Edit Profile (opens in new tab) Graff, Grzegorz Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1173.37014Graff, Grzegorz; Jezierski, Jerzy 16 2009 Fixed point indices of iterations of \(C^1\) maps in \(\mathbb R^3\). Zbl 1185.37043Graff, Grzegorz; Nowak-Przygodzki, Piotr 14 2006 Fixed point indices of iterated smooth maps in arbitrary dimension. Zbl 1247.37020Graff, Grzegorz; Jezierski, Jerzy; Nowak-Przygodzki, Piotr 13 2011 Minimal periods of maps of rational exterior spaces. Zbl 0969.37011Graff, Grzegorz 13 2000 Minimizing the number of periodic points for smooth maps. Non-simply connected case. Zbl 1211.55004Graff, Grzegorz; Jezierski, Jerzy 11 2011 Minimal number of periodic points for smooth self-maps of \(S^3\). Zbl 1184.37017Graff, Grzegorz; Jezierski, Jerzy 9 2009 Minimal number of periodic points for smooth self-maps of two-holed 3-dimensional closed ball. Zbl 1186.37029Graff, Grzegorz 8 2009 Fixed point indices of iterations of planar homeomorphisms. Zbl 1051.37010Graff, Grzegorz; Nowak-Przygodzki, Piotr 6 2003 Lefschetz periodic point free self-maps of compact manifolds. Zbl 1263.37038Graff, Grzegorz; Kaczkowska, Agnieszka; Nowak-Przygodzki, Piotr; Signerska, Justyna 5 2012 Minimal number of periodic points of smooth boundary-preserving self-maps of simply-connected manifolds. Zbl 1372.37046Graff, Grzegorz; Jezierski, Jerzy 5 2017 Combinatorial scheme of finding minimal number of periodic points for smooth self-maps of simply connected manifolds. Zbl 1276.55005Graff, Grzegorz; Jezierski, Jerzy 4 2013 Existence of \(\delta_m\)-periodic points for smooth maps of compact manifold. Zbl 0983.37019Graff, Grzegorz 4 2000 Generating sequences of Lefschetz numbers of iterates. Zbl 1475.37012Graff, Grzegorz; Lebiedź, Małgorzata; Nowak-Przygodzki, Piotr 4 2019 Minimization of the number of periodic points for smooth self-maps of closed simply-connected 4-manifolds. Zbl 1306.37022Graff, Grzegorz; Jezierski, Jerzy 3 2011 Computing algebraic transfer entropy and coupling directions via transcripts. Zbl 1378.62054Amigó, José M.; Monetti, Roberto; Graff, Beata; Graff, Grzegorz 3 2016 Indices of iterations and periodic points of simplicial maps of smooth type. Zbl 1042.37017Graff, Grzegorz 3 2002 Periodic points of latitudinal maps of the \(m\)-dimensional sphere. Zbl 1370.37045Graff, Grzegorz; Misiurewicz, Michał; Nowak-Przygodzki, Piotr 3 2016 On the growth of the number of periodic points for smooth self-maps of a compact manifold. Zbl 1274.37013Graff, Grzegorz; Jezierski, Jerzy 3 2007 Periodic expansion in determining minimal sets of Lefschetz periods for Morse-Smale diffeomorphisms. Zbl 1431.37033Graff, Grzegorz; Lebiedź, Małgorzata; Myszkowski, Adrian 2 2019 Shub’s conjecture for smooth longitudinal maps of \(S^m\). Zbl 1394.37038Graff, Grzegorz; Misiurewicz, Michał; Nowak-Przygodzki, Piotr 2 2018 Sequences of fixed point indices of iterations in dimension 2. Zbl 1061.37016Graff, Grzegorz; Nowak-Przygodzki, Piotr 2 2003 Algebraic periods of self-maps of a rational exterior space of rank 2. Zbl 1094.55004Graff, Grzegorz 2 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 1286.55002Graff, Grzegorz; Kaczkowska, Agnieszka 2 2013 General form of fixed point indices of an iterated \(C ^{1}\) map and infiniteness of minimal periods. Zbl 1161.37024Graff, Grzegorz; Nowak-Przygodzki, Piotr 2 2008 Minimal number of periodic points for smooth self-maps of \(\mathbb {R}P^3\). Zbl 1207.55003Graff, Grzegorz; Jezierski, Jerzy; Nowak-Przygodzki, Marcin 2 2010 Local fixed point indices of iterations of planar maps. Zbl 1230.37029Graff, Grzegorz; Nowak-Przygodzki, Piotr; Ruiz del Portal, Francisco R. 2 2011 Fixed point index for \(G\)-equivariant multivalued maps. Zbl 0904.55003Dzedzej, Zdzisław; Graff, Grzegorz 1 1996 A strategy to locate fixed points and global perturbations of ODE’s: mixing topology with metric conditions. Zbl 1301.37026Graff, Grzegorz; Ruiz-Herrera, Alfonso 1 2014 Existence of periodic orbits for a perturbed vector field. Zbl 1133.37006Graff, Grzegorz 1 2007 Fixed points of planar homeomorphisms of the form identity + contraction. Zbl 1133.37012Graff, Grzegorz; Nowak-Przygodzki, Piotr 1 2007 Fixed point indices of iterated planar maps. Zbl 1109.37019Graff, Grzegorz; Marzantowicz, Wacław 1 2005 Fixed point indices of iterates of a low-dimensional diffeomorphism at a fixed point which is an isolated invariant set. Zbl 1394.37037Graff, Grzegorz 1 2018 Dold sequences, periodic points, and dynamics. Zbl 07456937Byszewski, Jakub; Graff, Grzegorz; Ward, Thomas 1 2021 Dold sequences, periodic