Profil

Grosse-erdmann Karl

Université de Mons - UMONS > Faculté des Sciences > Service de Probabilité et statistique

Université de Mons - UMONS > Faculté des Sciences > Probabilité et statistique

ORCID
0000-0002-6268-5418
Main Referenced Co-authors
Bernal-González, L. (4)
Bonilla, A. (4)
Bennett, G. (3)
Peris, A. (3)
Calderón-Moreno, M.C. (2)
Main Referenced Keywords
47A16 (Primary) 47B37 (Secondary) (1); Analysis (1); directed tree (1); frequent hypercyclicity (1); Frequently hypercyclic operator (1);
Main Referenced Unit & Research Centers
CREMMI - Modélisation mathématique et informatique (81)
Main Referenced Disciplines
Mathematics (101)
Physics (62)
Library & information sciences (1)

Publications (total 101)

The most downloaded
25 downloads
Grosse-Erdmann, K. (21 September 2022). Linear dynamics of shifts on trees [Paper presentation]. Progress in Functional Analysis: Methods and applications, Lecce, Italy. https://hdl.handle.net/20.500.12907/44056

The most cited

117 citations (Scopus®)

Grosse-Erdmann, K. (01 January 2000). Hypercyclic and chaotic weighted shifts. Studia Mathematica, 139, 47-68. https://hdl.handle.net/20.500.12907/34678

Grosse-erdmann, K. (29 November 2023). How chaotic is differentiation? [Paper presentation]. Analysis & Geometry Seminar, Antwerpen, Anwerpen, Belgium.

Grosse-erdmann, K. (07 August 2023). Levy's phenomenon in the plane and on the disk [Paper presentation]. Universality, Zeta-Functions, and Chaotic Operators, Marseille, France.

Grosse-erdmann, K. (01 July 2023). Chaotic shift operators on trees [Paper presentation]. Nordwestdeutsches Funktionalanalysis Kolloquium, Düsseldorf, Germany.

Grosse-erdmann, K., & Papathanasiou, D. (2023). Dynamics of Weighted Shifts on Directed Trees. Indiana University Mathematics Journal, 72 (1), 263 - 299. doi:10.1512/iumj.2023.72.9315
Peer Reviewed verified by ORBi

Bonilla, A., Grosse-Erdmann, K., López-Martínez, A., & Peris, A. (15 December 2022). Frequently recurrent operators. Journal of Functional Analysis, 283 (12), 109713. doi:10.1016/j.jfa.2022.109713
Peer Reviewed verified by ORBi

Grosse-Erdmann, K. (20 October 2022). Zero-one law of orbital limit points [Paper presentation]. International workshop on Functional analysis, Valencia, Spain.

Grosse-Erdmann, K. (21 September 2022). Linear dynamics of shifts on trees [Paper presentation]. Progress in Functional Analysis: Methods and applications, Lecce, Italy.

Grosse-Erdmann, K. (2022). Une seule orbite peut-elle créer le chaos?

Grosse-Erdmann, K. (13 January 2022). A curious difference between H(C) and H(D) [Paper presentation]. Computational Methods and Function Theory, CMFT 2021, Valparaiso (en ligne), Chile.

Charpentier, S., Grosse-Erdmann, K., & Menet, Q. (01 December 2021). Chaos and frequent hypercyclicity for weighted shifts. Ergodic Theory and Dynamical Systems, 41, 3634-3670.
Peer Reviewed verified by ORBi

Grosse-Erdmann, K. (24 September 2021). Dynamique de shifts à poids sur un arbre [Paper presentation]. Séminaire d'Analyse fonctionnelle, Lille, France.

Grosse-Erdmann, K. (16 June 2021). Recurrent operators [Paper presentation]. Four Days in Linear Dynamics, The University of Campania Luigi Vanvitelli (online), Italy.

Grosse-Erdmann, K. (02 May 2021). Zero-one law of orbital limit points [Paper presentation]. AMS Spring Western Sectional Meeting, San Francisco (virtual), United States.

Falcó, J., & Grosse-Erdmann, K. (16 March 2020). Algebras of frequently hypercyclic vectors. Mathematische Nachrichten, 293 (6), 1120-1135.
Peer Reviewed verified by ORBi

Grosse-Erdmann, K. (17 January 2020). Opérateurs fréquemment récurrents [Paper presentation]. Séminaire d'Analyse Fonctionnelle, Lille, France.

