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Critical connectedness of thin arithmetical discrete planes

Abstract : The critical thickness of an arithmetical discrete plane refers to the infimum thickness that preserves its $2$-connectedness. This infimum thickness can be computed thanks to a multidimensional continued fraction algorithm, namely the fully subtractive algorithm. We provide a characterization of the discrete planes with critical thickness that contain the origin and that are $2$-connected.
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Preprints, Working Papers, ...
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Contributor : Xavier Provençal Connect in order to contact the contributor
Submitted on : Thursday, March 27, 2014 - 3:54:45 PM
Last modification on : Friday, November 19, 2021 - 6:06:03 PM

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  • HAL Id : hal-00966947, version 1
  • ARXIV : 1312.7820


Valérie Berthé, Damien Jamet, Timo Jolivet, Xavier Provençal. Critical connectedness of thin arithmetical discrete planes. 2013. ⟨hal-00966947⟩



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