Diffusion in disordered systems does not follow the classical laws which describe transport
in ordered crystalline media, and this leads to many anomalous physical properties. Since …

This text is addressed to both the beginner and the seasoned professional, geology being
used as the main but not the sole illustration. The goal is to present an alternative approach …

A new notion of fractal dimension is defined. When it is positive, it effectively falls back on
known definitions. But its motivating virtue is that it can take negative values, which measure …

In analogy with other spatially inhomogeneous, scale invariant systems (strange attractors,
diffusion limited aggregation, Anderson localization, random resistor networks,…) we …

Using a Kac-Moody current algebra with U (1/1)× U (1/1) graded symmetry, we describe a
class of (possibly disordered) critical points in two spatial dimensions. The critical points are …

We present a numerical simulation of a random fuse network in which the thresholds of the
fuses are distributed randomly. We calculate the breaking characteristics and find that they …

This text (an abridged version of a forthcoming detailed paper) is addressed to both the
beginner in multifractals and the seasonal professional. An alternative presentation of this …

We explore and calculate the rich scaling behavior of copolymer networks in solution by
renormalization-group methods. We establish a field-theoretic description in terms of …

As is well known, fractals are sets of points that possess is the property of being invariant by
dilation. When a fractal set is exactly self-similar, or is self-similar in a statistical sense, a …

We discuss a subtlety involved in the calculation of multifractal spectra when these are
expressed as Legendre-Fenchel transforms of functions analogous to free energy functions …