Statistics of two-dimensional random walks, the « cyclic sieving phenomenon » and the Hofstadter model
Stefan Mashkevich 1, 2 Stéphane Ouvry 3 Alexios Polychronakos 4 Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2015, 48, pp.405001 We focus on the algebraic area probability distribution of planar random walks on a square lattice with $m_1$, $m_2$, $l_1$ and $l_2$ steps right, left, up and down. We aim, in particular, at […]