## Graff, Grzegorz

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 Author ID: graff.grzegorz Published as: Graff, Grzegorz External Links: MGP
 Documents Indexed: 44 Publications since 1996 Co-Authors: 20 Co-Authors with 35 Joint Publications 273 Co-Co-Authors
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### Co-Authors

 9 single-authored 13 Nowak-Przygodzki, Piotr 11 Jezierski, Jerzy 3 Kaczkowska, Agnieszka 3 Lebiedź, Małgorzata 3 Misiurewicz, Michał 2 Amigó, José María 2 Graff, Beata 2 Monetti, Roberto A. 2 Myszkowski, Adrian 1 Byszewski, Jakub 1 Dzedzej, Zdzisław 1 Gulgowski, Jacek 1 Marzantowicz, Wacław 1 Nowak-Przygodzki, Marcin 1 Pilarczyk, Paweł 1 Ruiz del Portal, Francisco Romero 1 Ruiz-Herrera, Alfonso 1 Signerska-Rynkowska, Justyna 1 Signerska, Justyna 1 Tessmer, Katarzyna
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### Serials

 5 Topology and its Applications 5 Topological Methods in Nonlinear Analysis 3 Discrete and Continuous Dynamical Systems 2 Fundamenta Mathematicae 2 Journal of Dynamics and Differential Equations 2 Journal of Fixed Point Theory and Applications 1 Rocky Mountain Journal of Mathematics 1 Annales Polonici Mathematici 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Geometriae Dedicata 1 Hokkaido Mathematical Journal 1 Journal of Differential Equations 1 Monatshefte für Mathematik 1 Osaka Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Roczniki Polskiego Towarzystwa Matematycznego. Seria II. Wiadomości Matematyczne 1 Forum Mathematicum 1 Topology Proceedings 1 Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica 1 The Electronic Journal of Combinatorics 1 Journal of Difference Equations and Applications 1 Mathematical Physics, Analysis and Geometry 1 Chaos 1 Qualitative Theory of Dynamical Systems 1 Dynamical Systems 1 Discrete and Continuous Dynamical Systems. Series B 1 Central European Journal of Mathematics 1 Folia Mathematica 1 Fixed Point Theory and Applications
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### Fields

 43 Dynamical systems and ergodic theory (37-XX) 32 Algebraic topology (55-XX) 3 Number theory (11-XX) 3 General topology (54-XX) 1 Combinatorics (05-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

