Thèmes de recherche
Nos activités de recherche portent sur:
- Opérateurs hypercycliques et chaos linéaire
- Théorie ergodique
- Mesures de risque en finance
Publications
Pour des publications plus récentes, voir ORBi UMons
2019
Publications référencées
- Frequently hypercyclic bilateral shifts, Glasgow Mathematical Journal, 61 (2019), pp. 271–286, Cambridge University Press. ,
- Strong transitivity properties for operators, Journal of Differential Equations, 266 (2019), pp. 1313–1337, Elsevier. ,
Présentations & posters sans abstract
- Dynamic behaviors of the inverse of an operator, Workshop d'automne de l'ANR Front, Clermont-Ferrand, France, 2019. ,
- Le chaos linéaire: un paradoxe?, Colloquium du LMPA, Calais, France, 2019. ,
2018
Publications référencées
- Invariant subspaces for non-normable Fréchet spaces, Advances in Mathematics, 339 (2018), pp. 495–539, Elsevier. ,
- Upper frequent hypercyclicity and related notions, Revista Matemática Complutense, 31 (2018), pp. 673–711, Universidad Complutense de Madrid. ,
- Existence of common hypercyclic subspaces for the derivative operator and the translation operators, Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A Matemáticas, 113 (2018), pp. 487–505, Real Academia de Ciencias Exactas, Fisicas y Naturales. ,
Publications (non référencées)
- Common A-hypercyclicity, 2018. ,
Présentations & posters avec abstract
- IMPACT DE L’IMPLÉMENTATION D’UNE STRATÉGIE GLOBALE COLLABORATIVE MÉDECIN-PHARMACIEN SUR LES PRATIQUES DE PRESCRIPTION ET D’ADMINISTRATION DE L’ANTIBIOPROPHYLAXIE À L’HÔPITAL CIVIL MARIE CURIE DU CHU DE CHARLEROI, 29e JOURNEE SCIENTIFIQUE de l'AFPHB, Mons, Belgique, 2018. ,
Présentations & posters sans abstract
- A glimpse at linear dynamics, Recent advances in Operator theory and Operator algebras OTOA 2018, Bangalore, Inde, 2018. ,
- Chaos and frequent hypercyclicity for weighted shifts, Autumn Workshop ANR Front, Lens, France, 2018. ,
- Invertible operators and dynamical properties, Workshop on Functional Analysis and Operator Theory, Valencia, Espagne, 2018. ,
- Linear dynamics, Linear dynamics and Reconstruction of signals from incomplete frequency data, Copenhague, Danemark, 2018. ,
- Algebren in der linearen Dynamik, Séminaire, Trier, Allemagne, 2018. ,
- Invariant subspaces in Fréchet spaces, Pawel Domanski Memorial Conference, Bedlewo, Pologne, 2018. ,
- Algebraic structures in linear dynamics, Pawel Domanski Memorial Conference, Bedlewo, Pologne, 2018. ,
2017
Publications référencées
- Linear chaos and frequent hypercyclicity, Transactions of the American Mathematical Society, 369 (2017), pp. 4977–4994, American Mathematical Society. ,
Présentations & posters avec abstract
- Common upper frequent hypercyclicity, Journées du GDR AFHP, Bordeaux, France, 2017. ,
- U-fréquente hypercyclicité commune pour les multiples d’un opérateur, Séminaire Analyse et Géométrie, Marseille, France, 2017. ,
Présentations & posters sans abstract
- Invariant subspaces in Fréchet spaces, Seminario del IUMPA, Valencia, Espagne, 2017. ,
- Frequently hypercyclic bilateral shifts, Nonlinear functional analysis, Valencia, Espagne, 2017. ,
- Invariant subspaces in Fréchet spaces, Journées du GDR AFHP, Bordeaux, France, 2017. ,
- Typical properties of hypercyclic operators on Hilbert Spaces, CEDYA (Congreso de Ecuaciones Diferenciales y Aplicaciones), Logrono, Espagne, 2017. ,
- Sous-espaces invariants pour les espaces de Fréchet, Séminaire Analyse et Géométrie, Marseille, France, 2017. ,
2016
Publications référencées
