2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/27136We consider the temporal evolution of strong correlated degrees of freedom in $2+1$~$D$ spin systems using the Wilson operator eigenvalues as variables. It is shown that the quantum-group diffusion equation at deformation parameter $q$ being the $k$-th root of unity has the polynomial solution of degree $k$.Condensed MatterHigh Energy Physics - TheoryQuantum Group Random Walks in Strongly Correlated $2+1$ $D$ Spin Systemstext