05-26-2013
You are asking two questions: (1) how does the algorithm work and (2) how to implement it in awk.
As regards the first question, it seems you have copied the code from page 9 of the pdf attachment without actually correcting some of the diacritical characters.
In fact, the algorithm is explained in the attachment, as well as has some examples of peak functions defined. So in order to help you with the second question, it is probably best if you study page 5 to 8 of the attachment first.
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