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- W2407615784 abstract "We initiate the study on chemical distances of percolation clusters for level sets of two-dimensional discrete Gaussian free fields as well as loop clusters generated by two-dimensional random walk loop soups. One of our results states that the chemical distance between two macroscopic annuli away from the boundary for the random walk loop soup at the critical intensity is of dimension 1 with positive probability. Our proof method is based on an interesting combination of a theorem of Makarov, isomorphism theory and an entropic repulsion estimate for Gaussian free fields in the presence of a hard wall." @default.
- W2407615784 created "2016-06-24" @default.
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- W2407615784 date "2016-05-14" @default.
- W2407615784 modified "2023-09-24" @default.
- W2407615784 title "Chemical distances for level-set percolation of two-dimensional discrete Gaussian free fields" @default.
- W2407615784 hasPublicationYear "2016" @default.
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