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.
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