Area distribution of two-dimensional random walks and non Hermitian Hofstadter quantum mechanics
Sergey Matveenko 1, 2 Stephane Ouvry 2 Journal of Physics A: Mathematical and Theoretical, Institute of Physics: Hybrid Open Access, 2014, 47, pp.185001 When random walks on a square lattice are biased horizontally to move solely to the right, the probability distribution of their algebraic area can be exactly obtained. We explicitly map this biased […]