Edit Profile (opens in new tab) Giordano, Paolo Robuffo Co-Author Distance Author ID: giordano.paolo-robuffo Published as: Giordano, Paolo; Giordano, Paolo Robuffo; Robuffo Giordano, Paolo; Giordano, P. more...less Documents Indexed: 35 Publications since 2001, including 8 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 24 Co-Authors with 26 Joint Publications 630 Co-Co-Authors all top 5 Co-Authors 9 single-authored 6 Kunzinger, Michael 4 Baglini, Lorenzo Luperi 4 Franchi, Antonio 4 Tiwari, Diksha 3 Mukhammadiev, Akbarali 2 Bryzgalov, Aleksandr Anatol’evich 2 Vernaeve, Hans 2 Wu, Enxin 2 Zelazo, Daniel 1 Albeverio, Sergio A. 1 Apaaboah, G. 1 Bülthoff, Heinrich H. 1 Frederico, Gastão S. F. 1 Hoyet, Ludovic 1 Islami, Kevin 1 Katz, Mikhail G. 1 Lazo, Matheus Jatkoske 1 Lecke, Alexander 1 Michieletto, Giulia 1 Mucherino, Antonio 1 Multon, Franck 1 Nigsch, Eduard Albert 1 Omer, Jérémy 1 Vancheri, Alberto 1 Zampoli, Vittorio all top 5 Serials 4 Monatshefte für Mathematik 3 Advances in Mathematics 2 Journal of Mathematical Analysis and Applications 2 Mathematische Nachrichten 2 IEEE Transactions on Control of Network Systems 1 Israel Journal of Mathematics 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Acta Mathematica Universitatis Comenianae. New Series 1 Russian Journal of Mathematical Physics 1 Miskolc Mathematical Notes 1 Journal of Mathematical Physics, Analysis, Geometry 1 Unitext 1 Optimization Letters 1 Arabian Journal of Mathematics 1 Advances in Nonlinear Analysis all top 5 Fields 15 Functional analysis (46-XX) 12 Real functions (26-XX) 7 Mathematical logic and foundations (03-XX) 5 Global analysis, analysis on manifolds (58-XX) 2 Category theory; homological algebra (18-XX) 2 Partial differential equations (35-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Geometry (51-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Mechanics of deformable solids (74-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 23 Publications have been cited 92 times in 34 Documents Cited by ▼ Year ▼ Strongly internal sets and generalized smooth functions. Zbl 1328.46037 Giordano, Paolo; Kunzinger, Michael; Vernaeve, Hans 12 2015 Infinitesimals without logic. Zbl 1264.26035 Giordano, P. 10 2010 The ring of Fermat reals. Zbl 1205.26051 Giordano, Paolo 10 2010 A convenient notion of compact set for generalized functions. Zbl 1400.46036 Giordano, Paolo; Kunzinger, Michael 9 2017 Asymptotic gauges: generalization of Colombeau type algebras. Zbl 1380.46034 Giordano, Paolo; Baglini, Lorenzo Luperi 8 2016 The category of Colombeau algebras. Zbl 1373.46035 Baglini, Lorenzo Luperi; Giordano, Paolo 7 2017 New topologies on Colombeau generalized numbers and the Fermat-Reyes theorem. Zbl 1261.46032 Giordano, Paolo; Kunzinger, Michael 7 2013 Fermat-Reyes method in the ring of Fermat reals. Zbl 1238.03052 Giordano, Paolo 6 2011 The classical theory of calculus of variations for generalized functions. Zbl 1448.49008 Lecke, Alexander; Luperi Baglini, Lorenzo; Giordano, Paolo 6 2019 Infinite dimensional spaces and Cartesian closedness. Zbl 1237.58010 Giordano, Paolo 4 2011 Topological and algebraic structures on the ring of Fermat