33 Publications have been cited 150 times in 55 Documents Cited by Year
Minimal number of periodic points for $$C^{1}$$ self-maps of compact simply-connected manifolds. Zbl 1173.37014
Graff, Grzegorz; Jezierski, Jerzy
2009
Fixed point indices of iterations of $$C^1$$ maps in $$\mathbb R^3$$. Zbl 1185.37043
Graff, Grzegorz; Nowak-Przygodzki, Piotr
2006
Fixed point indices of iterated smooth maps in arbitrary dimension. Zbl 1247.37020
Graff, Grzegorz; Jezierski, Jerzy; Nowak-Przygodzki, Piotr
2011
Minimal periods of maps of rational exterior spaces. Zbl 0969.37011
Graff, Grzegorz
2000
Minimizing the number of periodic points for smooth maps. Non-simply connected case. Zbl 1211.55004
Graff, Grzegorz; Jezierski, Jerzy
2011
Minimal number of periodic points for smooth self-maps of $$S^3$$. Zbl 1184.37017
Graff, Grzegorz; Jezierski, Jerzy
2009
Minimal number of periodic points for smooth self-maps of two-holed 3-dimensional closed ball. Zbl 1186.37029
Graff, Grzegorz
2009
Fixed point indices of iterations of planar homeomorphisms. Zbl 1051.37010
Graff, Grzegorz; Nowak-Przygodzki, Piotr
2003
Lefschetz periodic point free self-maps of compact manifolds. Zbl 1263.37038
Graff, Grzegorz; Kaczkowska, Agnieszka; Nowak-Przygodzki, Piotr; Signerska, Justyna
2012
Minimal number of periodic points of smooth boundary-preserving self-maps of simply-connected manifolds. Zbl 1372.37046
Graff, Grzegorz; Jezierski, Jerzy
2017
Combinatorial scheme of finding minimal number of periodic points for smooth self-maps of simply connected manifolds. Zbl 1276.55005
Graff, Grzegorz; Jezierski, Jerzy
2013
Existence of $$\delta_m$$-periodic points for smooth maps of compact manifold. Zbl 0983.37019
Graff, Grzegorz
2000
Generating sequences of Lefschetz numbers of iterates. Zbl 1475.37012
Graff, Grzegorz; Lebiedź, Małgorzata; Nowak-Przygodzki, Piotr
2019
Minimization of the number of periodic points for smooth self-maps of closed simply-connected 4-manifolds. Zbl 1306.37022
Graff, Grzegorz; Jezierski, Jerzy
2011
Computing algebraic transfer entropy and coupling directions via transcripts. Zbl 1378.62054
Amigó, José M.; Monetti, Roberto; Graff, Beata; Graff, Grzegorz
2016
Indices of iterations and periodic points of simplicial maps of smooth type. Zbl 1042.37017
Graff, Grzegorz
2002
Periodic points of latitudinal maps of the $$m$$-dimensional sphere. Zbl 1370.37045
Graff, Grzegorz; Misiurewicz, Michał; Nowak-Przygodzki, Piotr
2016
On the growth of the number of periodic points for smooth self-maps of a compact manifold. Zbl 1274.37013
Graff, Grzegorz; Jezierski, Jerzy
2007
Periodic expansion in determining minimal sets of Lefschetz periods for Morse-Smale diffeomorphisms. Zbl 1431.37033
Graff, Grzegorz; Lebiedź, Małgorzata; Myszkowski, Adrian
2019
Shub’s conjecture for smooth longitudinal maps of $$S^m$$. Zbl 1394.37038
Graff, Grzegorz; Misiurewicz, Michał; Nowak-Przygodzki, Piotr
2018
Sequences of fixed point indices of iterations in dimension 2. Zbl 1061.37016
Graff, Grzegorz; Nowak-Przygodzki, Piotr
2003
Algebraic periods of self-maps of a rational exterior space of rank 2. Zbl 1094.55004
Graff, Grzegorz
2006
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. Zbl 1286.55002
Graff, Grzegorz; Kaczkowska, Agnieszka
2013
General form of fixed point indices of an iterated $$C ^{1}$$ map and infiniteness of minimal periods. Zbl 1161.37024
Graff, Grzegorz; Nowak-Przygodzki, Piotr
2008
Minimal number of periodic points for smooth self-maps of $$\mathbb {R}P^3$$. Zbl 1207.55003
Graff, Grzegorz; Jezierski, Jerzy; Nowak-Przygodzki, Marcin
2010
Local fixed point indices of iterations of planar maps. Zbl 1230.37029
Graff, Grzegorz; Nowak-Przygodzki, Piotr; Ruiz del Portal, Francisco R.
2011
Fixed point index for $$G$$-equivariant multivalued maps. Zbl 0904.55003
Dzedzej, Zdzisław; Graff, Grzegorz
1996
A strategy to locate fixed points and global perturbations of ODE’s: mixing topology with metric conditions. Zbl 1301.37026
Graff, Grzegorz; Ruiz-Herrera, Alfonso
2014
Existence of periodic orbits for a perturbed vector field. Zbl 1133.37006
Graff, Grzegorz
2007
Fixed points of planar homeomorphisms of the form identity + contraction. Zbl 1133.37012
Graff, Grzegorz; Nowak-Przygodzki, Piotr
2007
Fixed point indices of iterated planar maps. Zbl 1109.37019
Graff, Grzegorz; Marzantowicz, Wacław
2005
Fixed point indices of iterates of a low-dimensional diffeomorphism at a fixed point which is an isolated invariant set. Zbl 1394.37037
Graff, Grzegorz
2018
Dold sequences, periodic points, and dynamics. Zbl 07456937
Byszewski, Jakub; Graff, Grzegorz; Ward, Thomas
2021
