Branching Paths
Motivation: Similiaities between phase transitions in q-state Potts models with random bonds in 2d.
"Unusual universality of branching interfaces in random media," [offline]
M. Kardar, A. Stella, G. Sartoni, & B. Derrida, Phys. Rev. E 52, R1269 (1995)
Developed a simplified model if Branching Interfaces, and examined its behavior in presence of random bonds.
Extremal branching paths can also be studied on Euclidean lattices.