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November 2002 Scenery reconstruction in two dimensions with many colors
Matthias Löwe, Heinrich Matzinger III
Ann. Appl. Probab. 12(4): 1322-1347 (November 2002). DOI: 10.1214/aoap/1037125865

Abstract

Kesten has observed that the known reconstruction methods of random sceneries seem to strongly depend on the one-dimensional setting of the problem and asked whether a construction still is possible in two dimensions. In this paper we answer this question in the affirmative under the condition that the number of colors in the scenery is large enough.

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Matthias Löwe. Heinrich Matzinger III. "Scenery reconstruction in two dimensions with many colors." Ann. Appl. Probab. 12 (4) 1322 - 1347, November 2002. https://doi.org/10.1214/aoap/1037125865

Information

Published: November 2002
First available in Project Euclid: 12 November 2002

zbMATH: 1018.60100
MathSciNet: MR1936595
Digital Object Identifier: 10.1214/aoap/1037125865

Subjects:
Primary: 28A99 , 60J15

Keywords: coloring , Random walk , Scenery

Rights: Copyright © 2002 Institute of Mathematical Statistics

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Vol.12 • No. 4 • November 2002
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