopus)

Abstract

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}

Original language	English
Pages (from-to)	469-490
Number of pages	22
Journal	Probability Theory and Related Fields
Volume	86
Issue number	4
DOIs	https://doi.org/10.1007/BF01198170
Publication status	Published - Dec 1990
Externally published	Yes

All Science Journal Classification (ASJC) codes

Analysis
Statistics and Probability
Statistics, Probability and Uncertainty

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10.1007/BF01198170

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title = "Isoperimetric constants and estimates of heat kernels of pre Sierpinski carpets",

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\}",

author = "Hirofumi Osada",

year = "1990",

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doi = "10.1007/BF01198170",

language = "English",

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AU - Osada, Hirofumi

PY - 1990/12

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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

AN - SCOPUS:0000529691

SN - 0178-8051

VL - 86

SP - 469

EP - 490

JO - Probability Theory and Related Fields

JF - Probability Theory and Related Fields

IS - 4

ER -

Isoperimetric constants and estimates of heat kernels of pre Sierpinski carpets

Abstract

All Science Journal Classification (ASJC) codes

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