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On examples of difference operators for {0,1}-valued functions over finite sets

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Functional Analysis and Other Mathematics

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.

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References

  1. Arnold VI (2005) Slozhnost’ konechnykh posledovatel’nostei nulei i edinits i geometriya konechnykh funktsional’nykh prostranstv (Complexity of finite sequences of zeros and ones and geometry of finite spaces of functions). Lecture at the session of the Moscow Mathematical Society, 22 November 2005. http://mms.math-net.ru/meetings/2005/arnold.pdf. Cited 31 Oct 2006

  2. Arnold VI (2006) Complexity of finite sequences of zeros and ones and geometry of finite spaces of functions. Funct Anal Other Math 1(1):1–15

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  3. Arnold VI (2006) Slozhnost’ konechnykh posledovatel’nostei nulei i edinits i geometriya konechnykh funktsional’nykh prostranstv (Complexity of finite sequences of zeros and ones and geometry of finite spaces of functions). Public lecture at the Concert Hall “Academicheskii,” Moscow, 13 May 2006. http://elementy.ru/lib/430178/430281. Cited 31 Oct 2006

  4. Arnold VI (2006) Experimental’noe nablyudenie matematicheskikh faktov (Experimental discovery of mathematical facts). Moscow Center for Continuous Mathematical Education, Moscow

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  5. Garber A (2006) Graphs of difference operators for p-ary sequences. Funct Anal Other Math 1(2):159–174

    Article  Google Scholar 

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Authors and Affiliations

  1. Mathematisch Instituut, Universiteit Leiden, P.O. Box 9512, 2300 RA, Leiden, The Netherlands

    Oleg Karpenkov

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  1. Oleg Karpenkov
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Correspondence to Oleg Karpenkov.

Additional information

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.

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Karpenkov, O. On examples of difference operators for {0,1}-valued functions over finite sets. Funct. Anal. Other Math. 1, 175–180 (2006). https://doi.org/10.1007/s11853-007-0010-z

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  • DOI: https://doi.org/10.1007/s11853-007-0010-z

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