The notes are based on lectures given in St. Flour in 1995, and cover, in greater detail, most
of the course given there. The word" fractal" was coined by Mandelbrot [Man] in the 1970s …

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 book covers analysis on fractals, a develo** area of mathematics which focuses on
the dynamical aspects of fractals, such as heat diffusion on fractals and the vibration of a …

Game theory provides a general mathematical background to study the effect of pair
interactions and evolutionary rules on the macroscopic behavior of multi-player games …

The notion of lacunarity makes it possible to distinguish sets that have the same fractal
dimension but different textures. In this paper we define the lacunarity of a set from the …

h,w)=Llog~p~. Page 1 Volume 128, number 6,7 PHYSICS LETTERS A 1 I April 1988 FINITE
SAMPLE CORRECTIONS TO ENTROPY AND DIMENSION ESTIMATES Peter …

Jahre 1977 und Les objects fractals: forme, hasard et dimension aus dem Jahre 1975.
Jedesmal wur-den fast alle Abschnitte neu geschrieben und–ne-ben einigen wenigen …

For pt. II see ibid. vol. 17, p. 435 (1984). In the first two papers of this series the authors
considered self-similar fractal lattices with a finite order of ramification R. In the present …

Recent progress in the design and fabrication of artificial two-dimensional (2D) materials
paves the way for the experimental realization of electron systems moving on complex …

Several examples are given of soluble models of phase-transition phenomena utilizing
classical discrete spin systems with nearest-neighbor interaction on hierarchical lattices …