Juhan Aru, Avelio SepĆ¹lveda: Percolation for 2D classical Heisenberg model and exit sets of vector valued GFF


We will report on our joint work with C. Garban and try to do it form the point of view of percolation. In this perspective, we study the level set percolation of the vector-valued discrete GFF and revisit some percolation-related arguments concerning the conjectured exponential decay of correlations in the classical Heisenberg model. Different relations between the DGFF and O(N) model will be used. The first half is mainly chit-chat about context and results, the second half explains some ideas and observations.



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