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2009 Erratum to ``Number Variance from a probabilistic perspective, infinite systems of independent Brownian motions and symmetric $\alpha$-stable processes"
Ben Hambly, Lisa Jones
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Electron. J. Probab. 14: 1074-1079 (2009). DOI: 10.1214/EJP.v14-658

Abstract

In our original paper, we provide an expression for the variance of the counting functions associated with the spatial particle configurations formed by infinite systems of independent symmetric alpha-stable processes. The formula (2.3) of the original paper, is in fact the correct expression for the expected conditional number variance. This is equal to the full variance when L is a positive integer multiple of the parameter a but, in general, the full variance has an additional bounded fluctuating term. The main results of the paper still hold for the full variance itself, although some of the proofs require modification in order to incorporate this change.

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Ben Hambly. Lisa Jones. "Erratum to ``Number Variance from a probabilistic perspective, infinite systems of independent Brownian motions and symmetric $\alpha$-stable processes"." Electron. J. Probab. 14 1074 - 1079, 2009. https://doi.org/10.1214/EJP.v14-658

Information

Accepted: 26 May 2009; Published: 2009
First available in Project Euclid: 1 June 2016

zbMATH: 1196.60088
MathSciNet: MR2506125
Digital Object Identifier: 10.1214/EJP.v14-658

Subjects:
Primary: 60G52
Secondary: 60G15

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Vol.14 • 2009
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