Falcó, J., & Grosse-Erdmann, K. (01 January 2020). Algebrability of the set of hypercyclic vectors for backward shift operators. Advances in Mathematics, 366.
Peer Reviewed verified by ORBi

Grosse-Erdmann, K. (01 January 2020). Karl Weierstrass: A Westphalian mathematician. Mathematical Intelligencer, 42 (4), 60-63.
Peer Reviewed verified by ORBi

Grosse-Erdmann, K. (05 December 2019). Chaotic weighted backward shift operators [Paper presentation]. Séminaire, Université de Valencia, Valencia, Spain.

Grosse-Erdmann, K. (26 March 2019). Frequently hypercyclic bilateral shifts. Glasgow Mathematical Journal, 61 (2), 271-286.
Peer Reviewed verified by ORBi

Grosse-Erdmann, K. (17 December 2018). A glimpse at linear dynamics [Paper presentation]. Recent advances in Operator theory and Operator algebras OTOA 2018, Bangalore, India.

Grosse-Erdmann, K. (25 October 2018). Chaos and frequent hypercyclicity for weighted shifts [Paper presentation]. Autumn Workshop ANR Front, Lens, France.

Grosse-Erdmann, K. (01 September 2018). Upper frequent hypercyclicity and related notions. Revista Matemática Complutense, 31 (3), 673-711.
Peer reviewed

Grosse-Erdmann, K. (27 August 2018). Linear dynamics [Paper presentation]. Linear dynamics and Reconstruction of signals from incomplete frequency data, Copenhague, Denmark.

Grosse-Erdmann, K. (11 July 2018). Algebren in der linearen Dynamik [Paper presentation]. Séminaire, Trier, Germany.

Grosse-Erdmann, K. (03 July 2018). Algebraic structures in linear dynamics [Paper presentation]. Pawel Domanski Memorial Conference, Bedlewo, Poland.

Grosse-Erdmann, K. (19 October 2017). Frequently hypercyclic bilateral shifts [Paper presentation]. Nonlinear functional analysis, Valencia, Spain.

Grosse-Erdmann, K. (29 October 2016). The search for linearity in linear dynamics [Paper presentation]. Infinite dimensional analysis, Kent, United States.

Grosse-Erdmann, K. (26 October 2016). Return times and associated densities in linear dynamics [Paper presentation]. Measure theory seminar, Kent State University, Kent, United States.

Grosse-Erdmann, K. (25 June 2016). Upper frequent hypercyclicity [Paper presentation]. Workshop on Dynamics of linear operators, Istanbul, Turkey.

Grosse-Erdmann, K. (24 June 2016). Frequently hypercyclic operators - a survey [Paper presentation]. Workshop on Dynamics of linear operators, Istanbul, Turkey.

Grosse-Erdmann, K. (06 June 2016). On upper frequent hypercyclicity [Paper presentation]. Second joint conference of the Belgian, Royal Spanish and Luxembourg Mathematical Societies, Logroño, Spain.

Grosse-Erdmann, K. (07 May 2016). Upper frequent hypercyclicity [Paper presentation]. Aspects of universality 2016, Würzburg, Germany.

Grosse-Erdmann, K., & Heuwelyckx, F. (2016). The pricing of lookback options and binomial approximation. Decisions in Economics and Finance.
Peer Reviewed verified by ORBi

Grosse-Erdmann, K. (22 January 2016). Frequently hypercyclic operators, and related notions [Paper presentation]. Séminaire d'analyse Liège Trèves, Trier, Germany.

Grosse-Erdmann, K. (2016). Frequently hypercyclic operators: Recent advances and open problems [Paper presentation]. Advanved courses of mathematical analysis VI, Antequera, Spain.

Grosse-Erdmann, K. (30 November 2015). Upper frequent hypercyclicity, and related notions [Paper presentation]. Journées du GdR 'Analyse fonctionnelle et harmonique et probabilités', Marseille, France.

Grosse-Erdmann, K. (28 September 2015). Upper frequently hypercyclic operators [Paper presentation]. Frontières de la dynamique linéaire, Marseille, France.

