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math.PR2022
Prudent walk in dimension six and higher
Markus Heydenreich, Lorenzo Taggi, Niccolo Torri
We study the high-dimensional uniform prudent self-avoiding walk, which assigns equal probability to all nearest-neighbor self-avoiding paths of a fixed length that respect the pru…
math.PR2022★ 9 cited
Macroscopic loops in the Bose gas, Spin O(N) and related models
Alexandra Quitmann, Lorenzo Taggi
We consider a general system of interacting random loops which includes several models of interest, such as the Spin O(N) model, random lattice permutations, a version of the inter…