Dold sequences, periodic points, and dynamics. Zbl 07456937
Byszewski, Jakub; Graff, Grzegorz; Ward, Thomas
2021
Generating sequences of Lefschetz numbers of iterates. Zbl 1475.37012
Graff, Grzegorz; Lebiedź, Małgorzata; Nowak-Przygodzki, Piotr
2019
Periodic expansion in determining minimal sets of Lefschetz periods for Morse-Smale diffeomorphisms. Zbl 1431.37033
Graff, Grzegorz; Lebiedź, Małgorzata; Myszkowski, Adrian
2019
Shub’s conjecture for smooth longitudinal maps of $$S^m$$. Zbl 1394.37038
Graff, Grzegorz; Misiurewicz, Michał; Nowak-Przygodzki, Piotr
2018
Fixed point indices of iterates of a low-dimensional diffeomorphism at a fixed point which is an isolated invariant set. Zbl 1394.37037
Graff, Grzegorz
2018
Minimal number of periodic points of smooth boundary-preserving self-maps of simply-connected manifolds. Zbl 1372.37046
Graff, Grzegorz; Jezierski, Jerzy
2017
Computing algebraic transfer entropy and coupling directions via transcripts. Zbl 1378.62054
Amigó, José M.; Monetti, Roberto; Graff, Beata; Graff, Grzegorz
2016
Periodic points of latitudinal maps of the $$m$$-dimensional sphere. Zbl 1370.37045
Graff, Grzegorz; Misiurewicz, Michał; Nowak-Przygodzki, Piotr
2016
A strategy to locate fixed points and global perturbations of ODE’s: mixing topology with metric conditions. Zbl 1301.37026
Graff, Grzegorz; Ruiz-Herrera, Alfonso
2014
Combinatorial scheme of finding minimal number of periodic points for smooth self-maps of simply connected manifolds. Zbl 1276.55005
Graff, Grzegorz; Jezierski, Jerzy
2013
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. Zbl 1286.55002
Graff, Grzegorz; Kaczkowska, Agnieszka
2013
Lefschetz periodic point free self-maps of compact manifolds. Zbl 1263.37038
Graff, Grzegorz; Kaczkowska, Agnieszka; Nowak-Przygodzki, Piotr; Signerska, Justyna
2012
Fixed point indices of iterated smooth maps in arbitrary dimension. Zbl 1247.37020
Graff, Grzegorz; Jezierski, Jerzy; Nowak-Przygodzki, Piotr
2011
Minimizing the number of periodic points for smooth maps. Non-simply connected case. Zbl 1211.55004
Graff, Grzegorz; Jezierski, Jerzy
2011
Minimization of the number of periodic points for smooth self-maps of closed simply-connected 4-manifolds. Zbl 1306.37022
Graff, Grzegorz; Jezierski, Jerzy
2011
Local fixed point indices of iterations of planar maps. Zbl 1230.37029
Graff, Grzegorz; Nowak-Przygodzki, Piotr; Ruiz del Portal, Francisco R.
2011
Minimal number of periodic points for smooth self-maps of $$\mathbb {R}P^3$$. Zbl 1207.55003
Graff, Grzegorz; Jezierski, Jerzy; Nowak-Przygodzki, Marcin
2010
Minimal number of periodic points for $$C^{1}$$ self-maps of compact simply-connected manifolds. Zbl 1173.37014
Graff, Grzegorz; Jezierski, Jerzy
2009
Minimal number of periodic points for smooth self-maps of $$S^3$$. Zbl 1184.37017
Graff, Grzegorz; Jezierski, Jerzy
2009
Minimal number of periodic points for smooth self-maps of two-holed 3-dimensional closed ball. Zbl 1186.37029
Graff, Grzegorz
2009
General form of fixed point indices of an iterated $$C ^{1}$$ map and infiniteness of minimal periods. Zbl 1161.37024
Graff, Grzegorz; Nowak-Przygodzki, Piotr
2008
On the growth of the number of periodic points for smooth self-maps of a compact manifold. Zbl 1274.37013
Graff, Grzegorz; Jezierski, Jerzy
2007
Existence of periodic orbits for a perturbed vector field. Zbl 1133.37006
Graff, Grzegorz
2007
Fixed points of planar homeomorphisms of the form identity + contraction. Zbl 1133.37012
Graff, Grzegorz; Nowak-Przygodzki, Piotr
2007
Fixed point indices of iterations of $$C^1$$ maps in $$\mathbb R^3$$. Zbl 1185.37043
Graff, Grzegorz; Nowak-Przygodzki, Piotr
2006
Algebraic periods of self-maps of a rational exterior space of rank 2. Zbl 1094.55004
Graff, Grzegorz
2006
Fixed point indices of iterated planar maps. Zbl 1109.37019
Graff, Grzegorz; Marzantowicz, Wacław
2005
Fixed point indices of iterations of planar homeomorphisms. Zbl 1051.37010
Graff, Grzegorz; Nowak-Przygodzki, Piotr
2003
Sequences of fixed point indices of iterations in dimension 2. Zbl 1061.37016
Graff, Grzegorz; Nowak-Przygodzki, Piotr
2003
Indices of iterations and periodic points of simplicial maps of smooth type. Zbl 1042.37017
Graff, Grzegorz
2002
Minimal periods of maps of rational exterior spaces. Zbl 0969.37011
Graff, Grzegorz
2000
Existence of $$\delta_m$$-periodic points for smooth maps of compact manifold. Zbl 0983.37019
Graff, Grzegorz
2000
Fixed point index for $$G$$-equivariant multivalued maps. Zbl 0904.55003
Dzedzej, Zdzisław; Graff, Grzegorz
1996
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### Cited by 41 Authors

