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.

abstract: there is always a need to increase a distillate output of solar still. if plates will be used inside solar still then distillate output of solar still are expected to increase. hence, an experimental study is conducted to improve distillate output of basin solar stills by increasing the effective surface area with the help of different plates. for the purpose of experiment, three sola...