On some deterministic version of the random walk on $\mathbb{Z}^d$
De Dalia Terhesiu
From connecting the dots to conjugacy of dynamical systems
De Pierre Arnoux
Apparaît dans la collection : Multidimensional symbolic dynamics and lattice models of quasicrystals / Dynamique symbolique multidimensionnelle et modèles de quasi-cristaux sur réseau
We discuss various mechanisms for generating phase transitions on compact symbolic systems in one dimension. We present several results, classical and recent, concerning the number and frequency of phase transitions, as well as the existence of freezing phase transitions. In the latter case we focus on the type of potentials which would trigger a freezing phase transition and the support of the resulting ground state.