- Recurrence properties of hypercyclic operators, Mathematische Annalen, 366 (2016), pp. 545–572, Springer. ,
- Non-existence of frequently hypercyclic subspaces for P(D), Israel Journal of Mathematics, 214 (2016), pp. 149–166, Magnes Press. ,
- Gamma-supercyclicity, Journal of Functional Analysis, 270 (2016), pp. 4443–4465, Academic Press. ,
- The pricing of lookback options and binomial approximation, Decisions in Economics & Finance, (2016), Springer Science & Business Media B.V.. ,
Publications (non référencées)
- Lookback options with floating strike and binomial approximations, 2016. ,
- Frequently hypercyclic operators: Recent advances and open problems, Advanved courses of mathematical analysis VI, Antequera, Espagne, 2016. ,
Présentations & posters sans abstract
- The search for linearity in linear dynamics, Infinite dimensional analysis, Kent, USA, 2016. ,
- Return times and associated densities in linear dynamics, Measure theory seminar, Kent State University, Kent, USA, 2016. ,
- Periodic points at the service of hypercyclicity, Journées du GDR AFHP, Toulouse, France, 2016. ,
- Upper frequent hypercyclicity, Workshop on Dynamics of linear operators, Istanbul, Turquie, 2016. ,
- Frequently hypercyclic operators - a survey, Workshop on Dynamics of linear operators, Istanbul, Turquie, 2016. ,
- A rich family of weighted operators, Séminaire d’Analyse de l’Université Polytechnique de Valencia, Valencia, Espagne, 2016. ,
- Periodic points at the service of hypercyclicity, Conference of the Belgian, Royal Spanish and Luxembourg Mathematical Societies, Logrono, Espagne, 2016. ,
- On upper frequent hypercyclicity, Second joint conference of the Belgian, Royal Spanish and Luxembourg Mathematical Societies, Logroño, Espagne, 2016. ,
- Upper frequent hypercyclicity, Aspects of universality 2016, Würzburg, Allemagne, 2016. ,
- Frequently hypercyclic operators, and related notions, Séminaire d'analyse Liège Trèves, Trier, Allemagne, 2016. ,
2015
Publications référencées
- Existence of common and upper frequently hypercyclic subspaces, Journal of Mathematical Analysis and Applications, 432 (2015), pp. 10–37, Academic Press. ,
- Existence and non-existence of frequently hypercyclic subspaces for weighted shifts, Proceedings of the American Mathematical Society, 143 (2015), pp. 2469–2477, American Mathematical Society. ,
- Hereditarily hypercyclic subspaces, Journal of Operator Theory, 73 (2015), pp. 385–405, Academia Romana, Institutul de Matematica. ,
- Some pretty simple inequalities I, Positivity, 19 (2015), pp. 251–288, Birkhäuser. ,
Vulgarisation
- Après le doctorat, place au postdoctorat, 2015, Journal en ligne, Daily Science. ,
Présentations & posters sans abstract
- Upper frequent hypercyclicity, and related notions, Journées du GdR "Analyse fonctionnelle et harmonique et probabilités", Marseille, France, 2015. ,
- Linear Chaos and Frequent Hypercyclicity, Operator Algebra Seminar, Leuven, Belgique, 2015. ,
- Upper frequently hypercyclic operators, Frontières de la dynamique linéaire, Marseille, France, 2015. ,
- Linear Chaos and Frequent Hypercyclicity, Frontiers of Operator Dynamics, CIRM (Luminy), France, 2015. ,
- Lookback Options in the Binomial Model, 7th General AMaMeF and Swissquote Conference, Lausanne, Suisse, 2015. ,
- Linear dynamical systems, 3rd Heidelberg Laureate Forum, Heidelberg, Allemagne, 2015. ,
- Linear Chaos and Frequent Hypercyclicity, Workshop Functional Analysis Valencia, Valencia, Espagne, 2015. ,
- Upper-frequently hypercyclic operators, Workshop on functional analysis Valencia 2015, Valencia, Espagne, 2015. ,
