Abstract
In the last two decades there was a lot of progress in understanding the geometry of smooth Gaussian fields. This survey aims to cover one particular line of research: the large scale behaviour of level and excursion sets and their (conjectured) connection to Bernoulli percolation.
Acknowledgments
I would like to thank M. Lifshits for encouraging me to write this survey and S. Muirhead for valuable comments on the first draft. I am also grateful to the reviewer for careful reading of the manuscript and pointing out several references.
Citation
Dmitry Beliaev. "Smooth Gaussian fields and percolation." Probab. Surveys 20 897 - 937, 2023. https://doi.org/10.1214/23-PS24
Information
