Edit Profile (opens in new tab) Ross, David A. Co-Author Distance Author ID: ross.david-a Published as: Ross, David A.; Ross, David Documents Indexed: 45 Publications since 1986, including 2 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 8 Co-Authors with 6 Joint Publications 160 Co-Co-Authors all top 5 Co-Authors 23 single-authored 2 Bonn, Daniel 2 Cutland, Nigel J. 2 Meunier, Jacques 2 Mohapatra, Ram Narayan 1 Bertrand, Emanuel 1 Birdi, Alvin 1 Bohun, C. Sean 1 Broseta, Daniel 1 Brounds, John 1 Carr, Michael A. 1 Chandra, Jagdish 1 Davis, Paul William 1 Di Nasso, Mauro 1 Eliassi-Rad, Tina 1 Farrell, H. 1 Forcer, T. M. 1 Forshaw, Jeffrey R. 1 Henson, C. Ward 1 Hey, Anthony J. G. 1 Hudson, Peter J. 1 Indekeu, Joseph O. 1 Johnson, P. D. jun. 1 Keßler, Christoph W. 1 Kopp, Peter Ekkehard 1 Laurenson, M. Karen 1 Lewandowsky, S. 1 Lim, Jongwoo 1 Lindstrøm, Tom L. 1 Loeb, Peter A. 1 McGee, Bruce 1 Migler, Kalman B. 1 Moretti, Stefano 1 Nathanson, Melvyn Bernard 1 Nolten, M. R. 1 Norman, Rachel 1 Pathak, Jai A. 1 Posazhennikova, A. I. 1 Ragil, Karine 1 Salzmann, Frank L. 1 Shahidzadeh, Noushine 1 Smith, P. G. R. 1 Sornette, Didier 1 Thébault, Karim P. Y. 1 Volakis, John L. 1 Wiesner, Karoline 1 Wu, Amy 1 Yang, Ming-Hsuan 1 Zelenyuk, Yevhen G. 1 Zemel, Richard S. all top 5 Serials 6 Proceedings of the American Mathematical Society 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 The Journal of Symbolic Logic 1 American Mathematical Monthly 1 Computers & Mathematics with Applications 1 European Journal of Physics 1 Journal of Mathematical Biology 1 Journal of Statistical Physics 1 Nuclear Physics. B 1 Physica A 1 Physics Letters. B 1 The Annals of Probability 1 The British Journal for the Philosophy of Science 1 Canadian Mathematical Bulletin 1 Fundamenta Mathematicae 1 Illinois Journal of Mathematics 1 Mathematica Scandinavica 1 Monatshefte für Mathematik 1 Real Analysis Exchange 1 Topology and its Applications 1 The Canadian Applied Mathematics Quarterly 1 Physics of Fluids 1 Mathematical Logic Quarterly (MLQ) 1 IEEE Transactions on Antennas and Propagation 1 Journal of Machine Learning Research (JMLR) 1 Lecture Notes in Logic 1 Journal of Fixed Point Theory and Applications 1 Quantum Information & Computation 1 Games all top 5 Fields 18 Measure and integration (28-XX) 15 Mathematical logic and foundations (03-XX) 8 Real functions (26-XX) 3 Functional analysis (46-XX) 3 Computer science (68-XX) 3 Quantum theory (81-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 2 Field theory and polynomials (12-XX) 2 Operator theory (47-XX) 2 General topology (54-XX) 2 Probability theory and stochastic processes (60-XX) 2 Fluid mechanics (76-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Ordinary differential equations (34-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 44 times in 41 Documents Cited by ▼ Year ▼ On Cauchy’s notion of infinitesimal. Zbl 0661.26010 Cutland, Nigel; Kessler, Christoph; Kopp, P. Ekkehard; Ross, David 16 1988 The special model axiom in