Isoperimetric constants and estimates of heat kernels of pre Sierpinski carpets

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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}

Original languageEnglish
Pages (from-to)469-490
Number of pages22
JournalProbability Theory and Related Fields
Volume86
Issue number4
DOIs
Publication statusPublished - Dec 1 1990
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Analysis
  • Mathematics(all)

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