 24 Graff, Grzegorz 16 Jezierski, Jerzy 8 Nowak-Przygodzki, Piotr 7 Ruiz del Portal, Francisco Romero 6 Sirvent, Víctor F. 5 Llibre, Jaume 4 Salazar, José Miguel 3 Lebiedź, Małgorzata 3 Misiurewicz, Michał 2 Hernández-Corbato, Luis 2 Kaczkowska, Agnieszka 2 Myszkowski, Adrian 2 Ruiz-Herrera, Alfonso 2 Wójcik, Klaudiusz 1 Amigó, José María 1 Berrizbeitia, Pedro 1 Crabb, Michael C. 1 Cufí-Cabré, Clara 1 García Guirao, Juan Luis 1 González, Marcos José 1 Gulgowski, Jacek 1 Hirata, Yoshito 1 Honorato, Gerardo 1 Horecka, Michalina 1 Iglesias, Jorge 1 Jiang, Boju 1 Mansilla Corona, Ricardo 1 Marzantowicz, Wacław 1 Niu, Lei 1 Nowak-Przygodzki, Marcin 1 Pérez, Mario López 1 Portela, Aldo 1 Raźny, Paweł 1 Rovella, Alvaro 1 Sánchez-Gabites, Jaime J. 1 Signerska-Rynkowska, Justyna 1 Signerska, Justyna 1 Smirnov, Dmitry A. 1 Valenzuela, Francisco 1 Xavier, Juliana C. 1 Zhao, Xuezhi
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### Cited in 25 Serials

 10 Journal of Fixed Point Theory and Applications 6 Topology and its Applications 6 Qualitative Theory of Dynamical Systems 3 Journal of Differential Equations 3 Journal of Difference Equations and Applications 3 Acta Mathematica Sinica. English Series 2 Proceedings of the American Mathematical Society 2 Journal of Dynamics and Differential Equations 2 Discrete and Continuous Dynamical Systems 2 Chaos 2 Fixed Point Theory and Applications 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 Physica A 1 Archiv der Mathematik 1 Geometriae Dedicata 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Forum Mathematicum 1 Topological Methods in Nonlinear Analysis 1 The Electronic Journal of Combinatorics 1 Mathematical Physics, Analysis and Geometry 1 Dynamical Systems 1 Central European Journal of Mathematics 1 Science China. Mathematics
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### Cited in 12 Fields

 45 Dynamical systems and ergodic theory (37-XX) 33 Algebraic topology (55-XX) 12 General topology (54-XX) 6 Manifolds and cell complexes (57-XX) 3 Ordinary differential equations (34-XX) 2 Number theory (11-XX) 1 Combinatorics (05-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX)