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Structure: Internal structure identifier : 454669
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On Polynomial Modular Number Systems over $ \mathbb{Z}/{p}\mathbb{Z} $

Jean-Claude Bajard , Jérémy Marrez , Thomas Plantard , Pascal Véron
Advances in Mathematics of Communications, In press, ⟨10.3934/amc.2022018⟩
Journal articles hal-03611829v1
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An Integro-differential Operator Approach to Linear State-space Systems

Alban Quadrat
SSSC 2022 - 8th IFAC Symposium on System Structure and Control, Sep 2022, Montreal, Canada. ⟨10.1016/j.ifacol.2022.11.299⟩
Conference papers hal-03908550v1
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Flag structures on real 3-manifolds

Elisha Falbel , Jose Veloso
Geometriae Dedicata, 2020, ⟨10.1007/s10711-020-00528-4⟩
Journal articles hal-01778582v1

On the computation of stabilizing controllers of multidimensional systems

Yacine Bouzidi , Thomas Cluzeau , Alban Quadrat
SSSC 2019 - 7th IFAC Symposium on Systems Structure and Control, Sep 2019, Sinai, Romania. ⟨10.1016/j.ifacol.2019.11.032⟩
Conference papers hal-02419696v1
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Volume function and Mahler measure of exact polynomials

Antonin Guilloux , Julien Marché
Compositio Mathematica, 2021, 157 (4), pp.809-834. ⟨10.1112/S0010437X21007016⟩
Journal articles hal-03377099v1

$p$-adic Directions of Primitive Vectors

Antonin Guilloux , Tal Horesh
Preprints, Working Papers, ... hal-03377102v1
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Presenting isomorphic finitely presented modules by equivalent matrices: a constructive approach

Cyrille Chenavier , Thomas Cluzeau , Alban Quadrat
Preprints, Working Papers, ... hal-02501322v1
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On the Complexity of the Plantinga-Vegter Algorithm

Felipe Cucker , Alperen A. Ergür , Josué Tonelli-Cueto
Discrete and Computational Geometry, 2022, ⟨10.1007/s00454-022-00403-x⟩
Journal articles hal-02552018v1
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On SL(3,C)-representations of the Whitehead link group

Antonin Guilloux , Pierre Will
Geometriae Dedicata, 2019, 202, pp.81-101. ⟨10.1007/s10711-018-0404-8⟩
Journal articles hal-01370289v1

Computing Real Roots of Real Polynomials ... and now For Real!

Alexander Kobel , Fabrice Rouillier , Michael Sagraloff
ISSAC '16 Proceedings of the ACM on International Symposium on Symbolic and Algebraic Computation, Jul 2016, Waterloo, Canada. pp.7, ⟨10.1145/2930889.2930937⟩
Conference papers hal-01363955v1
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On the Maximal Number of Real Embeddings of Spatial Minimally Rigid Graphs

Evangelos Bartzos , Ioannis Emiris , Jan Legerský , Elias Tsigaridas
ISSAC '18 International Symposium on Symbolic and Algebraic Computation, Jul 2018, New York, United States. pp.55-62, ⟨10.1145/3208976.3208994⟩
Conference papers hal-01710518v2

Hilbert metric without convexity

Elisha Falbel , Antonin Guilloux , Pierre Will
Journal of Geometric Analysis, 2020, Gennadi Henkin: In Memoriam, 30, pp.2865-2896. ⟨10.1007/s12220-020-00426-x⟩
Journal articles hal-01768400v1

Algebraic and Symbolic Computation Methods in Dynamical Systems

Alban Quadrat , Eva Zerz
Alban Quadrat, Eva Zerz. Springer, 9, pp.311, 2020, Advances in Delays and Dynamics, 978-3-030-38355-8. ⟨10.1007/978-3-030-38356-5⟩
Books hal-03070784v1

Computation of the $\mathcal{L}_{\infty}$-norm of finite-dimensional linear systems

Yacine Bouzidi , Alban Quadrat , Fabrice Rouillier , Grace Younes
Maple Conference, Nov 2020, Waterloo, Canada
Conference papers hal-03073801v1
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Computation of the L∞-norm of finite-dimensional linear systems

Grace Younes
Robotics [cs.RO]. Sorbonne Université, 2022. English. ⟨NNT : 2022SORUS125⟩
Theses tel-03863650v1