nonstandard analysis. Zbl 0721.03049 Ross, David 13 1990 Bounds for the operator norms of some Nörlund matrices. Zbl 0846.40007 Johnson, P. D. jun.; Mohapatra, R. N.; Ross, David 11 1996 Loeb measure and probability. Zbl 0904.28015 Ross, David A. 7 1997 Compact measures have Loeb preimages. Zbl 0755.28009 Ross, David 6 1992 Analytic mappings on hyperfinite sets. Zbl 0784.03038 Henson, C. Ward; Ross, David 6 1993 Learning parts-based representations of data. Zbl 1222.68289 Ross, David A.; Zemel, Richard S. 5 2006 Random sets without separability. Zbl 0593.60018 Ross, David 5 1986 An elementary proof of Lyapunov’s theorem. Zbl 1122.28002 Ross, David A. 4 2005 Elastic flow instability, curved streamlines, and mixing in microfluidic flows. Zbl 1187.76406 Pathak, Jai A.; Ross, David; Migler, Kalman B. 4 2004 Lifting theorems in nonstandard measure theory. Zbl 0709.28015 Ross, David 4 1990 Wetting transitions. Zbl 0994.82091 Bonn, Daniel; Ross, David; Bertrand, Emanuel; Ragil, Karine; Shahidzadeh, Noushine; Broseta, Daniel; Meunier, Jacques 3 2002 Superposition, entanglement and quantum computation. Zbl 1173.68883 Forcer, T. M.; Hey, A. J. G.; Ross, D. A.; Smith, P. G. R. 3 2002 Automorphisms of the Loeb algebra. Zbl 0633.28010 Ross, David 2 1987 Infinite products of infinite measures. Zbl 1083.28003 Loeb, Peter A.; Ross, David A. 2 2005 A nonstandard proof of a lemma from constructive measure theory. Zbl 1109.03071 Ross, David A. 2 2006 Pushing down infinite Loeb measures. Zbl 1160.28005 Ross, David A. 2 2009 Selectionable distributions for a random set. Zbl 0718.60008 Ross, David 2 1990 Unions of Loeb nullsets. Zbl 0856.28010 Ross, David A. 2 1996 The constructive content of nonstandard measure existence proofs – is there any? Zbl 1012.28016 Ross, David A. 2 2001 Evolutionary game between commensal and pathogenic microbes in intestinal microbiota. Zbl 1395.92090 Wu, Amy; Ross, David 2 2016 Stability of democracies: a complex systems perspective. Zbl 1420.91387 Wiesner, K.; Birdi, A.; Eliassi-Rad, T.; Farrell, H.; Garcia, D.; Lewandowsky, S.; Palacios, P.; Ross, D.; Sornette, D.; Thébault, K. 2 2019 Yet another short proof of the Riesz representation theorem. Zbl 0665.28007 Ross, David 1 1989 Weak corrections to four-parton processes. Zbl 1116.81374 Moretti, S.; Nolten, M. R.; Ross, D. A. 1 2006 Norm inequalities which yield inclusion for Euler sequence spaces. Zbl 0838.46023 Mohapatra, R. N.; Salzmann, F.; Ross, D. 1 1995 Solving the BFKL equation with running coupling. Zbl 0972.81204 Forshaw, J. R.; Ross, D. A.; Sabio Vera, A. 1 2001 Adaptive probabilistic visual tracking with incremental subspace update. Zbl 1098.68851 Ross, David; Lim, Jongwoo; Yang, Ming-Hsuan 1 2004 Nonstandard methods and applications in mathematics. Zbl 1083.03005 1 2006 Loeb measure, finitely additive measures, and a theorem of Banach. Zbl 1176.28019 Ross, David A. 1 2009 The role of non-viraemic transmission on the persistence and dynamics of a tick borne virus-louping ill in red grouse (Lagopus lagopus