Grosse-Erdmann, K. (16 June 2015). Upper-frequently hypercyclic operators [Paper presentation]. Workshop on functional analysis Valencia 2015, Valencia, Spain.

Grosse-Erdmann, K. (21 May 2015). Upper-frequently hypercyclic operators [Paper presentation]. Universal functions 2015, Heraklion, Greece.

Bennett, G., & Grosse-Erdmann, K. (01 January 2015). Some pretty simple inequalities I. Positivity, 19 (2), 251-288.
Peer reviewed

Grosse-Erdmann, K. (10 September 2014). On frequently hypercyclic operators [Paper presentation]. VI International Course of Mathematical Analysis in Andalucía, Antequeras, Málaga, Spain.

Grosse-Erdmann, K. (22 May 2014). Some pretty simple inequalities [Paper presentation]. 7th Conference on Function spaces, Edwardsville, United States - Illinois.

Grosse-Erdmann, K. (24 January 2014). Un principe d'extrapolation dans la théorie des inégalités [Paper presentation]. Séminaire d'analyse fonctionnelle, Lille, France.

Grosse-Erdmann, K. (04 June 2013). Sums of powers vs. powers of sums [Paper presentation]. Workshop Functional Analysis, Valencia, Spain.

Grosse-Erdmann, K., & Kim, S. G. (01 January 2013). Bihypercyclic bilinear mappings. Journal of Mathematical Analysis and Applications, 399 (2), 701-708.
Peer Reviewed verified by ORBi

Grosse-Erdmann, K. (22 October 2012). Introduction to linear dynamics [Paper presentation]. Ecole doctorale, Adam Mickiewicz University Poznan, Poland.

Grosse-Erdmann, K. (03 July 2012). Topics in linear dynamics [Paper presentation]. Ecole doctorale, Universitat Politecnica de Valencia, Spain.

Bonilla, A., & Grosse-Erdmann, K. (01 July 2012). Frequently hypercyclic subspaces. Monatshefte für Mathematik, 168 (3-4), 305-320.
Peer Reviewed verified by ORBi

Grosse-Erdmann, K. (13 June 2012). A new paradigm for chaos [Paper presentation]. Colloquium, Universität Würzburg, Germany.

Grosse-Erdmann, K. (07 June 2012). Common subspaces of hypercyclic vectors [Paper presentation]. 1st Joint conference of the Belgian, Royal Spanish and Luxembourg mathematical societies, Liège, Belgium.

Grosse-Erdmann, K. (08 May 2012). Trivializing classical inequalities [Paper presentation]. Functional Analysis: Applications of Complex Analysis, Bedlewo, Poland.

Grosse-Erdmann, K. (06 March 2012). Bihypercyclic bilinear mappings [Paper presentation]. HCAA 2012 Harmonic and Complex Analysis, Puerto de la Cruz, Tenerife, Spain.

Grosse-Erdmann, K. (31 January 2012). Recent developments in linear dynamics [Paper presentation]. 5th ILJU School of Mathematics, Gyeongju, South Korea.

Grosse-Erdmann, K. (18 January 2012). Chaotisches Verhalten linearer Operatoren [Paper presentation]. Colloquium, Katholische Universität Eichstätt, Germany.

Grosse-Erdmann, K., & Peris, A. (2011). Linear Chaos. Springer Verlag.

Grosse-Erdmann, K. (04 July 2011). Frequently hypercyclic subspaces [Paper presentation]. Universal functions and hypercyclic operators 2011, Heraklion, Crète, Greece.

Grosse-Erdmann, K. (25 May 2011). Construction versus Baire category in universality [Paper presentation]. Linear dynamics, La Laguna, Tenerife, Spain.

Grosse-Erdmann, K. (23 February 2011). Recent developments in linear dynamics [Paper presentation]. Trimester on functional analysis, complex analysis and operator theory, Valencia, Spain.

Aron, R., Bès, J., Grosse-Erdmann, K., Peris, A., Aron, R. (Ed.), Bès, J. (Ed.), Grosse-Erdmann, K. (Ed.), & Peris, A. (Ed.). (2011). Hypercyclicity and linear chaos. Springer.

Grosse-Erdmann, K., & Menet, Q. (2011). Le chaos linéaire : un paradoxe ?

