Hasan Akın

Universal hierarchical bifurcation and phase transitions in asymmetric Potts models on Cayley trees: exact enumeration for q=5,6,7 and a unified framework for arbitrary q

We investigate the hierarchical bifurcation and fixed-point structure of discrete-time dynamical systems arising from the q-state asymmetric Potts model on a Cayley tree of order k=2. For arbitrary q⩾3, the model reduces to a d=q−1-dimensional rational map. We derive a universal quadratic equation governing the fixed p...