# zbMATH — the first resource for mathematics

Plaquettes, spheres, and entanglement. (English) Zbl 1229.60107
The authors consider the plaquette percolation model, that is a natural dual to bond percolation in two and more dimensions, and prove that the high-density plaquette percolation model in $$d$$ dimensions contains a surface that is homeomorphic to the $$(d-1)$$-sphere and encloses the origin. This is proved by a path-counting argument in a dual bond percolation model.

##### MSC:
 60K35 Interacting random processes; statistical mechanics type models; percolation theory 82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics
##### Keywords:
entanglement; percolation; random sphere
Full Text: