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On examples of difference operators for {0,1}-valued functions over finite sets
Authors:Oleg Karpenkov
Institution:(1) Mathematisch Instituut, Universiteit Leiden, P.O. Box 9512, 2300 RA Leiden, The Netherlands
Abstract:V.I. Arnold recently formulated a geometric concept of monads and used it to study difference operators on the sets of {0,1}-valued sequences of length n. We consider particular examples of these monads and indicate one question that arises. Partially supported by grants NWO-RFBR 047.011.2004.026 (RFBR 05-02-89000-NWO_a), RFBR SS-1972.2003.1, RFBR 05-01-02805-CNRSL_a, and RFBR 05-01-01012a.
Keywords:Arnold’  s complexity  Discrete differential operator
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