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Log-correlated Gaussian fields: an overview. (English) Zbl 1366.60023
Bost, Jean-Benoît (ed.) et al., Geometry, analysis and probability. In Honor of Jean-Michel Bismut. Selected papers based on the presentations at the conference ‘Control, index, traces and determinants – the journey of a probabilist’, Orsay, France, May 27–31, 2013. Basel: Birkhäuser/Springer (ISBN 978-3-319-49636-8/hbk; 978-3-319-49638-2/ebook). Progress in Mathematics 310, 191-216 (2017).
Summary: We survey the properties of the log-correlated Gaussian field (LGF), which is a centered Gaussian random distribution (generalized function) $$h$$ on $$\mathbb{R}^d$$, defined up to a global additive constant.
For the entire collection see [Zbl 1371.58001].

##### MSC:
 60D05 Geometric probability and stochastic geometry 60G22 Fractional processes, including fractional Brownian motion
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