Wyniki wyszukiwania dla: NEWTON SEQUENCES, DOLD–FERMAT SEQUENCES, GENERATING SEQUENCES,LEFSCHETZ NUMBERS, FIXED POINT INDEX, DOLD CONGRUENCES, PERIODIC POINTS

• Generating sequences of Lefschetz numbers of iterates

  Publikacja

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

  - MONATSHEFTE FUR MATHEMATIK - Rok 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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• Generalized Dold sequences on partially-ordered sets

  Publikacja

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

  - ELECTRONIC JOURNAL OF COMBINATORICS - Rok 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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• Dold sequences, periodic points, and dynamics

  Publikacja

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

  - BULLETIN OF THE LONDON MATHEMATICAL SOCIETY - Rok 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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• Minimization of the number of periodic points for smooth self-maps of simply-connected manifolds with periodic sequence of Lefschetz numbers

  Publikacja

  • G. Graff
  • A. Kaczkowska

  - Central European Journal of Mathematics - Rok 2012

  Let f be a smooth self-map of m-dimensional, m ≥ 4, smooth closed connected and simply-connected manifold, r a fixed natural number. For the class of maps with periodic sequence of Lefschetz numbers of iterations the authors introduced in [Graff G., Kaczkowska A., Reducing the number of periodic points in smooth homotopy class of self-maps of simply-connected manifolds with periodic sequence of Lefschetz numbers, Ann. Polon. Math....

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• Sequences of fixed point indices of iterations in dimension 2.

  Publikacja

  • G. Graff
  • P. Nowak-Przygodzki

  - Rok 2004

  W pracy dowodzi się, że każdy ciąg liczb całkowitych spełniający relacje Dolda może zostać zrealizowany jako ciąg indeksów punktu stałego iteracji ciągłego odwzorowania dwuwymiarowego dysku w siebie.

• The Conley index and spectral sequences

  Publikacja

  • P. Bartłomiejczyk

  - Topological Methods in Nonlinear Analysis - Rok 2005

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• Reducing the number of periodic points in the smooth homotopy class of a self-map of a simply-connected manifold with periodic sequence of Lefschetz numbers

  Publikacja

  • G. Graff
  • A. Kaczkowska

  - Annales Polonici Mathematici - Rok 2013

  Let f be a smooth self-map of an m-dimensional (m >3) closed connected and simply-connected manifold such that the sequence of the Lefschetz num- bers of its iterations is periodic. For a fixed natural r we wish to minimize, in the smooth homotopy class, the number of periodic points with periods less than or equal to r. The resulting number is given by a topological invariant J[f] which is defned in combinatorial terms and is...

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• Thermal sequences database of the skin flaps in breast reconstruction and burns

  Publikacja

  • M. Moderhak
  • M. Kaczmarek

  - Rok 2019

  This paper presents a database of Active Dynamic Thermography (ADT) thermal sequences gathered throughout 6 year study on ADT application in skin flap blood perfusion monitoring and burn wounds diagnosis. For skin flap monitoring the database comprises of data collected during three different breast reconstruction procedures. The patients were monitored pre, intra and post surgically within 90 days period. The sequences were used...

• Thermal sequences database of the skin flaps in breast reconstruction and burns

  Publikacja

  • M. Moderhak
  • M. Kaczmarek

  - Measurement Automation Monitoring - Rok 2019

  This paper presents a database of Active Dynamic Thermography (ADT) thermal sequences gathered throughout 6 year study on ADT application in skin flap blood perfusion monitoring and burn wounds diagnosis. For skin flap monitoring the database comprises of data collected during three different breast reconstruction procedures. The patients were monitored pre, intra and post surgically within 90 days period. The sequences were used...

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• Lefschetz periodic point free self-maps of compact manifolds

  Publikacja

  • G. Graff
  • A. Kaczkowska
  • P. Nowak-Przygodzki
  • J. Signerska-Rynkowska

  - TOPOLOGY AND ITS APPLICATIONS - Rok 2012

  Let f be a self-map of a compact connected manifold M. We characterize Lefschetz periodic point free continuous self-maps of M for several classes of manifolds and generalize the results of Guirao and Llibre [J.L.G. Guirao, J. Llibre, On the Lefschetz periodic point free continuous self-maps on connected compact manifolds,

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