You can find my publications below, or alternatively look on DBLP. You can find notes and addentum at the bottom of the page.

- Submitted
- On the Decidability of Reachability in Linear Time-Invariant Systems (arXiv)

Nathanaël Fijalkow, Joel Ouaknine, Amaury Pouly, João Sousa-Pinto and James Worrell

- Explicit Error Bounds for Carleman Linearization (arXiv)

Marcelo Forets and Amaury Pouly

- Polynomial Invariants for Affine Programs (arXiv)

Ehud Hrushovski, Joel Ouaknine, Amaury Pouly and James Worrell

- 2017
- On the Functions Generated by the General Purpose Analog Computer (arXiv)

Olivier Bournez, Daniel Silva Graça and Amaury Pouly

Inform. Comput.Information and Computation, 2017

- Polynomial Time corresponds to Solutions of Polynomial Ordinary Differential Equations of Polynomial Length (Journal version) (arXiv)

Olivier Bournez, Daniel Silva Graça and Amaury Pouly

J. ACM (JACM)Journal of the ACM (JACM), 64:38:1-38:76, 2017

- Semialgebraic Invariant Synthesis for the Kannan-Lipton Orbit Problem (arXiv)

Nathanaël Fijalkow, Pierre Ohlmann, Joel Ouaknine, Amaury Pouly and James Worrell

STACSInternational Symposium on Theoretical Aspects of Computer Science (STACS), Hannover, 2017

LIPIcsLeibniz International Proceedings in Informatics (LIPIcs), 66:29:1-29:13, 2017

- Strong Turing Completeness of Continuous Chemical Reaction Networks and Compilation of Mixed Analog-Digital Programs (HAL)

François Fages, Guillaume Le Guludec, Olivier Bournez and Amaury Pouly

CMSBComputational Methods in Systems Biology (CMSB), Darmstadt, 2017

Lecture Notes in Comput. Sci. (LNCS)Lecture Notes in Computer Science (LNCS), 10545:108-127, 2017

Best Paper Award!

- A Universal Ordinary Differential Equation (arXiv, Slides)

Olivier Bournez and Amaury Pouly

ICALPInternational Colloquium on Automata, Languages and Programming (ICALP), Varsaw, 2017

LIPIcsLeibniz International Proceedings in Informatics (LIPIcs), 80:116:1-116:14, 2017

- 2016
- Computational complexity of solving polynomial differential equations over unbounded domains (arXiv)

Daniel Silva Graça and Amaury Pouly

Theor. Comput. Sci. (TCS)Theoretical Computer Science (TCS), 626:67-82, 2016

ERRATA**The published version contains two minor mistakes which have been fixed in the arXiv version.**

ADDENTUM Computational complexity of solving polynomial differential equations over unbounded domains with non-rational coefficients

- Solvability of Matrix-Exponential Equations (arXiv, Slides)

Joel Ouaknine, Amaury Pouly, João Sousa-Pinto and James Worrell

LICSLogic in Computer Science (LICS), New York, 2016

- Polynomial Time corresponds to Solutions of Polynomial Ordinary Differential Equations of Polynomial Length (arXiv, Slides)

Olivier Bournez, Daniel Silva Graça and Amaury Pouly

ICALPInternational Colloquium on Automata, Languages and Programming (ICALP), Rome, 2016

LIPIcsLeibniz International Proceedings in Informatics (LIPIcs), 55:109:1-109:15, 2016

Best Paper Award!

- Computing with Polynomial Ordinary Differential Equations (arXiv)

Olivier Bournez, Daniel Silva Graça and Amaury Pouly

J. ComplexityJournal of Complexity, 36:106-140, 2016

- Model Checking Flat Freeze LTL on One-Counter Automata (arXiv)

Antonia Lechner, Richard Mayr, Joel Ouaknine, Amaury Pouly and James Worrell

CONCURInternational Conference on Concurrency Theory (CONCUR), 2016

LIPIcsLeibniz International Proceedings in Informatics (LIPIcs), 59:29:1-29:14, 2016

- On The Complexity of Bounded Time and Precision Reachability for Piecewise Affine Systems (arXiv)

Hugo Bazille, Olivier Bournez, Walid Gomaa and Amaury Pouly

Theor. Comput. Sci. (TCS)Theoretical Computer Science (TCS), 2016

- 2015
- Continuous models of computation: from computability to complexity

Amaury Pouly

PhD ThesisPrix de thèse de l’Ecole Polytechnique 2016Ackermann Award 2017

- Rigorous Numerical Computation of Polynomial Differential Equations Over Unbounded Domains (Slides)

Olivier Bournez, Daniel Silva Graça and Amaury Pouly

MACISInternational Conference on Mathematical Aspects of Computer and Information Sciences (MACIS), Berlin, 2015

Lecture Notes in Comput. Sci. (LNCS)Lecture Notes in Computer Science (LNCS), 9582:469-473, 2016

- 2014
- On The Complexity of Bounded Time Reachability for Piecewise Affine Systems (arXiv, Slides)

Hugo Bazille, Olivier Bournez, Walid Gomaa and Amaury Pouly

RPReachability Problems (RP), 2014

Lecture Notes in Comput. Sci. (LNCS)Lecture Notes in Computer Science (LNCS), 8762:20-31, 2014

NOTE**arXiv link points to the journal version of the paper.**

- 2013
- Turing Machines Can Be Efficiently Simulated by the General Purpose Analog Computer (arXiv)

Olivier Bournez, Daniel Silva Graça and Amaury Pouly

TAMCTheory and Applications of Models of Computation (TAMC), Hong Kong, 2013

Lecture Notes in Comput. Sci. (LNCS)Lecture Notes in Computer Science (LNCS), 7876:169-180, 2013

- Computability and Computational Complexity of the Evolution of Nonlinear Dynamical Systems

Olivier Bournez, Daniel Silva Graça, Ning Zhong and Amaury Pouly

CiEComputability in Europe (CiE), 2013

Lecture Notes in Comput. Sci. (LNCS)Lecture Notes in Computer Science (LNCS), 7921:12-21, 2013

- 2012
- On the complexity of solving initial value problems (arXiv)

Olivier Bournez, Daniel Silva Graça and Amaury Pouly

ISSACInternational Symposium on Symbolic and Algebraic Computation (ISSAC), Grenoble, 2012

Proceedings of the 37th International Symposium on Symbolic and Algebraic Computation, 7876:115-121, 2012

- 2011
- Solving Analytic Differential Equations in Polynomial Time over Unbounded Domains

Olivier Bournez, Daniel Silva Graça and Amaury Pouly

MFCSMathematical Foundations of Computer Science (MFCS), Varsaw, 2011

Lecture Notes in Comput. Sci. (LNCS)Lecture Notes in Computer Science (LNCS), 6907:170-181, 2012

- Notes and Addentum
- Computational complexity of solving polynomial differential equations over unbounded domains with non-rational coefficients (arXiv)

Amaury Pouly