scoticus) and mountain hares (Lepus timidus). Zbl 1058.92040 Norman, Rachel; Ross, David; Laurenson, M. Karen; Hudson, Peter J. 1 2004 Stability of democracies: a complex systems perspective. Zbl 1420.91387 Wiesner, K.; Birdi, A.; Eliassi-Rad, T.; Farrell, H.; Garcia, D.; Lewandowsky, S.; Palacios, P.; Ross, D.; Sornette, D.; Thébault, K. 2 2019 Evolutionary game between commensal and pathogenic microbes in intestinal microbiota. Zbl 1395.92090 Wu, Amy; Ross, David 2 2016 Pushing down infinite Loeb measures. Zbl 1160.28005 Ross, David A. 2 2009 Loeb measure, finitely additive measures, and a theorem of Banach. Zbl 1176.28019 Ross, David A. 1 2009 Learning parts-based representations of data. Zbl 1222.68289 Ross, David A.; Zemel, Richard S. 5 2006 A nonstandard proof of a lemma from constructive measure theory. Zbl 1109.03071 Ross, David A. 2 2006 Weak corrections to four-parton processes. Zbl 1116.81374 Moretti, S.; Nolten, M. R.; Ross, D. A. 1 2006 Nonstandard methods and applications in mathematics. Zbl 1083.03005 1 2006 An elementary proof of Lyapunov’s theorem. Zbl 1122.28002 Ross, David A. 4 2005 Infinite products of infinite measures. Zbl 1083.28003 Loeb, Peter A.; Ross, David A. 2 2005 Elastic flow instability, curved streamlines, and mixing in microfluidic flows. Zbl 1187.76406 Pathak, Jai A.; Ross, David; Migler, Kalman B. 4 2004 Adaptive probabilistic visual tracking with incremental subspace update. Zbl 1098.68851 Ross, David; Lim, Jongwoo; Yang, Ming-Hsuan 1 2004 The role of non-viraemic transmission on the persistence and dynamics of a tick borne virus-louping ill in red grouse (Lagopus lagopus scoticus) and mountain hares (Lepus timidus). Zbl 1058.92040 Norman, Rachel; Ross, David; Laurenson, M. Karen; Hudson, Peter J. 1 2004 Wetting transitions. Zbl 0994.82091 Bonn, Daniel; Ross, David; Bertrand, Emanuel; Ragil, Karine; Shahidzadeh, Noushine; Broseta, Daniel; Meunier, Jacques 3 2002 Superposition, entanglement and quantum computation. Zbl 1173.68883 Forcer, T. M.; Hey, A. J. G.; Ross, D. A.; Smith, P. G. R. 3 2002 The constructive content of nonstandard measure existence proofs – is there any? Zbl 1012.28016 Ross, David A. 2 2001 Solving the BFKL equation with running coupling. Zbl 0972.81204 Forshaw, J. R.; Ross, D. A.; Sabio Vera, A. 1 2001 Loeb measure and probability. Zbl 0904.28015 Ross, David A. 7 1997 Bounds for the operator norms of some Nörlund matrices. Zbl 0846.40007 Johnson, P. D. jun.; Mohapatra, R. N.; Ross, David 11 1996 Unions of Loeb nullsets. Zbl 0856.28010 Ross, David A. 2 1996 Norm inequalities which yield inclusion for Euler sequence spaces. Zbl 0838.46023 Mohapatra, R. N.; Salzmann, F.; Ross, D. 1 1995 Analytic mappings on hyperfinite sets. Zbl 0784.03038 Henson, C. Ward; Ross, David 6 1993 Compact measures have Loeb preimages. Zbl 0755.28009 Ross, David 6 1992 The special model axiom in nonstandard analysis. Zbl 0721.03049 Ross, David 13 1990 Lifting theorems in nonstandard measure theory. Zbl 0709.28015 Ross, David 4 1990 Selectionable