points, and dynamics. Zbl 07456937Byszewski, Jakub; Graff, Grzegorz; Ward, Thomas 1 2021 Generating sequences of Lefschetz numbers of iterates. Zbl 1475.37012Graff, Grzegorz; Lebiedź, Małgorzata; Nowak-Przygodzki, Piotr 4 2019 Periodic expansion in determining minimal sets of Lefschetz periods for Morse-Smale diffeomorphisms. Zbl 1431.37033Graff, Grzegorz; Lebiedź, Małgorzata; Myszkowski, Adrian 2 2019 Shub’s conjecture for smooth longitudinal maps of \(S^m\). Zbl 1394.37038Graff, Grzegorz; Misiurewicz, Michał; Nowak-Przygodzki, Piotr 2 2018 Fixed point indices of iterates of a low-dimensional diffeomorphism at a fixed point which is an isolated invariant set. Zbl 1394.37037Graff, Grzegorz 1 2018 Minimal number of periodic points of smooth boundary-preserving self-maps of simply-connected manifolds. Zbl 1372.37046Graff, Grzegorz; Jezierski, Jerzy 5 2017 Computing algebraic transfer entropy and coupling directions via transcripts. Zbl 1378.62054Amigó, José M.; Monetti, Roberto; Graff, Beata; Graff, Grzegorz 3 2016 Periodic points of latitudinal maps of the \(m\)-dimensional sphere. Zbl 1370.37045Graff, Grzegorz; Misiurewicz, Michał; Nowak-Przygodzki, Piotr 3 2016 A strategy to locate fixed points and global perturbations of ODE’s: mixing topology with metric conditions. Zbl 1301.37026Graff, Grzegorz; Ruiz-Herrera, Alfonso 1 2014 Combinatorial scheme of finding minimal number of periodic points for smooth self-maps of simply connected manifolds. Zbl 1276.55005Graff, Grzegorz; Jezierski, Jerzy 4 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 1286.55002Graff, Grzegorz; Kaczkowska, Agnieszka 2 2013 Lefschetz periodic point free self-maps of compact manifolds. Zbl 1263.37038Graff, Grzegorz; Kaczkowska, Agnieszka; Nowak-Przygodzki, Piotr; Signerska, Justyna 5 2012 Fixed point indices of iterated smooth maps in arbitrary dimension. Zbl 1247.37020Graff, Grzegorz; Jezierski, Jerzy; Nowak-Przygodzki, Piotr 13 2011 Minimizing the number of periodic points for smooth maps. Non-simply connected case. Zbl 1211.55004Graff, Grzegorz; Jezierski, Jerzy 11 2011 Minimization of the number of periodic points for smooth self-maps of closed simply-connected 4-manifolds. Zbl 1306.37022Graff, Grzegorz; Jezierski, Jerzy 3 2011 Local fixed point indices of iterations of planar maps. Zbl 1230.37029Graff, Grzegorz; Nowak-Przygodzki, Piotr; Ruiz del Portal, Francisco R. 2 2011 Minimal number of periodic points for smooth self-maps of \(\mathbb {R}P^3\). Zbl 1207.55003Graff, Grzegorz; Jezierski, Jerzy; Nowak-Przygodzki, Marcin 2 2010 Minimal number of periodic points for \(C^{1}\) self-maps of compact simply-connected manifolds. Zbl 1173.37014Graff, Grzegorz; Jezierski, Jerzy 16 2009 Minimal number of periodic points for smooth self-maps of \(S^3\). Zbl 1184.37017Graff, Grzegorz; Jezierski, Jerzy 9 2009 Minimal number of periodic points for smooth self-maps of two-holed 3-dimensional closed ball. Zbl 1186.37029Graff, Grzegorz 8 2009 General form of fixed point indices of an iterated \(C ^{1}\) map and infiniteness of minimal periods. Zbl 1161.37024Graff, Grzegorz; Nowak-Przygodzki, Piotr 2 2008 On the growth of the number of periodic points for smooth self-maps of a compact manifold. Zbl 1274.37013Graff, Grzegorz; Jezierski, Jerzy 3 2007 Existence of periodic orbits for a perturbed vector field. Zbl 1133.37006Graff, Grzegorz 1 2007 Fixed points of planar homeomorphisms of the form identity + contraction. Zbl 1133.37012Graff, Grzegorz; Nowak-Przygodzki, Piotr 1 2007 Fixed point indices of iterations of \(C^1\) maps in \(\mathbb R^3\). Zbl 1185.37043Graff, Grzegorz; Nowak-Przygodzki, Piotr 14 2006 Algebraic periods of self-maps of a rational exterior space of rank 2. Zbl 1094.55004Graff, Grzegorz 2 2006 Fixed point indices of iterated planar maps. Zbl 1109.37019Graff, Grzegorz; Marzantowicz, Wacław 1 2005 Fixed point indices of iterations of planar homeomorphisms. Zbl 1051.37010Graff, Grzegorz; Nowak-Przygodzki, Piotr 6 2003 Sequences of fixed point indices of iterations in dimension 2. Zbl 1061.37016Graff, Grzegorz; Nowak-Przygodzki, Piotr 2 2003 Indices of iterations and periodic points of simplicial maps of smooth type. Zbl 1042.37017Graff, Grzegorz 3 2002 Minimal periods of maps of rational exterior spaces. Zbl 0969.37011Graff, Grzegorz 13 2000 Existence of \(\delta_m\)-periodic points for smooth maps of compact manifold. Zbl 0983.37019Graff, Grzegorz 4 2000 Fixed point index for \(G\)-equivariant multivalued maps. Zbl 0904.55003Dzedzej, Zdzisław; Graff, Grzegorz 1 1996 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year