- Different notions of hypercyclicity and hypercyclic subspaces, Recent Trends in Operator Theory and Function Theory, Lille, France, 2015. ,
- Upper-frequently hypercyclic operators, Universal functions 2015, Heraklion, Grèce, 2015. ,
- Propriétés de récurrence des opérateurs hypercycliques, Séminaire d'Analyse Fonctionnelle, Lille, France, 2015. ,
- Les arbres et les options lookback, 8ème édition de la Matinée des Chercheurs 2015 (MdC2015), Mons, Belgique, 2015. ,
- Linear Chaos and Frequent Hypercyclicity, Analysis Seminar, Houston, USA, 2015. ,
- Linear Chaos and Frequent Hypercyclicity, Linear Analysis Seminar, College Station, USA, 2015. ,
- Hypercyclic subspaces, Banach Spaces Seminar, College Station, USA, 2015. ,
- Chaos linéaire et fréquente hypercyclicité, Séminaire d'analyse et géométrie, Marseille, France, 2015. ,
2014
Publications référencées
- Stochastic Timed Automata, Logical Methods in Computer Science, (2014), Technische Universität Braunschweig. Institut für Theoretische Informatik. ,
- Closed universal subspaces of spaces of infinitely differentiable functions, Annales de l'Institut Fourier, 64 (2014), pp. 297–325, Institut Fourier. ,
- Convergence of European Lookback Options with Floating Strike in the Binomial Model, International Journal of Theoretical and Applied Finance, (2014), World Scientific Publishing Company. ,
- Hypercyclic subspaces and weighted shifts, Advances in Mathematics, 255 (2014), pp. 305–337, Academic Press. ,
Présentations & posters sans abstract
- Chaos linéaire et fréquente hypercyclicité, Séminaire d'Initiation à l'Analyse, Paris, France, 2014. ,
- Linear Chaos and Frequent Hypercyclicity, Istanbul Analysis Seminars, Istanbul, Turquie, 2014. ,
- Chaos linéaire et fréquente hypercyclicité, Journées du Gdr AFHP, Lille, France, 2014. ,
- On frequently hypercyclic operators, VI International Course of Mathematical Analysis in Andalucía, Antequeras, Málaga, Espagne, 2014. ,
- Existence of common hypercyclic subspaces, IWOTA, Amsterdam, Pays-Bas, 2014. ,
- Existence of frequently hypercyclic subspaces,, FNRS Group - Functional Analysis, Esneux, Belgique, 2014. ,
- Some pretty simple inequalities, 7th Conference on Function spaces, Edwardsville, IL, USA, 2014. ,
- Shifts à poids sur lp et sous-espaces fréquemment hypercycliques, Journées Cortenaises d’Analyse Mathématiques, Corte, France, 2014. ,
- Existence de sous-espaces fréquemment hypercycliques, Séminaire d'Initiation à l'Analyse, Paris, France, 2014. ,
- Un principe d'extrapolation dans la théorie des inégalités, Séminaire d'analyse fonctionnelle, Lille, France, 2014. ,
2013
Publications référencées
- Hypercyclic Subspaces on Fréchet Spaces Without Continuous Norm, Integral Equations and Operator Theory, 77 (2013), pp. 489–520, Birkhauser Verlag. ,
- Simple strategies for Banach-Mazur games and fairly correct systems, International Symposium on Games, Automata, Logics and Formal Verification, Borca di Cadore, Italie, 2013. ,
- Bihypercyclic bilinear mappings, Journal of Mathematical Analysis & Applications, 399 (2013), pp. 701–708, Academic Press. ,
Publications (non référencées)
- Existence and non-existence of hypercyclic subspaces, 2013. ,
Vulgarisation
- Topology, probability, games and verification, 2013, Notes de la cinquième BSSM, . ,
Présentations & posters avec abstract
- Lookback options in the binomial model, Nord-Pas de Calais/ Belgium Congress of Mathematics, Valenciennes, France, 2013. ,
- On the Convergence of European Options in the Binomial Model, PhD-Day (BMS), Bruxelles, Belgique, 2013. ,