Grosse-Erdmann, K. (2011). La compression d'image.

Grosse-Erdmann, K., & Peris, A. (01 January 2010). Weakly mixing operators on topological vector spaces. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A Matemáticas, 104 (2), 413-426.
Peer reviewed

Blasco, O., Bonilla, A., & Grosse-Erdmann, K. (01 January 2010). Rate of growth of frequently hypercyclic functions. Proceedings of the Edinburgh Mathematical Society, 53 (1), 39-59. doi:10.1017/S0013091508000564
Peer Reviewed verified by ORBi

Grosse-Erdmann, K., & Mortini, R. (01 July 2009). Universal functions for composition operators with non-automorphic symbol. Journal d'Analyse Mathématique, 107, 355-376.
Peer reviewed

Grosse-Erdmann, K., León-Saavedra, F., & Piqueras-Lerena, A. (01 January 2008). The iterates of a map with dense orbit. Acta Scientiarum Mathematicarum, 74 (1-2), 245-257.
Peer Reviewed verified by ORBi

Bayart, F., Grosse-Erdmann, K., Nestordis, V., & Papadimitropoulos, C. (01 January 2008). Abstract theory of universal series and applications. Proceedings of the London Mathematical Society, 96 (2), 417-463.
Peer Reviewed verified by ORBi

Bonilla, A., & Grosse-Erdmann, K. (01 January 2007). Frequently hypercyclic operators and vectors. Ergodic Theory and Dynamical Systems, 27 (2), 383-404. doi:10.1017/S014338570600085X
Peer reviewed

Grosse-Erdmann, K. (2007). Dynamics of linear operators [Paper presentation]. Topics in complex analysis and operator theory, Malaga, Spain.

Bernal-González, L., & Grosse-Erdmann, K. (01 January 2007). Existence and non-existence of hypercyclic semigroups. Proceedings of the American Mathematical Society, 135 (3), 755-766.
Peer Reviewed verified by ORBi

Bonilla, A., & Grosse-Erdmann, K. (01 January 2006). On a theorem of Godefroy and Shapiro. Integral Equations and Operator Theory, 56 (12), 151-162. doi:10.1007/s00020-006-1423-
Peer Reviewed verified by ORBi

Bennett, G., & Grosse-Erdmann, K. (01 January 2006). Weighted Hardy inequalities for decreasing sequences and functions. Mathematische Annalen, 334 (3), 489-531.
Peer Reviewed verified by ORBi

Bennett, G., & Grosse-Erdmann, K. (01 January 2005). On series of positive terms. Houston Journal of Mathematics, 31 (2), 541-586.
Peer reviewed

Grosse-Erdmann, K. (01 January 2004). A weak criterion for vector-valued holomorphy. Mathematical Proceedings of the Cambridge Philosophical Society, 136, 399-411.
Peer Reviewed verified by ORBi

Connor, J., & Grosse-Erdmann, K. (01 January 2003). Sequential definitions of continuity for real functions. Rocky Mountain Journal of Mathematics, 33, 93-121.
Peer reviewed

Bernal-González, L., & Grosse-Erdmann, K. (01 January 2003). The hypercyclicity criterion for sequences of operators. Studia Mathematica, 157, 17-32.
Peer Reviewed verified by ORBi

Grosse-Erdmann, K. (01 January 2003). Recent developments in hypercyclicity. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A Matemáticas, 97, 273-286.
Peer reviewed

deLaubenfels, R., Emamirad, H., & Grosse-Erdmann, K. (01 January 2003). Chaos for semigroups of unbounded operators. Mathematische Nachrichten, 261-262, 47-59.
Peer Reviewed verified by ORBi

Bernal-González, L., Calderón-Moreno, M. C., & Grosse-Erdmann, K. (01 January 2002). Strongly omnipresent operators: general conditions and applications to composition operators. Bulletin of the Australian Mathematical Society, 72, 335-348.
Peer Reviewed verified by ORBi

Bernal-González, L., Calderón-Moreno, M. C., & Grosse-Erdmann, K. (01 January 2002). Strongly omnipresent integral operators. Integral Equations and Operator Theory, 44, 397-409.
Peer Reviewed verified by ORBi

