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Miller, Chris

Compute Distance To:
 Author ID: miller.chris Published as: Miller, Chris Homepage: https://people.math.osu.edu/miller.1987/ External Links: MGP · dblp
 Documents Indexed: 37 Publications since 1994, including 1 Book
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Co-Authors

 10 single-authored 6 Speissegger, Patrick 4 van den Dries, Lou 3 Dolich, Alfred 3 Friedman, Harvey M. 3 Steinhorn, Charles I. 2 Edgar, Gerald Arthur 2 Hieronymi, Philipp 1 Dougherty, Randall L. 1 Fornasiero, Antongiulio 1 Kurdyka, Krzysztof 1 Lafferriere, Gerardo 1 Lion, Jean-Marie 1 Marker, David E. 1 Rolin, Jean-Philippe 1 Starchenko, Sergei 1 Tyne, James
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Serials

 7 Proceedings of the American Mathematical Society 5 The Journal of Symbolic Logic 3 Israel Journal of Mathematics 3 Transactions of the American Mathematical Society 2 Fundamenta Mathematicae 2 Annals of Pure and Applied Logic 1 Annales de l’Institut Fourier 1 Canadian Mathematical Bulletin 1 Duke Mathematical Journal 1 Illinois Journal of Mathematics 1 Notre Dame Journal of Formal Logic 1 Real Analysis Exchange 1 Revista Matemática de la Universidad Complutense de Madrid 1 Fields Institute Communications
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Fields

 32 Mathematical logic and foundations (03-XX) 11 Field theory and polynomials (12-XX) 8 Real functions (26-XX) 6 Measure and integration (28-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Ordinary differential equations (34-XX) 3 Algebraic geometry (14-XX) 3 Several complex variables and analytic spaces (32-XX) 3 General topology (54-XX) 2 Group theory and generalizations (20-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX) 1 Systems theory; control (93-XX)

