论文标题

高斯田地和渗透率

Gaussian fields and percolation

论文作者

Beliaev, Dmitry

论文摘要

在过去的二十年中,了解光滑高斯田地的几何形状取得了很大的进步。该调查旨在涵盖一项特定的研究线:水平和游览集的大规模行为及其与渗透理论的(猜想)的联系。

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 the percolation theory.

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