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Abstract <p> Finite automata implementing the Hilbert map from the unit interval to the unit square and its versions (a closed curve and a curve stationary almost everywhere) are constructed. Properties of this map, including special features of its restriction to rational numbers, are studied. </p>

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Peano Curves and Finite Automata

  • 期刊论文

  • 发表日期：

    2025年2月1日

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  • A. V. Vlasov,
  • S. B. Gashkov

摘要

Abstract

Finite automata implementing the Hilbert map from the unit interval to the unit square and its versions (a closed curve and a curve stationary almost everywhere) are constructed. Properties of this map, including special features of its restriction to rational numbers, are studied.