IMAGINARY GEOMETRY II: REVERSIBILITY OF SLE kappa (rho(1); rho(2)) FOR kappa is an element of (0,4)

摘要

Given a simply connected planar domain D, distinct points x, y is an element of partial derivative D, and kappa > 0, the Schramm-Loewner evolution SLE kappa is a random continuous non-self-crossing path in (D) over bar from x to y. The SLE kappa (rho(1); rho(2)) processes, defined for rho(1), rho(2) > -2, are in some sense the most natural generalizations of SLE kappa.