Absence of percolation for critical Bernoulli percolation on planar slabs
Vortrag von Prof. Dr. Hugo Duminil-Copin
Datum: 29.05.13 Zeit: 16.00 - 17.00 Raum: Y27H25
We prove that the probability that there exists an infinite cluster for critical Bernoulli percolation on Z^2times G for any finite graph G is equal to zero. As a byproduct of the proof, we show that finite range percolation on Z^2 does not percolate at criticality (some symmetry is required for the interactions). This talk is based on a joint work with V. Sidoravicius and V. Tassion.