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cond-mat.stat-mech2026
Field theories for Laplacian Growth
Paolo Pisapia, Assaf Shapira, Kay Joerg Wiese
Loop-erased random walks (LERW), the -model at and Laplacian random walks (LRW) are three realizations of the same random process. While this equivalence holds on an…
cond-mat.stat-mech2020
An exact mapping between loop-erased random walks and an interacting field theory with two fermions and one boson
Assaf Shapira, Kay Jörg Wiese
We give a simplified proof for the equivalence of loop-erased random walks to a lattice model containing two complex fermions, and one complex boson. This equivalence works on an a…