Field theories for loop-erased random walks
Sign Up to like & getrecommendations! Published in 2019 at "Nuclear Physics B"
DOI: 10.1016/j.nuclphysb.2019.114696
Abstract: Abstract Self-avoiding walks (SAWs) and loop-erased random walks (LERWs) are two ensembles of random paths with numerous applications in mathematics, statistical physics and quantum field theory. While SAWs are described by the n → 0… read more here.
Keywords: loop erased; erased random; theory; field ... See more keywords
One-point function estimates for loop-erased random walk in three dimensions
Sign Up to like & getrecommendations! Published in 2019 at "Electronic Journal of Probability"
DOI: 10.1214/19-ejp361
Abstract: In this work, we consider loop-erased random walk (LERW) in three dimensions and give an asymptotic estimate on the one-point function for LERW and the non-intersection probability of LERW and simple random walk in three… read more here.
Keywords: loop erased; erased random; three dimensions; point function ... See more keywords
The infinite two-sided loop-erased random walk
Sign Up to like & getrecommendations! Published in 2020 at "Electronic Journal of Probability"
DOI: 10.1214/20-ejp476
Abstract: The loop-erased random walk (LERW) in $ \Z^d, d \geq 2$, is obtained by erasing loops chronologically from simple random walk. In this paper we show the existence of the two-sided LERW which can be… read more here.
Keywords: loop erased; erased random; two sided; random walk ... See more keywords