Fracton phases constitute a new class of quantum state of matter. They are characterized by
excitations that exhibit restricted mobility, being either immobile under local Hamiltonian …

In this review, we describe dielectric properties of biological tissues and liquids in the
context of terahertz (THz) biophotonics. We discuss a model of the THz dielectric permittivity …

Modern microscopic techniques following the stochastic motion of labelled tracer particles
have uncovered significant deviations from the laws of Brownian motion in a variety of …

“God made the integers; all else is the work of man” 1. For centuries, the ancients were
satisfied with using natural numbers called simply “numbers”. What we call irrational …

This paper describes the first synthesis of a new class of topological macromolecules which
we refer to as “starburst polymers.” The fundamental building blocks to this new polymer …

The subject of this paper is the evolution of Brownian particles in disordered environments.
The “Ariadne's clew” we follow is understanding of the general statistical mechanisms which …

Fractals are fascinating, not only for their aesthetic appeal but also for allowing the
investigation of physical properties in non-integer dimensions. In these unconventional …

Over the past two decades percolation theory has been used to explain and model a wide
variety of phenomena that are of industrial and scientific importance. Examples include …

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 …

In this standard reference of the field, theoretical and experimental approaches to flow,
hydrodynamic dispersion, and miscible displacements in porous media and fractured rock …