The average distance on the Sierpiński gasket
type: Item
instance of: scholarly article
title: The average distance on the Sierpiński gasket
zbMATH Open document ID: 0688.60074
DOI: 10.1007/BF01217750
author: Andreas M. Hinz
author: Andreas Schief
publication date: 1990-01-01T00:00:00Z
review text: The canonical distance of points on the Sierpiński gasket is considered and its expectation deduced. The solution is surprising, both for the value and for the method derived from an analysis of graphs connected with the Tower of Hanoi problem.
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 60C05
Mathematics Subject Classification ID: 81S25
zbMATH DE Number: 4128208
zbMATH Keywords: fractal
zbMATH Keywords: average distance on the Sierpinski gasket
zbMATH Keywords: self-similarity argument
zbMATH Keywords: analysis of graphs
MaRDI profile type: Publication
cites work: Brownian motion on the Sierpinski gasket
cites work: Q5563135
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cites work: An analysis of the generalized Towers of Hanoi problem
cites work: The tower of Hanoi
cites work: Towers of hanoi graphs
cites work: Q4740120
cites work: A probabilistic analysis of an error-correcting algorithm for the Towers of Hanoi puzzle
full work available at URL: https://doi.org/10.1007/bf01217750
OpenAlex ID: W2006244227
published in: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
description: scientific article; zbMATH DE number 4128208