In this article we review classical and recent results in anomalous diffusion and provide
mechanisms useful for the study of the fundamentals of certain processes, mainly in …

We propose two new kinds of infinite resistor networks based on the Fibonacci sequence: a
serial association of resistor sets connected in parallel (type 1) or a parallel association of …

Fractal properties on self-affine surfaces of films growing under nonequilibrium conditions
are important in understanding the corresponding universality class. However …

Growth in crystals can be usually described by field equations such as the Kardar-Parisi-
Zhang (KPZ) equation. While the crystalline structure can be characterized by Euclidean …

The dynamical regimes of models belonging to the Kardar-Parisi-Zhang (KPZ) universality
class are investigated in d= 2+ 1 by extensive simulations considering flat and curved …

Abstract The Kardar-Parisi-Zhang (KPZ) equation has been connected to a large number of
important stochastic processes in physics, chemistry and growth phenomena, ranging from …

A connection between the global roughness exponent and the fractal dimension of a rough
interface, whose dynamics are expected to be described by stochastic continuum models …

We analyze simulation results of a model proposed for etching of a crystalline solid and
results of other discrete models in the (2+ 1)-dimensional Kardar-Parisi-Zhang (KPZ) class …

Abstract The Family–Vicsek (FV) relation is a seminal universal relation obtained for the
global roughness at the interface of two media in the growth process. In this work, we revisit …

We investigate solid-on-solid models that belong to the Kardar–Parisi–Zhang (KPZ)
universality class on substrates that expand laterally at a constant rate by duplication of …