Grosse-Erdmann, K. (01 January 2001). On l1 -invariant sequence spaces. Journal of Mathematical Analysis and Applications, 262, 112-132.
Peer Reviewed verified by ORBi

Grosse-Erdmann, K. (01 January 2000). Rate of growth of hypercyclic entire functions. Indagationes Mathematicae, 11, 561-571.
Peer Reviewed verified by ORBi

Grosse-Erdmann, K. (01 January 2000). Hypercyclic and chaotic weighted shifts. Studia Mathematica, 139, 47-68.
Peer Reviewed verified by ORBi

Grosse-Erdmann, K. (01 January 1999). Strong weighted mean summability and Kuttner's theorem. Journal of the London Mathematical Society, 59, 987-1002.
Peer Reviewed verified by ORBi

Grosse-Erdmann, K. (01 January 1999). Universal families and hypercyclic operators. Bulletin of the American Mathematical Society, 36, 345-381.
Peer Reviewed verified by ORBi

Grosse-Erdmann, K. (1998). The blocking technique, weighted mean operators and Hardy's inequality. Springer Verlag.

Díaz, J. C., & Grosse-Erdmann, K. (01 January 1997). On non-distinguished matrix domains. Results in Mathematics, 32, 285-290.
Peer Reviewed verified by ORBi

Grosse-Erdmann, K., & Stadtmüller, K. (01 January 1995). Characterization of summability points of Nörlund methods. Transactions of the American Mathematical Society, 347, 2563-2574.
Peer Reviewed verified by ORBi

Grosse-Erdmann, K. (01 January 1995). The locally convex topology on the space of meromorphic functions. Bulletin of the Australian Mathematical Society, 59, 287-303.
Peer Reviewed verified by ORBi

Boos, J., Grosse-Erdmann, K., & Leiger, T. (01 January 1994). L_phi -spaces and some related sequence spaces. Zeitschrift für Analysis und ihre Anwendungen, 13, 377-385.
Peer reviewed

Grosse-Erdmann, K. (01 January 1993). Matrix transformations between the sequence spaces of Maddox. Journal of Mathematical Analysis and Applications, 180, 223-238.
Peer Reviewed verified by ORBi

Grosse-Erdmann, K. (01 January 1993). T -solid sequence spaces. Frontiers in Neuroscience, 11, 303-321.
Peer Reviewed verified by ORBi

Grosse-Erdmann, K. (01 January 1993). On the Borel-Okada theorem and the Hadamard multiplication theorem. Complex Variables, 22, 101-112.
Peer Reviewed verified by ORBi

Grosse-Erdmann, K. (01 January 1992). Topologies on matrix spaces and universal matrices. Analysis, 12, 47-56.
Peer Reviewed verified by ORBi

Grosse-Erdmann, K. (01 January 1992). On the f -dual of sequence spaces. Archiv der Mathematik, 58, 575-581.
Peer Reviewed verified by ORBi

Grosse-Erdmann, K. (01 January 1992). Matrix transformations involving analytic sequence spaces. Mathematische Zeitschrift, 299, 499-510.
Peer Reviewed verified by ORBi

Grosse-Erdmann, K. (01 January 1992). The structure of the sequence spaces of Maddox. Canadian Journal of Mathematics, 44, 298-307.
Peer Reviewed verified by ORBi

Grosse-Erdmann, K. (01 January 1991). Lebesgue's theorem of differentiation in Frechet lattices. Proceedings of the American Mathematical Society, 112, 371-379.
Peer Reviewed verified by ORBi

Grosse-Erdmann, K. (01 January 1990). On the universal functions of G. R. MacLane. Complex Variables, 15, 193-196.
Peer Reviewed verified by ORBi

Grosse-Erdmann, K. (01 January 1989). An extension of the Steinhaus-Weil theorem. Colloquium Mathematicum, 57, 307-317.
Peer reviewed

Grosse-Erdmann, K. (01 January 1989). Regularity properties of functional equations and inequalities. Aequationes Mathematicae, 37, 233-251.
Peer Reviewed verified by ORBi

Grosse-Erdmann, K. (01 January 1987). Holomorphe Monster und universelle Funktionen. Mitteilungen aus dem Mathematischen Seminar Giessen, 176, 1-84.
Peer reviewed

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