×

zbMATH — the first resource for mathematics

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
PDF BibTeX Cite
Full Text: DOI arXiv