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Information Journal Paper

Title

MEASURING CONES AND OTHER THICK SUBSETS IN FREE GROUPS

Pages

  27-40

Abstract

 In this paper we investigate the special automata over nite rank FREE GROUPs and estimate asymptotic characteristics of sets they accept. We show how one can decompose an arbitrary REGULAR SUBSET of a nite rank FREE GROUP into disjoint union of sets accepted by special automata or special monoids. These automata allow us to compute explicitly generating functions, l- measures and Cesaro measure of THICK MONOIDs. Also we improve the asymptotic classification of REGULAR SUBSETs in FREE GROUPs.

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    APA: Copy

    FRENKEL, ELIZAVETA, & REMESLENNIKOV, VLADIMIR N.. (2018). MEASURING CONES AND OTHER THICK SUBSETS IN FREE GROUPS. INTERNATIONAL JOURNAL OF GROUP THEORY, 7(4), 27-40. SID. https://sid.ir/paper/709198/en

    Vancouver: Copy

    FRENKEL ELIZAVETA, REMESLENNIKOV VLADIMIR N.. MEASURING CONES AND OTHER THICK SUBSETS IN FREE GROUPS. INTERNATIONAL JOURNAL OF GROUP THEORY[Internet]. 2018;7(4):27-40. Available from: https://sid.ir/paper/709198/en

    IEEE: Copy

    ELIZAVETA FRENKEL, and VLADIMIR N. REMESLENNIKOV, “MEASURING CONES AND OTHER THICK SUBSETS IN FREE GROUPS,” INTERNATIONAL JOURNAL OF GROUP THEORY, vol. 7, no. 4, pp. 27–40, 2018, [Online]. Available: https://sid.ir/paper/709198/en

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