The dynamics of complex urban systems: An interdisciplinary approach S Albeverio, D Andrey, P Giordano, A Vancheri Springer Science & Business Media, 2007 | 148 | 2007 |
The ring of Fermat reals P Giordano Advances in Mathematics 225 (4), 2050-2075, 2010 | 43 | 2010 |
Infinitesimals without logic P Giordano Russian Journal of Mathematical Physics 17 (2), 159-191, 2010 | 36 | 2010 |
Strongly internal sets and generalized smooth functions P Giordano, M Kunzinger, H Vernaeve Journal of Mathematical Analysis and Applications 422 (1), 56-71, 2015 | 31 | 2015 |
Urban growth processes joining cellular automata and multiagent systems. Part 1: theory and models A Vancheri, P Giordano, D Andrey, S Albeverio Environment and Planning B: Planning and Design 35 (4), 723-739, 2008 | 28 | 2008 |
Fermat Reals-Nilpotent Infinitesimals and Infinite Dimensional Spaces P Giordano arXiv preprint arXiv:0907.1872, 2009 | 25 | 2009 |
A convenient notion of compact set for generalized functions P Giordano, M Kunzinger Proceedings of the Edinburgh Mathematical Society 61 (1), 57-92, 2018 | 24 | 2018 |
Fermat–Reyes method in the ring of Fermat reals P Giordano Advances in Mathematics 228 (2), 862-893, 2011 | 24 | 2011 |
Asymptotic gauges: generalization of Colombeau type algebras P Giordano, L Luperi Baglini Mathematische Nachrichten 289 (2-3), 247-274, 2016 | 21 | 2016 |
Fuzzy evaluation of heterogeneous quantities: measuring urban ecological efficiency P Giordano, P Caputo, A Vancheri Ecological modelling 288, 112-126, 2014 | 20 | 2014 |
Topological and algebraic structures on the ring of Fermat reals P Giordano, M Kunzinger Israel Journal of mathematics 193 (1), 459-505, 2013 | 20 | 2013 |
Urban growth processes joining cellular automata and multiagent systems. Part 2: computer simulations A Vancheri, P Giordano, D Andrey, S Albeverio Environment and Planning B: Planning and Design 35 (5), 863-880, 2008 | 19 | 2008 |
New topologies on Colombeau generalized numbers and the Fermat–Reyes theorem P Giordano, M Kunzinger Journal of Mathematical Analysis and Applications 399 (1), 229-238, 2013 | 18 | 2013 |
Nilpotent infinitesimals and Synthetic Differential Geometry in classical logic P Giordano Reuniting the Antipodes—Constructive and Nonstandard Views of the Continuum …, 2001 | 17 | 2001 |
Inverse function theorems for generalized smooth functions P Giordano, M Kunzinger Generalized Functions and Fourier Analysis: Dedicated to Stevan Pilipović on …, 2017 | 15 | 2017 |
Infinite dimensional spaces and cartesian closedness P Giordano Журнал математической физики, анализа, геометрии, 225-284, 2011 | 15 | 2011 |
Infinitesimal differential geometry P Giordano arXiv preprint math/0308119, 2003 | 15 | 2003 |
The category of Colombeau algebras L Luperi Baglini, P Giordano Monatshefte für Mathematik 182, 649-674, 2017 | 14 | 2017 |
A Grothendieck topos of generalized functions I: basic theory P Giordano, M Kunzinger, H Vernaeve arXiv preprint arXiv:2101.04492, 2021 | 13 | 2021 |
Unifying order structures for Colombeau algebras P Giordano, EA Nigsch Mathematische Nachrichten 288 (11-12), 1286-1302, 2015 | 13 | 2015 |