- On the Convergence of European Lookback Options with Floating Strike in the Binomial Model, Advances in Mathematics of Finance - 6th General AMaMeF and Banach Center Conference, Varsovie, Pologne, 2013. ,
Présentations & posters sans abstract
- Hypercyclic subspaces, Nord Pas de Calais / Belgium Congress of Mathematics, Mons, Belgique, 2013. ,
- Banach-Mazur games, Nord Pas de Calais / Belgium Congress of Mathematics, Valenciennes, France, 2013. ,
- Shifts à poids sur lp et sous-espaces fréquemment hypercycliques, Séminaire d'analyse et géométrie, Marseille, France, 2013. ,
- Simple strategies for Banach-Mazur games and fairly correct systems, Fourth International Symposium on Games, Automata, Logics and Formal Verification, Borca di Cadore, Italie, 2013. ,
- Hypercyclic subspaces on Fréchet spaces without continuous norm, Operators on Banach spaces: Banach space Meeting 2013, Castro Urdiales, Espagne, 2013. ,
- Sums of powers vs. powers of sums, Workshop Functional Analysis, Valencia, Espagne, 2013. ,
- Hypercyclic subspaces for weighted shifts, Measure Theory Seminar, Kent, USA, 2013. ,
- Hypercyclic subspaces in Fréchet spaces without continuous norm, Measure Theory Seminar, Kent, USA, 2013. ,
- Dynamical systems and hypercyclic operators, Colloquium (Department of mathematical sciences), Kent, USA, 2013. ,
- Hypercyclic subspaces on Fréchet spaces, Analysis Seminar, Bowling Green, USA, 2013. ,
- Hypercyclic subspaces, Analysis Seminar, Bowling Green, USA, 2013. ,
- Options Lookbacks dans le Modèle Binomial, Matinée des chercheurs (MDC 2013), Mons, Belgique, 2013. ,
- Le modèle discret pour évaluer les options lookback, Séminaires pour jeunes doctorants; Faculté des Sciences de l'UMons, Mons, Belgique, 2013. ,
2012
Publications référencées
- Frequently hypercyclic subspaces, Monatshefte für Mathematik, 168 (2012), pp. 305–320, Springer. ,
Présentations & posters sans abstract
- Sous-espaces hypercycliques dans les espaces de Fréchet, Journées du Gdr AFHP, Marne-La-Vallée, France, 2012. ,
- Introduction to linear dynamics, Ecole doctorale, Adam Mickiewicz University Poznan, Pologne, 2012. ,
- Sous-espaces hypercycliques dans les espaces de Fréchet, Séminaire d'Analyse Fonctionnelle, Lille, France, 2012. ,
- Topics in linear dynamics, Ecole doctorale, Universitat Politecnica de Valencia, Espagne, 2012. ,
- A new paradigm for chaos, Colloquium, Universität Würzburg, Allemagne, 2012. ,
- Common subspaces of hypercyclic vectors, 1st Joint conference of the Belgian, Royal Spanish and Luxembourg mathematical societies, Liège, Belgique, 2012. ,
- Trivializing classical inequalities, Functional Analysis: Applications of Complex Analysis, Bedlewo, Pologne, 2012. ,
- Hypercyclic subspaces and weighted shifts, Seminario del IUMPA, Universitat Politècnica de València, Spain, 2012. ,
- Bihypercyclic bilinear mappings, HCAA 2012 Harmonic and Complex Analysis, Puerto de la Cruz, Tenerife, Espagne, 2012. ,
- Recent developments in linear dynamics, 5th ILJU School of Mathematics, Gyeongju, Corée, 2012. ,
- Chaotisches Verhalten linearer Operatoren, Colloquium, Katholische Universität Eichstätt, Allemagne, 2012. ,
2011
Publications référencées
- Sous-espaces fermés de séries universelles sur un espace de Fréchet, Studia Mathematica, 207 (2011), pp. 181–195, Polish Axcademy of Science. ,
Vulgarisation
- Le chaos linéaire : un paradoxe ?, 2011. ,
- La compression d'image, 2011. ,
Ouvrages
- Linear Chaos, 2011, Springer Verlag. , ISBN: 978-1-4471-2169-5.