Algebraic aspects of the exact signal demodulation problem

Elisa Hubert , Yacine Bouzidi , Roudy Dagher , Axel Barrau , Alban Quadrat et al.
SSSC 2019 - 7th IFAC Symposium on Systems Structure and Control, Sep 2019, Sinaia, Romania. ⟨10.1016/j.ifacol.2019.11.031⟩
Conference papers hal-02419824v1
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Using Maple to analyse parallel robots

Damien Chablat , Guillaume Moroz , Fabrice Rouillier , Philippe Wenger
Jürgen Gerhard; Ilias Kotsireas. Maple in Mathematics Education and Research, Springer, Cham, pp.50-64, 2020, Maple in Mathematics Education and Research, 978-3-030-41257-9. ⟨10.1007/978-3-030-41258-6_4⟩
Book sections hal-02289699v1
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Redundancy of triangle groups in spherical CR representations

Raphaël V Alexandre
Preprints, Working Papers, ... hal-02867990v2
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PTOPO: Computing the Geometry and the Topology of Parametric Curves

Christina Katsamaki , Fabrice Rouillier , Elias Tsigaridas , Zafeirakis Zafeirakopoulos
Journal of Symbolic Computation, 2022, ⟨10.1016/j.jsc.2022.08.012⟩
Journal articles hal-03090184v3
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PTOPO: A Maple package for the topology of parametric curves

Christina Katsamaki , Fabrice Rouillier , Elias Tsigaridas , Zafeirakis Zafeirakopoulos
ACM Communications in Computer Algebra, 2020, 54 (2), pp.49-52. ⟨10.1145/3427218.3427223⟩
Journal articles hal-02953909v1
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Montgomery-friendly primes and applications to cryptography

Jean-Claude Bajard , Sylvain Duquesne
Journal of Cryptographic Engineering, 2021, 11 (4), p. 399-415. ⟨10.1007/s13389-021-00260-z⟩
Journal articles hal-02883333v1
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Algorithmic aspects of elliptic bases in finite field discrete logarithm algorithms

Antoine Joux , Cécile Pierrot
Advances in Mathematics of Communications, In press
Journal articles hal-02173688v2
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Centrohermitian solutions of a factorization problem arising in vibration analysis. Part I: Lee's transformation

Elisa Hubert , Yacine Bouzidi , Roudy Dagher , Alban Quadrat
ECC 2021 - European Control Conference, Jun 2021, Delft (Virtual), Netherlands. ⟨10.23919/ECC54610.2021.9655069⟩
Conference papers hal-03530244v1
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Generalized Perron roots and solvability of the absolute value equation

Manuel Radons , Josué Tonelli-Cueto
Discrete Mathematics Days 2022, Jul 2022, Santander, Spain. pp.237-242, ⟨10.22429/Euc2022.016⟩
Conference papers hal-03739462v1
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Sampling the feasible sets of SDPs and volume approximation

Tolis Chalkis , Vissarion Fisikopoulos , Panagiotis Repouskos , Elias Tsigaridas
ACM Communications in Computer Algebra, In press, ⟨10.1145/3457341.3457349⟩
Journal articles hal-02572792v1

The Multivariate Schwartz--Zippel Lemma

Mahmut Levent Doğan , Alperen Ergür , Jake Mundo , Elias Tsigaridas
SIAM Journal on Discrete Mathematics, 2022, 36 (2), pp.888-910. ⟨10.1137/20M1333869⟩
Journal articles hal-03637826v1

Bounds for polynomials on algebraic numbers and application to curve topology

Daouda Niang Diatta , Sény Diatta , Fabrice Rouillier , Marie-Françoise Roy , Michael Sagraloff et al.
Discrete and Computational Geometry, 2022, 67, pp.631-697. ⟨10.1007/s00454-021-00353-w⟩
Journal articles hal-01891417v1
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A simplified approach to rigorous degree 2 elimination in discrete logarithm algorithms

Faruk Göloğlu , Antoine Joux
Mathematics of Computation, 2019, pp.1
Journal articles hal-01960765v1

Certified lattice reduction

Thomas Espitau , Antoine Joux
Advances in Mathematics of Communications, 2020, 14 (1), pp.137-159. ⟨10.3934/amc.2020011⟩
Journal articles hal-02383752v1
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On the general solutions of a rank factorization problem

Roudy Dagher , Elisa Hubert , Alban Quadrat
[Research Report] RR-9438, Inria Paris, Sobonne Université; Inria Lille - Nord Europe; Laboratoire d'Analyse des Signaux et Processus Industriels. 2021, pp.57
Reports hal-03479643v1