Article ID Journal Published Year Pages File Type
1153800 Statistics & Probability Letters 2009 10 Pages PDF
Abstract

In this paper we use coupling arguments to prove a discrete 1-dimensional version of the Laugesen–Morpurgo conjecture. As an application, we derive a probabilistic proof of the 1-dimensional Laugesen–Morpurgo conjecture (for the 1-dimensional reflecting Brownian motion).

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Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
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On a discrete version of the Laugesen–Morpurgo conjecture
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