Harmonic explorer and its convergence to SLE4
Schramm, Oded ; Sheffield, Scott
Ann. Probab., Tome 33 (2005) no. 1, p. 2127-2148 / Harvested from Project Euclid
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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.
Publié le : 2005-11-14
Classification:  SLE,  SLE_4,  scaling limit,  harmonic explorer,  60D05,  82B43 
@article{1133965855,
     author = {Schramm, Oded and Sheffield, Scott},
     title = {Harmonic explorer and its convergence to SLE<sub>4</sub>},
     journal = {Ann. Probab.},
     volume = {33},
     number = {1},
     year = {2005},
     pages = { 2127-2148},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1133965855}
}

Schramm, Oded; Sheffield, Scott. Harmonic explorer and its convergence to SLE4. Ann. Probab., Tome 33 (2005) no. 1, pp.  2127-2148. http://gdmltest.u-ga.fr/item/1133965855/