Avelio Sepúlveda (Santiago)

will speak on

Level sets of the Gaussian free field

Time: 3:00PM
Date: Wed 3rd March 2021
Location: Online [map]

Abstract: We will study the level sets of the two-dimensional continuum Gaussian free field. These are conformally invariant fractal sets that have played a key role in the modern understanding of the geometric properties of the Gaussian free field and the Liouville measure. In this talk, I will present their axiomatic definition, give an idea of their construction, and discuss some of their main geometrical properties: their fractal dimension; and the connectivity properties of them and the loops they form. This talk is based on joint works with Juhan Aru, Titus Lupu, Lukas Schoug, Fredrik Viklund and Wendelin Werner.

Zoom Link:
https://ucd-ie.zoom.us/j/83491228915?pwd=WWV3ZkNGNzVXdGxLRlR0dkdMYUtMZz09

Meeting ID: 834 9122 8915
Passcode: 698437

(This talk is part of the Probability series.)

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