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

5 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 1 1990
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistics and Probability
Analysis
Mathematics(all)

Access to Document

10.1007/BF01198170

Cite this

@article{34751c8bac464d4fb36ffd35c6cf91a3,

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",

month = dec,

day = "1",

doi = "10.1007/BF01198170",

language = "English",

volume = "86",

pages = "469--490",

journal = "Probability Theory and Related Fields",

issn = "0178-8051",

publisher = "Springer New York",

number = "4",

}

TY - JOUR

T1 - Isoperimetric constants and estimates of heat kernels of pre Sierpinski carpets

AU - Osada, Hirofumi

PY - 1990/12/1

Y1 - 1990/12/1

N2 - 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}

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}

UR - http://www.scopus.com/inward/record.url?scp=0000529691&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000529691&partnerID=8YFLogxK

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

Access to Document

Other files and links

Fingerprint

Cite this