In this contribution, particle size distributions (PSD) of soil samples are analyzed by fractal methods. Different scaling domains, characterizing different ranges of particle sizes, are identified. Numerical models based on cellular automata are presented with the aim to understand the basic...

This article proposes the concept of Symmetric Product Measures (SPM) for addressing the geometric characterization of the distribution of the intersections of the stable and unstable manifolds in (hyperbolic) dynamical systems. Prototypical examples of SPM associated with multiplicative...

The existence of fractal-like networks effectively endows life with an additional fourth spatial dimension. This is the origin of quarter-power scaling which is so pervasive in biology. Organisms have evolved hierarchical networks which terminate in invariant units, such as capillaries, leaves,...

Computer simulation modeling for policy development in planning has had difficulty gaining a consistent foothold. Reasons for this include bad experiences with large-scale, comprehensive models (e.g., Forrester, 1969) and the lack of theory that one can quantify (Batty, 1994). Batty (1994) has...