distributions for a random set. Zbl 0718.60008 Ross, David 2 1990 Yet another short proof of the Riesz representation theorem. Zbl 0665.28007 Ross, David 1 1989 On Cauchy’s notion of infinitesimal. Zbl 0661.26010 Cutland, Nigel; Kessler, Christoph; Kopp, P. Ekkehard; Ross, David 16 1988 Automorphisms of the Loeb algebra. Zbl 0633.28010 Ross, David 2 1987 Random sets without separability. Zbl 0593.60018 Ross, David 5 1986 all cited Publications top 5 cited Publications all top 5 Cited by 63 Authors 12 Katz, Mikhail G. 6 Katz, Karin Usadi 4 Sherry, David M. 3 Błaszczyk, Piotr 3 Kanovei, Vladimir G. 3 Kutateladze, Semën Samsonovich 2 Benci, Vieri 2 Borovik, Alexandre V. 2 Bottazzi, Emanuele 2 Di Nasso, Mauro 2 Duanmu, Haosui 2 Giordano, Paolo Robuffo 2 Jiao, Licheng 2 Jin, Renling 2 Khan, Mohammed Ali 2 Sanders, Sam 2 Weiss, William A. R. 1 Alam, Irfan 1 Alexandrov, Boian S. 1 Baglini, Lorenzo Luperi 1 Bascelli, Tiziana 1 Candela, Pablo 1 Dai, Peng 1 Davidson, Ian 1 Feinberg, Eugene Aleksandrovich 1 Ghosh, Aniruddha 1 Goldbring, Isaac 1 Gong, Haifeng 1 Hossain, M. Shahriar 1 Karra, Satish 1 Kudryk, Taras S. 1 Li, Shenggang 1 Ma, Chunhui 1 McGaffey, Thomas 1 Mormann, Thomas 1 Mudunuru, Maruti Kumar 1 O’Malley, Daniel 1 Pantsulaia, Gogi Rauli 1 Perlis, Don 1 Ramakrishnan, Naren 1 Rath, Kali P. 1 Ross, David A. 1 Sampedro, Juan Carlos 1 Schaps, David M. 1 Schrittesser, David 1 Shang, Fanhua 1 Shang, Ronghua 1 Shelah, Saharon 1 Shi, Yanwei 1 Si, Zhangzhang 1 Szegedy, Balázs 1 Tall, David 1 Tourky, Rabee 1 Uyanık, Metin 1 Vesselinov, Velimir V. 1 Wang, Fei 1 Wang, Wenbing 1 Watson, Layne Terry 1 Wu, Yingnian 1 Yang, Shuyuan 1 Yannelis, Nicholas Constantine 1 Zhang, Zhu 1 Zhu, Song-Chun all top 5 Cited in 30 Serials 8 Foundations of Science 2 Pattern Recognition 2 Expositiones Mathematicae 1 International Journal of Mathematical Education in Science and Technology 1 Journal of Computational Physics 1 Advances in Mathematics 1 Commentationes Mathematicae Universitatis Carolinae 1 Fundamenta Mathematicae 1 Journal of Economic Theory 1 Journal für die Reine und Angewandte Mathematik 1 The Journal of Symbolic Logic 1 Mathematische Nachrichten 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Real Analysis Exchange 1 Annals of Pure and Applied Logic 1 Statistical Science 1 Journal of Theoretical Probability 1 Indagationes Mathematicae. New Series 1 Positivity 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Data Mining and Knowledge Discovery 1 Erkenntnis 1 Acta Mathematica Sinica. English Series 1 Logica Universalis 1 Journal of Applied and Industrial Mathematics 1 Journal of Logic and Analysis 1 Games 1 Perspectives on Science 1 Open Mathematics all top 5 Cited in 22 Fields 18 Real functions (26-XX) 15 Mathematical logic and foundations (03-XX) 13 Measure and integration (28-XX) 10 History and biography (01-XX) 4 Functional analysis (46-XX) 4 Computer science (68-XX) 3 General and overarching topics; collections (00-XX) 3 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year