This talk studies a more generalized model than Bernoulli percolation, in which we lose FKG and hence RSW inequalities. Therefore we have to use other techniques for glueing open paths in order to get longer ones. In this argument, we define the notion of "well-behavior" for our model, using which we can recover "Box-crossing property", which is the main result of classical RSW.
This work was done in my "stage de recherche" of M2 under supervision of Prof. Beffara.
Keywords: percolation, FKG, RSW, Box-crossing property, Well-behavior.