There is a large variety of quantum and classical systems in which the quenched disorder
plays a dominant rôle over quantum, thermal, or stochastic fluctuations: these systems …

Critical phenomena arise in a wide variety of physical systems. Classi cal examples are the
liquid-vapour critical point or the paramagnetic ferromagnetic transition. Further examples …

We study the Brownian motion of a classical particle in one-dimensional inhomogeneous
environments where the transition probabilities follow quasiperiodic or aperiodic …

We study thermodynamic properties, surface magnetization, specific heat and susceptibility
of XYquantum chains with coupling constants following arbitrary substitution sequences …

We consider the Ising model and the directed walk on two-dimensional layered lattices and
show that the two problems are inherently related: The zero-field thermodynamical …

We consider several aspects of non-periodic Ising models in one and two dimensions. Here
we are not interested in random systems, but rather in models with intrinsic long-range …

We investigate the critical behavior of the two-dimensional 8-state Potts model with an
aperiodic distribution of the exchange interactions between nearest-neighbor rows. The …

Log-periodic amplitudes of the surface magnetization are calculated analytically for two Ising
quantum chains with aperiodic modulations of the couplings. The oscillating behaviour is …

We consider layered two-dimensional Ising and directed walk models and show that the two
problems are inherently related. The information about the zero-field thermodynamical …

We write the exact renormalization-group recursion relations for nearest-neighbor
ferromagnetic Ising models on Migdal–Kadanoff hierarchical lattices with a distribution of …