reals. Zbl 1275.26049 Giordano, Paolo; Kunzinger, Michael 4 2013 Unifying order structures for Colombeau algebras. Zbl 1333.46041 Giordano, Paolo; Nigsch, Eduard A. 3 2015 Supremum, infimum and hyperlimits in the non-Archimedean ring of Colombeau generalized numbers. Zbl 1483.46042 Mukhammadiev, A.; Tiwari, D.; Apaaboah, G.; Giordano, P. 3 2021 Online leader selection for improved collective tracking and formation maintenance. Zbl 1507.93008 Franchi, Antonio; Giordano, Paolo Robuffo 3 2018 Inverse function theorems for generalized smooth functions. Zbl 1394.46034 Giordano, Paolo; Kunzinger, Michael 2 2017 Infinitesimal differential geometry. Zbl 1102.58008 Giordano, P. 2 2004 Categorical frameworks for generalized functions. Zbl 1345.46062 Giordano, Paolo; Wu, Enxin 2 2015 Nilpotent infinitesimals and synthetic differential geometry in classical logic. Zbl 1022.03052 Giordano, Paolo 2 2001 On representations of a general solution in the theory of micropolar thermoelasticity without energy dissipation. Zbl 1164.74084 Svanadze, M.; Giordano, P.; Zampoli, V. 1 2007 Which numbers simplify your problem? Zbl 1325.12009 Giordano, Paolo 1 2014 Calculus of variations and optimal control for generalized functions. Zbl 1483.49024 Frederico, Gastão S. F.; Giordano, Paolo; Bryzgalov, Alexandr A.; Lazo, Matheus J. 1 2022 Hyperseries in the non-Archimedean ring of Colombeau generalized numbers. Zbl 1508.46032 Tiwari, Diksha; Giordano, Paolo 1 2022 Fermat reals: infinitesimals without logic. Zbl 1299.14002 Giordano, Paolo 1 2013 Calculus of variations and optimal control for generalized functions. Zbl 1483.49024 Frederico, Gastão S. F.; Giordano, Paolo; Bryzgalov, Alexandr A.; Lazo, Matheus J. 1 2022 Hyperseries in the non-Archimedean ring of Colombeau generalized numbers. Zbl 1508.46032 Tiwari, Diksha; Giordano, Paolo 1 2022 Supremum, infimum and hyperlimits in the non-Archimedean ring of Colombeau generalized numbers. Zbl 1483.46042 Mukhammadiev, A.; Tiwari, D.; Apaaboah, G.; Giordano, P. 3 2021 The classical theory of calculus of variations for generalized functions. Zbl 1448.49008 Lecke, Alexander; Luperi Baglini, Lorenzo; Giordano, Paolo 6 2019 Online leader selection for improved collective tracking and formation maintenance. Zbl 1507.93008 Franchi, Antonio; Giordano, Paolo Robuffo 3 2018 A convenient notion of compact set for generalized functions. Zbl 1400.46036 Giordano, Paolo; Kunzinger, Michael 9 2017 The category of Colombeau algebras. Zbl 1373.46035 Baglini, Lorenzo Luperi; Giordano, Paolo 7 2017 Inverse function theorems for generalized smooth functions. Zbl 1394.46034 Giordano, Paolo; Kunzinger, Michael 2 2017 Asymptotic gauges: generalization of Colombeau type algebras. Zbl 1380.46034 Giordano, Paolo; Baglini, Lorenzo Luperi 8 2016 Strongly internal sets and generalized smooth functions. Zbl 1328.46037 Giordano, Paolo; Kunzinger, Michael; Vernaeve, Hans 12 2015 Unifying order structures for Colombeau algebras. Zbl 1333.46041 Giordano, Paolo; Nigsch, Eduard A. 3 2015 Categorical frameworks for generalized functions. Zbl 1345.46062 Giordano, Paolo; Wu, Enxin 2 2015 Which numbers simplify your problem? Zbl 1325.12009 