An introduction to the conformally invariant processes that appear as scaling limits. It covers topics including: stochastic integration; complex Brownian motion and measures derived from Brownian motion; conformal mappings and univalent functions; the Loewner differential equation and Loewner chains; and, the Schramm-Loewner evolution (SLE).
Conformally Invariant Processes in the Plane by Gregory F. Lawler
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