Éditeur invité
- Hypercyclicity and linear chaos, 2011, Springer. ,
Présentations & posters sans abstract
- Sous-espaces fermés de séries universelles, Journées 2011 du Gdr AFHA, Clermont-Ferrand, France, 2011. ,
- Sous-espaces hypercycliques et shifts à poids, Séminaire d'Initiation à l'Analyse, Paris, France, 2011. ,
- Frequently hypercyclic subspaces, Universal functions and hypercyclic operators 2011, Heraklion, Crète, Grèce, 2011. ,
- Construction versus Baire category in universality, Linear dynamics, La Laguna, Tenerife, Espagne, 2011. ,
- Recent developments in linear dynamics, Trimester on functional analysis, complex analysis and operator theory, Valencia, Espagne, 2011. ,
2010
Publications référencées
- Rate of growth of frequently hypercyclic functions, Proceedings of the Edinburgh Mathematical Society, 53 (2010), pp. 39–59, Cambridge University Press. , DOI: :10.1017/S0013091508000564.
- Weakly mixing operators on topological vector spaces, Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A Matemáticas [=RACSAM], 104 (2010), pp. 413–426, Real Academia de Ciencias Exactas, Fi´sicas y Naturales. ,
Publications (non référencées)
- Mathématique II . Syllabus d'exercices, notes de cours, 2010. ,
- Mathématiques I. Syllabus d'exercices, notes de cours, 2010. ,
2009
Publications référencées
- Universal functions for composition operators with non-automorphic symbol, Journal d'Analyse Mathématique, 107 (2009), pp. 355–376, Magnes Press. ,
2008
Publications référencées
- Abstract theory of universal series and applications, Proceedings of the London Mathematical Society, 96 (2008), pp. 417–463, Oxford University Press. ,
- The iterates of a map with dense orbit, Acta Scientiarum Mathematicarum, 74 (2008), Institutum Bolyaianum Universitatis Szegediensis. ,
2007
Publications référencées
- Existence and non-existence of hypercyclic semigroups, Proceedings of the American Mathematical Society, 135 (2007), pp. 755–766, American Mathematical Society. , ISSN: 0002-9939.
- Frequently hypercyclic operators and vectors, Ergodic Theory and Dynamical Systems, 27 (2007), pp. 383–404, Cambridge University Press. , DOI: 10.1017/S014338570600085X.
Actes de congrès avec peer-reviewing
- Dynamics of linear operators, Topics in complex analysis and operator theory, Malaga, Espagne, 2007. ,
2006
Publications référencées
- Weighted Hardy inequalities for decreasing sequences and functions, Mathematische Annalen, 334 (2006), pp. 489–531, Springer. ,
- On a theorem of Godefroy and Shapiro, Integral Equations and Operator Theory, 56 (2006), pp. 151–162, Birkhauser Verlag. , DOI: 10.1007/s00020-006-1423-.
2005
Publications référencées
- On series of positive terms, Houston Journal of Mathematics, 31 (2005), pp. 541–586, University of Houston. ,
- Frequently dense orbits, Comptes Rendus de l'Académie des Sciences. Série I. Mathématique, 341 (2005), pp. 123–128, Elsevier Masson. , DOI: 10.1016/j.crma.2005.05.025, ISSN: 1631-073X.