Giordano, Paolo 1 2014 New topologies on Colombeau generalized numbers and the Fermat-Reyes theorem. Zbl 1261.46032 Giordano, Paolo; Kunzinger, Michael 7 2013 Topological and algebraic structures on the ring of Fermat reals. Zbl 1275.26049 Giordano, Paolo; Kunzinger, Michael 4 2013 Fermat reals: infinitesimals without logic. Zbl 1299.14002 Giordano, Paolo 1 2013 Fermat-Reyes method in the ring of Fermat reals. Zbl 1238.03052 Giordano, Paolo 6 2011 Infinite dimensional spaces and Cartesian closedness. Zbl 1237.58010 Giordano, Paolo 4 2011 Infinitesimals without logic. Zbl 1264.26035 Giordano, P. 10 2010 The ring of Fermat reals. Zbl 1205.26051 Giordano, Paolo 10 2010 On representations of a general solution in the theory of micropolar thermoelasticity without energy dissipation. Zbl 1164.74084 Svanadze, M.; Giordano, P.; Zampoli, V. 1 2007 Infinitesimal differential geometry. Zbl 1102.58008 Giordano, P. 2 2004 Nilpotent infinitesimals and synthetic differential geometry in classical logic. Zbl 1022.03052 Giordano, Paolo 2 2001 all cited Publications top 5 cited Publications all top 5 Cited by 44 Authors 16 Giordano, Paolo Robuffo 5 Kunzinger, Michael 4 Baglini, Lorenzo Luperi 3 Tiwari, Diksha 2 Antonevich, Anatolij Borisovich 2 Bottazzi, Emanuele 2 Franchi, Antonio 2 Frederico, Gastão S. F. 2 Katz, Mikhail G. 2 Mukhammadiev, Akbarali 2 Nigsch, Eduard Albert 2 Vernaeve, Hans 2 Wu, Enxin 1 Apaaboah, G. 1 Ballotta, Luca 1 Barreto, Maria N. F. 1 Benci, Vieri 1 Błaszczyk, Piotr 1 Borovik, Alexandre V. 1 Bryzgalov, Aleksandr Anatol’evich 1 Carli, Ruggero 1 Chen, Kaile 1 Cortés López, Juan Carlos 1 Deguchi, Hideo 1 Han, Qinglong 1 He, Wangli 1 Hellman, Geoffrey 1 Lazo, Matheus Jatkoske 1 Lecke, Alexander 1 Nápoles Valdés, Juan E. 1 Oberguggenberger, Michael B. 1 Papadopoulos, Kyriakos 1 Rossi, Enrica 1 Sanders, Sam 1 Schenato, Luca 1 Shagova, Tat’yana Grigor’evna 1 Shahava, T. G. 1 Sherry, David M. 1 Shkadinskaia, E. V. 1 Squassina, Marco 1 Tang, Yang 1 Tognon, Marco 1 Vanterler da Costa Sousa, José 1 Xue, Mengqi all top 5 Cited in 19 Serials 5 Monatshefte für Mathematik 2 Journal of Mathematical Analysis and Applications 2 Advances in Mathematics 2 Automatica 2 Journal of Philosophical Logic 2 Mathematische Nachrichten 2 Foundations of Science 2 Advances in Nonlinear Analysis 1 Israel Journal of Mathematics 1 Rocky Mountain Journal of Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Indagationes Mathematicae. New Series 1 Journal of Mathematical Sciences (New York) 1 Matematychni Studiï 1 Journal of Pseudo-Differential Operators and Applications 1 Problemy Fiziki, Matematiki i Tekhniki 1 Arabian Journal of Mathematics 1 SN Partial Differential Equations and Applications all top 5 Cited in 20 Fields 20 Functional analysis (46-XX) 10 Real functions (26-XX) 5 Mathematical logic and foundations (03-XX) 3 Partial differential equations (35-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Systems theory; control (93-XX) 2 History and biography (01-XX) 2 Commutative algebra (13-XX) 2 Category theory; homological algebra (18-XX) 2 General topology (54-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) Citations by Year