Search results for: DOLD SEQUENCES

• Dold sequences, periodic points, and dynamics

  Publication

  • J. Byszewski
  • G. Graff
  • T. Ward

  - BULLETIN OF THE LONDON MATHEMATICAL SOCIETY - Year 2021

  In this survey we describe how the so-called Dold congruence arises in topology, and how it relates to periodic point counting in dynamical systems.

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• Generalized Dold sequences on partially-ordered sets

  Publication

  • G. Graff
  • J. Gulgowski
  • M. Lebiedź

  - ELECTRONIC JOURNAL OF COMBINATORICS - Year 2022

  Dold sequences constitute an important class of integer sequences that play an important role in combinatorics, number theory, topology and dynamical systems. We generalize the notion of Dold sequence for the case of partially ordered sets and describe their properties. In particular we give two alternative descriptions of generalized Dold sequences: by some class of elementary sequences as well as by different...

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• Generating sequences of Lefschetz numbers of iterates

  Publication

  • G. Graff
  • M. Lebiedź
  • P. Nowak-Przygodzki

  - MONATSHEFTE FUR MATHEMATIK - Year 2019

  Du, Huang and Li showed in 2003 that the class of Dold–Fermat sequences coincides with the class of Newton sequences, which are defined in terms of socalled generating sequences. The sequences of Lefschetz numbers of iterates form an important subclass of Dold–Fermat (thus also Newton) sequences. In this paper we characterize generating sequences of Lefschetz numbers of iterates.

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