Speaker
Aleksandra Korzhenkova
(EPFL)
Description
Motivated by understanding the behavior of spin $O(N)$ models at low temperature, we study the law of the discrete vector-valued 2D Gaussian Free Field conditioned to avoid an N-dimensional ball. In this talk, I will explain the connection between these two types of objects and focus on the case of spin dimension $N = 1$. In this case, the phenomenon of entropic repulsion emerges, along with an ordering of the signs of the conditioned field. I will sketch the proof of this behavior.
Joint work with A. Sepúlveda.
Author
Aleksandra Korzhenkova
(EPFL)