TY - JOUR
T1 - Two-dimensional critical percolation
T2 - The full scaling limit
AU - Camia, Federico
AU - Newman, Charles M.
PY - 2006/11
Y1 - 2006/11
N2 - We use SLE 6 paths to construct a process of continuum nonsimple loops in the plane and prove that this process coincides with the full continuum scaling limit of 2D critical site percolation on the triangular lattice - that is, the scaling limit of the set of all interfaces between different clusters. Some properties of the loop process, including conformal invariance, are also proved.
AB - We use SLE 6 paths to construct a process of continuum nonsimple loops in the plane and prove that this process coincides with the full continuum scaling limit of 2D critical site percolation on the triangular lattice - that is, the scaling limit of the set of all interfaces between different clusters. Some properties of the loop process, including conformal invariance, are also proved.
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U2 - 10.1007/s00220-006-0086-1
DO - 10.1007/s00220-006-0086-1
M3 - Article
AN - SCOPUS:33749356449
SN - 0010-3616
VL - 268
SP - 1
EP - 38
JO - Communications in Mathematical Physics
JF - Communications in Mathematical Physics
IS - 1
ER -