2004
Publications référencées
- A weak criterion for vector-valued holomorphy, Mathematical Proceedings of the Cambridge Philosophical Society, 136 (2004), pp. 399–411, Cambridge University Press. ,
2003
Publications référencées
- Sequential definitions of continuity for real functions, Rocky Mountain Journal of Mathematics, 33 (2003), pp. 93–121, Rocky Mountain Mathematics Consortium. ,
- The hypercyclicity criterion for sequences of operators, Studia Mathematica, 157 (2003), pp. 17–32, Polish Axcademy of Science. ,
- Recent developments in hypercyclicity, Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A Matemáticas [=RACSAM], 97 (2003), pp. 273–286, Real Academia de Ciencias Exactas, Fi´sicas y Naturales. ,
- Chaos for semigroups of unbounded operators, Mathematische Nachrichten, 261-262 (2003), pp. 47–59, Wiley. ,
2002
Publications référencées
- Strongly omnipresent operators: general conditions and applications to composition operators, Bulletin of the Australian Mathematical Society, 72 (2002), pp. 335–348, Cambridge University Press. ,
- Strongly omnipresent integral operators, Integral Equations and Operator Theory, 44 (2002), pp. 397–409, Birkhauser Verlag. ,
2001
Publications référencées
- On l1 -invariant sequence spaces, Journal of Mathematical Analysis & Applications, 262 (2001), pp. 112–132, Academic Press. ,
2000
Publications référencées
- Hypercyclic and chaotic weighted shifts, Studia Mathematica, 139 (2000), pp. 47–68, Polish Axcademy of Science. ,
- Rate of growth of hypercyclic entire functions, Indagationes Mathematicae, 11 (2000), pp. 561–571, Elsevier. ,
1999
Publications référencées
- Universal families and hypercyclic operators, Bulletin of the American Mathematical Society, 36 (1999), pp. 345–381, American Mathematical Society. ,
- Strong weighted mean summability and Kuttner’s theorem, Journal of the London Mathematical Society, 59 (1999), pp. 987–1002, London Mathematical Society. ,
1998
Ouvrages
- The blocking technique, weighted mean operators and Hardy’s inequality, 1998, Springer Verlag. ,
1997
Publications référencées
- On non-distinguished matrix domains, Results in Mathematics [=RM], 32 (1997), pp. 285–290, Springer - Birkha¨user. ,
1995
Publications référencées
- Characterization of summability points of Nörlund methods, Transactions of the American Mathematical Society, 347 (1995), pp. 2563–2574, American Mathematical Society. ,
- The locally convex topology on the space of meromorphic functions, Bulletin of the Australian Mathematical Society, 59 (1995), pp. 287–303, Cambridge University Press. ,
1994
Publications référencées
- L_phi -spaces and some related sequence spaces, Zeitschrift für Analysis und ihre Anwendung, 13 (1994), pp. 377–385, Heldermann Verlag. ,
1993
Publications référencées
- Matrix transformations between the sequence spaces of Maddox, Journal of Mathematical Analysis & Applications, 180 (1993), pp. 223–238, Academic Press. ,
- T -solid sequence spaces, Results in Mathematics [=RM], 23 (1993), pp. 303–321, Springer - Birkha¨user. ,
Publications (non référencées)
- On the Borel-Okada theorem and the Hadamard multiplication theorem, Complex Variables, 22 (1993), pp. 101–112, Taylor & Francis Ltd. ,
1992
Publications référencées
- The structure of the sequence spaces of Maddox, Canadian Journal of Mathematics, 44 (1992), pp. 298–307, University of Toronto Press. ,
- On the f -dual of sequence spaces, Archiv der Mathematik [=ADM], 58 (1992), pp. 575–581, Springer. ,
- Topologies on matrix spaces and universal matrices, Analysis, 12 (1992), pp. 47–56, Oxford University Press. ,
- The mu-continuity problem and the structure of matrix domains, Journal of the London Mathematical Society, 46 (1992), pp. 517–528, London Mathematical Society. ,
- Matrix transformations involving analytic sequence spaces, Mathematische Zeitschrift, 299 (1992), pp. 499–510, Springer. ,
1991
Publications référencées
- Lebesgue’s theorem of differentiation in Fr´echet lattices, Proceedings of the American Mathematical Society, 112 (1991), pp. 371–379, American Mathematical Society. ,
1990
Publications (non référencées)
- On the universal functions of G. R. MacLane, Complex Variables, 15 (1990), pp. 193–196, Taylor & Francis Ltd. ,
1989
Publications référencées
- Regularity properties of functional equations and inequalities, Aequationes Mathematicae, 37 (1989), pp. 233–251, Springer. ,
Publications (non référencées)
- An extension of the Steinhaus-Weil theorem, Colloquium Mathematicum, 57 (1989), pp. 307–317, Institute of Mathematics, Polish Academy of Sciences. ,
1987
Publications (non référencées)
- Holomorphe Monster und universelle Funktionen, Mitteilungen aus dem Mathematischen Seminar Giessen, 176 (1987), pp. 1–84, Mathematisches Seminar Giessen. ,