0 v 1 [ m at h . PR ] 1 5 O ct 2 00 3 The harmonic explorer and its convergence to SLE ( 4 ) Oded
نویسندگان
چکیده
The harmonic explorer is a random grid path. Very roughly, at each step the harmonic explorer takes a turn to the right with probability equal to the discrete harmonic measure of the left hand side of the path from a point near the end of the current path. We prove that the harmonic explorer converges to SLE4 as the grid gets finer.
منابع مشابه
ar X iv : m at h / 02 06 04 1 v 3 [ m at h . FA ] 5 O ct 2 00 2 Abstract harmonic analysis , homological algebra , and operator spaces
harmonic analysis, homological algebra, and operator spaces
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