Citations contained in zbMATH

33 Publications have been cited 570 times in 340 Documents Cited by Year
Geometric categories and o-minimal structures. Zbl 0889.03025
van den Dries, Lou; Miller, Chris
1996
On the real exponential field with restricted analytic functions. Zbl 0823.03017
van den Dries, Lou; Miller, Chris
1994
Expansions of the real field with power functions. Zbl 0823.03018
Miller, Chris
1994
Exponentiation is hard to avoid. Zbl 0808.03022
Miller, Chris
1994
Tameness in expansions of the real field. Zbl 1081.03037
Miller, Chris
2005
Infinite differentiability in polynomially bounded o-minimal structures. Zbl 0823.03019
Miller, Chris
1995
Structures having o-minimal open core. Zbl 1197.03042
Dolich, Alfred; Miller, Chris; Steinhorn, Charles
2010
Expansions of dense linear orders with the intermediate value property. Zbl 1001.03039
Miller, Chris
2001
Expansions of the real line by open sets: o-minimality and open cores. Zbl 0946.03045
Miller, Chris; Speissegger, Patrick
1999
A growth dichotomy for o-minimal expansions of ordered groups. Zbl 0904.03022
Miller, Chris; Starchenko, Sergei
1998
Borel subrings of the reals. Zbl 1043.28003
Edgar, G. A.; Miller, Chris
2003
Expansions of o-minimal structures by dense independent sets. Zbl 1432.03070
Dolich, Alfred; Miller, Chris; Steinhorn, Charles
2016
Expansions of o-minimal structures by fast sequences. Zbl 1089.03031
Friedman, Harvey; Miller, Chris
2005
Extending Tamm’s theorem. Zbl 0816.32004
van den Dries, Lou; Miller, Chris
1994
Expansions of o-minimal structures by iteration sequences. Zbl 1107.03040
Miller, Chris; Tyne, James
2006
Expansions of o-minimal structures by sparse sets. Zbl 0973.03050
Friedman, Harvey; Miller, Chris
2001
Levelled O-minimal structures. Zbl 0879.03012
Marker, David; Miller, Chris
1997
Differential equations over polynomially bounded o-minimal structures. Zbl 1007.03039
Lion, Jean-Marie; Miller, Chris; Speissegger, Patrick
2003
Expansions of o-minimal structures on the real field by trajectories of linear vector fields. Zbl 1220.03035
Miller, Chris
2011
A growth dichotomy for o-minimal expansions of ordered fields. Zbl 0887.03031
Miller, Chris
1996
Expansions of the real field by open sets: definability versus interpretability. Zbl 1220.03030
Friedman, Harvey; Kurdyka, Krzysztof; Miller, Chris; Speissegger, Patrick
2010
Avoiding the projective hierarchy in expansions of the real field by sequences. Zbl 1093.03023
Miller, Chris
2006
Definable Boolean combinations of open sets are Boolean combinations of open definable sets. Zbl 0991.54006
Dougherty, Randall; Miller, Chris
2001
D-minimal expansions of the real field have the zero set property. Zbl 06963426
Miller, Chris; Thamrongthanyalak, Athipat
2018
A dichotomy for expansions of the real field. Zbl 1294.03028
Fornasiero, Antongiulio; Hieronymi, Philipp; Miller, Chris
2013
Pfaffian differential equations over exponential o-minimal structures. Zbl 1007.03038
Miller, Chris; Speissegger, Patrick
2002
Metric dimensions and tameness in expansions of the real field. Zbl 07174508
Hieronymi, Philipp; Miller, Chris
2020
Points of bounded height on oscillatory sets. Zbl 1402.32011
Comte, Georges; Miller, Chris
2017
Hausdorff dimension, analytic sets and transcendence. Zbl 1082.28002
Edgar, G. A.; Miller, Chris
2002
Correction to ”On the real exponential field with restricted analytic functions”. Zbl 0973.03514
van den Dries, Lou; Miller, Chris
1995
Examples of $$k$$-regular maps and interpolation spaces. Zbl 1375.14203
Michałek, Mateusz; Miller, Chris
2017
Extensions of ordered theories by generic predicates. Zbl 1294.03027
Dolich, Alfred; Miller, Chris; Steinhorn, Charles
2013
An extension of Hölder’s theorem on the Gamma function. Zbl 0901.46023
Miller, Chris
1997
Metric dimensions and tameness in expansions of the real field. Zbl 07174508
Hieronymi, Philipp; Miller, Chris
2020
D-minimal expansions of the real field have the zero set property. Zbl 06963426
Miller, Chris; Thamrongthanyalak, Athipat
2018
Points of bounded height on oscillatory sets. Zbl 1402.32011
Comte, Georges; Miller, Chris
2017
Examples of $$k$$-regular maps and interpolation spaces. Zbl 1375.14203
Michałek, Mateusz; Miller, Chris
2017
Expansions of o-minimal structures by dense independent sets. Zbl 1432.03070
Dolich, Alfred; Miller, Chris; Steinhorn, Charles
2016
A dichotomy for expansions of the real field. Zbl 1294.03028
Fornasiero, Antongiulio; Hieronymi, Philipp; Miller, Chris
2013
Extensions of ordered theories by generic predicates. Zbl 1294.03027
Dolich, Alfred; Miller, Chris; Steinhorn, Charles
2013
Expansions of o-minimal structures on the real field by trajectories of linear vector fields. Zbl 1220.03035
Miller, Chris
2011
Structures having o-minimal open core. Zbl 1197.03042
Dolich, Alfred; Miller, Chris; Steinhorn, Charles
2010
Expansions of the real field by open sets: definability versus interpretability. Zbl 1220.03030
Friedman, Harvey; Kurdyka, Krzysztof; Miller, Chris; Speissegger, Patrick
2010
Expansions of o-minimal structures by iteration sequences. Zbl 1107.03040
Miller, Chris; Tyne, James
2006
Avoiding the projective hierarchy in expansions of the real field by sequences. Zbl 1093.03023
Miller, Chris
2006
Tameness in expansions of the real field. Zbl 1081.03037
Miller, Chris
2005
Expansions of o-minimal structures by fast sequences. Zbl 1089.03031
Friedman, Harvey; Miller, Chris
2005
Borel subrings of the reals. Zbl 1043.28003
Edgar, G. A.; Miller, Chris
2003
Differential equations over polynomially bounded o-minimal structures. Zbl 1007.03039
Lion, Jean-Marie; Miller, Chris; Speissegger, Patrick
2003
Pfaffian differential equations over exponential o-minimal structures. Zbl 1007.03038
Miller, Chris; Speissegger, Patrick
2002
Hausdorff dimension, analytic sets and transcendence. Zbl 1082.28002
Edgar, G. A.; Miller, Chris
2002
Expansions of dense linear orders with the intermediate value property. Zbl 1001.03039
Miller, Chris
2001
Expansions of o-minimal structures by sparse sets. Zbl 0973.03050
Friedman, Harvey; Miller, Chris
2001
Definable Boolean combinations of open sets are Boolean combinations of open definable sets. Zbl 0991.54006
Dougherty, Randall; Miller, Chris
2001
Expansions of the real line by open sets: o-minimality and open cores. Zbl 0946.03045
Miller, Chris; Speissegger, Patrick
1999
A growth dichotomy for o-minimal expansions of ordered groups. Zbl 0904.03022
Miller, Chris; Starchenko, Sergei
1998
Levelled O-minimal structures. Zbl 0879.03012
Marker, David; Miller, Chris
1997
An extension of Hölder’s theorem on the Gamma function. Zbl 0901.46023
Miller, Chris
1997
Geometric categories and o-minimal structures. Zbl 0889.03025
van den Dries, Lou; Miller, Chris
1996
A growth dichotomy for o-minimal expansions of ordered fields. Zbl 0887.03031
Miller, Chris
1996
Infinite differentiability in polynomially bounded o-minimal structures. Zbl 0823.03019
Miller, Chris
1995
Correction to ”On the real exponential field with restricted analytic functions”. Zbl 0973.03514
van den Dries, Lou; Miller, Chris
1995
On the real exponential field with restricted analytic functions. Zbl 0823.03017
van den Dries, Lou; Miller, Chris
1994
Expansions of the real field with power functions. Zbl 0823.03018
Miller, Chris
1994
Exponentiation is hard to avoid. Zbl 0808.03022
Miller, Chris
1994
Extending Tamm’s theorem. Zbl 0816.32004
van den Dries, Lou; Miller, Chris
1994
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Cited by 304 Authors

