Generalized Percolation Processes Using Pretopology Theory

Soufian Ben Amor (1) , Vincent Levorato (1) , Ivan Lavallée (1)

1 LAISC - Laboratoire d'informatique et des systèmes complexes

We propose in this paper a generalization of percolation processes in Z^2 using the pretopology theory. We formalize the notion of neighborhood by extending it to the concept of proximity, expressing different types of connections that may exist between the elements of a population. A modeling and simulation of forest fire using this approach shows the efficiency of this formalism to provide a realistic and powerful modeling of complex systems.

Mots clés: Pretopology; percolation processes; complex systems modeling

Domaines: Modélisation et simulation

Soufian Ben Amor, Vincent Levorato, Ivan Lavallée. Generalized Percolation Processes Using Pretopology Theory. (RIVF), Mar 2007, Hanoï, Vietnam. pp.130-134. ⟨hal-00460599⟩