This article reviews various methods for the Monte Carlo simulation of models for long
flexible polymer chains, namely self-avoiding random walks at various lattices. This problem …

Fractals and disordered systems have recently become the focus of intense interest in
research. This book discusses in great detail the effects of disorder on mesoscopic scales …

Random percolation, self-avoiding walks or lattice animals can be regarded as static
geometrical models where the different possible configurations are completely independent …

The Fock space formalism for classical objects first introduced by Doi is cast in a path
integral form and applied to general birth-death processes on a lattice. The introduction of …

Applying fractal geometry to science is bringing about a breakthrough in our understanding
of complex systems in nature that show self-similar or self-affine features. Self-similar and …

The growth of starburst molecules having trifunctional branch pointsand flexible spacers of P
(= 1, 3, 5, 7, 9, and 11) steps are studied by a computer simulation. A self-avoiding walk …

ABSTRACT A fast computer program, FOLDTRAJ, to generate plausible random protein
structures is reported. All-atom proteins are made directly in continuous three-dimensional …

Percolation represents the simplest model of a disordered system [2.1-8]. Consider a square
lattice, where each site is occupied randomly with probability P or empty with probability 1-P …

Many research fields, reaching from social networks and epidemiology to biology and
physics, have experienced great advance from recent developments in random graphs and …

Several kinds of walks on complex networks are currently used to analyze search and
navigation in different systems. Many analytical and computational results are known for …