 21 Miller, Chris 15 Fischer, Andreas M. 13 Hieronymi, Philipp 13 Phạm Tiên So’n 12 Kaiser, Tobias 11 Speissegger, Patrick 10 Peterzil, Ya’acov 9 Bolte, Jérôme 9 Pierzchała, Rafał 9 Starchenko, Sergei 8 Drusvyatskiy, Dmitriy 8 Lewis, Adrian S. 8 Pila, Jonathan 7 Edmundo, Mário J. 7 Eleftheriou, Pantelis E. 7 Fornasiero, Antongiulio 7 Lion, Jean-Marie 6 Daniilidis, Aris 6 Ioffe, Alexander Davidovich 6 Rolin, Jean-Philippe 6 Thamrongthanyalak, Athipat 6 Tsimerman, Jacob 5 Berenstein, Alexander 5 Servi, Tamara 5 Valette, Guillaume 5 van den Dries, Lou 5 Vassiliev, Evgueni V. 4 da Cruz Neto, João Xavier 4 Fujita, Masato 4 Kurdyka, Krzysztof 4 Le Gal, Olivier 4 Miller, Daniel J. 4 Nadler, David 4 Soubeyran, Antoine 4 Walsberg, Erik 4 Wilkie, Alex James 4 Wu, Chunlin 3 Bernig, Andreas 3 Bianconi, Ricardo 3 Cluckers, Raf 3 Comte, Georges 3 Dinh, Si Tiep 3 Dolich, Alfred 3 Elkhadiri, Abdelhafed 3 Friedman, Harvey M. 3 Gehret, Allen 3 Hà Huy Vui 3 Jones, Gareth Owen 3 Lee, Gue Myung 3 Loi, Ta Le 3 Macintyre, Angus John 3 Nell, Travis 3 Nicolaescu, Liviu I. 3 Pauwels, Edouard Jean Robert 3 Prelli, Luca 3 Ramakrishnan, Janak D. 3 Sanz Sánchez, Fernando 3 Shiota, Masahiro 3 Tychonievich, Michael A. 2 Aschenbrenner, Matthias 2 Attouch, Hedy 2 Bakker, Benjamin 2 Baro, Elías 2 Bento, Glaydston C. 2 Bierstone, Edward 2 Brihaye, Thomas 2 Cucker, Felipe 2 De Saxcé, Nicolas 2 Delzell, Charles N. 2 Dutertre, Nicolas 2 Fadili, Jalal M. 2 Grandjean, Vincent 2 Günaydın, Ayhan 2 Habegger, Philipp 2 Hasson, Assaf 2 Helfgott, Harald Andrés 2 Hermosilla, Cristopher 2 Kawakami, Tomohiro 2 Klingler, Bruno 2 Ley, Olivier 2 Michaux, Christian 2 Nguyen, Nhan T. 2 Oliveira, Paulo Roberto 2 Onshuus, Alf Angel 2 Pawłucki, Wiesław 2 Point, Françoise 2 Richardson, Dan 2 Scanlon, Thomas J. 2 Steinhorn, Charles I. 2 Trélat, Emmanuel 2 Tyne, James 2 Ullmo, Emmanuel 2 Yafaev, Andrei 2 Yin, Yimu 2 Zaslow, Eric 1 Agostiniani, Virginia 1 Alexander, Samuel A. 1 Avigad, Jeremy 1 Bar-Yehuda, Elitzur 1 Barriga, Eliana ...and 204 more Authors
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Cited in 105 Serials

