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Planar percolation with a glimpse of Schramm-Loewner Evolution
Planar percolation Schramm-Loewner Evolution Statistical Mechanics
2011/8/22
Abstract: In recent years, important progress has been made in the field of two-dimensional statistical physics. One of the most striking achievement is probably the proof of conformal invariance of p...
Schramm Loewner Evolution and Liouville Quantum Gravity
Schramm Loewner Evolution Liouville Quantum Gravity
2011/2/24
We conformally weld (via “quantum zipping”) two boundary arcs of a Liouville quantum gravity
random surface to generate a random curve called the Schramm-Loewner evolution (SLE). We develop a theory ...