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 Electronic Journal of Probability > Vol. 14 (2009) > Paper 37 open journal systems 


Erratum to ``Number Variance from a probabilistic perspective, infinite systems of independent Brownian motions and symmetric $alpha$-stable processes"

Ben M Hambly, University of Oxford
Lisa M Jones, University of Oxford


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.


Full text: PDF

Pages: 1074-1079

Published on: May 26, 2009
Bibliography
  1. Ben Hambly and Liza Jones. Number variance from a probabilistic perspective: infinite systems of independent {B}rownian motions and symmetric alpha-stable processes. Electron. J. Probab., 12:no. 30, 862--887 (electronic), 2007. Math. Review 2008g:60144
  2. K. Johansson. Determinantal processes with number variance saturation. Comm. Math. Phys. , 252(1-3):111--148, 2004. Math. Review 2006b:82110
















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Electronic Journal of Probability. ISSN: 1083-6489