 27 Annals of Pure and Applied Logic 24 Proceedings of the American Mathematical Society 22 The Journal of Symbolic Logic 16 Annales de l’Institut Fourier 11 Advances in Mathematics 11 Transactions of the American Mathematical Society 10 Israel Journal of Mathematics 10 Duke Mathematical Journal 8 Mathematical Programming. Series A. Series B 8 SIAM Journal on Optimization 7 Journal of Optimization Theory and Applications 7 Archive for Mathematical Logic 6 Illinois Journal of Mathematics 6 Mathematical Logic Quarterly (MLQ) 5 Journal of Mathematical Analysis and Applications 5 Compositio Mathematica 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Selecta Mathematica. New Series 4 Journal d’Analyse Mathématique 4 Journal of Pure and Applied Algebra 4 Annals of Mathematics. Second Series 4 Advances in Geometry 4 Journal of the Institute of Mathematics of Jussieu 3 Fundamenta Mathematicae 3 Journal of Differential Equations 3 Mathematics of Operations Research 3 Mathematische Zeitschrift 3 Notre Dame Journal of Formal Logic 3 Theoretical Computer Science 3 Journal of the American Mathematical Society 3 Bulletin of the American Mathematical Society. New Series 3 The Bulletin of Symbolic Logic 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Acta Mathematica Vietnamica 2 Archiv der Mathematik 2 Journal of Functional Analysis 2 Journal of the Mathematical Society of Japan 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Annalen 2 Nagoya Mathematical Journal 2 Journal of Complexity 2 Discrete & Computational Geometry 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Journal of Mathematical Imaging and Vision 2 Advances in Computational Mathematics 2 Positivity 2 Geometry & Topology 2 Set-Valued and Variational Analysis 1 Bulletin of the Australian Mathematical Society 1 Communications in Algebra 1 Inverse Problems 1 Algebra Universalis 1 Annals of the Institute of Statistical Mathematics 1 Annales Polonici Mathematici 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Canadian Mathematical Bulletin 1 Collectanea Mathematica 1 Geometriae Dedicata 1 Publications Mathématiques 1 Journal of Algebra 1 Journal of Approximation Theory 1 Journal of Combinatorial Theory. Series B 1 Journal of the London Mathematical Society. Second Series 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Mathematika 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the Japan Academy. Series A 1 Proceedings of the London Mathematical Society. Third Series 1 Topology and its Applications 1 Operations Research Letters 1 Annals of Global Analysis and Geometry 1 Bulletin of the Iranian Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Optimization 1 Journal of Symbolic Computation 1 Constructive Approximation 1 Revista Matemática Iberoamericana 1 Information and Computation 1 L’Enseignement Mathématique. 2e Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 The Australasian Journal of Combinatorics 1 Potential Analysis 1 Applied and Computational Harmonic Analysis 1 Bulletin des Sciences Mathématiques 1 Discrete and Continuous Dynamical Systems 1 The Journal of Fourier Analysis and Applications 1 International Journal of Shape Modeling 1 Analysis (München) 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Mathematical Logic 1 Foundations of Computational Mathematics 1 Computational Methods and Function Theory 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Central European Journal of Mathematics 1 Journal of Algebra and its Applications 1 SIAM Journal on Imaging Sciences ...and 5 more Serials
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Cited in 44 Fields

 203 Mathematical logic and foundations (03-XX) 100 Algebraic geometry (14-XX) 79 Several complex variables and analytic spaces (32-XX) 40 Real functions (26-XX) 39 Calculus of variations and optimal control; optimization (49-XX) 35 Number theory (11-XX) 33 Field theory and polynomials (12-XX) 32 Operations research, mathematical programming (90-XX) 23 Order, lattices, ordered algebraic structures (06-XX) 18 Global analysis, analysis on manifolds (58-XX) 18 Numerical analysis (65-XX) 17 Differential geometry (53-XX) 14 Measure and integration (28-XX) 14 Ordinary differential equations (34-XX) 13 Topological groups, Lie groups (22-XX) 12 Dynamical systems and ergodic theory (37-XX) 11 Group theory and generalizations (20-XX) 11 Functions of a complex variable (30-XX) 11 Manifolds and cell complexes (57-XX) 10 Commutative algebra (13-XX) 10 Computer science (68-XX) 9 General topology (54-XX) 7 Functional analysis (46-XX) 6 Operator theory (47-XX) 6 Algebraic topology (55-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Information and communication theory, circuits (94-XX) 4 Combinatorics (05-XX) 4 Partial differential equations (35-XX) 4 Approximations and expansions (41-XX) 4 Convex and discrete geometry (52-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistics (62-XX) 3 Systems theory; control (93-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Special functions (33-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX)