P. Jouannot et al., CONNECTIVITY OF RANDOM STRUCTURES, Comptes rendus de l'Academie des sciences. Serie II. Mecanique, physique, chimie, astronomie, 321(10), 1995, pp. 425-430
This Note deals with a new approach to the percolation threshold in ra
ndom two-phase media. This transition has been linked with the topolog
ical evolution of random structures simulated in 2D or 3D space. A coi
ncidence has been observed between the percolation threshold appearing
in a space of dimension n and the extrema of the Euler-Poincare' char
acteristic measured in the n - 1 dimensional space.