abstract:
The Swapping
Algorithm is an alternative to the well known Metropolis Algorithms, when
the latter is torpidly mixing. We analyze its convergence for simple
disordered models.
abstract:
Invasion percolation is a stochastic
growth model that is closely related to critical Bernoulli percolation.
Besides being an interesting model in its own right, invasion percolation is
important due to its self organized criticality property.
In this talk, I will define the ponds of the invaded region and use them to
derive results showing both similarities and dissimilarities between
invasion percolation and critical percolation.