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On the Kernel Curves Associated with Walks in the Quarter Plane

Thomas Dreyfus , Charlotte Hardouin , Julien Roques , Michael F Singer
Alin Bostan; Kilian Raschel. Transcendence in Algebra, Combinatorics, Geometry and Number Theory. TRANS19 – Transient Transcendence in Transylvania, Brașov, Romania, May 13–17, 2019, Revised and Extended Contributions, 373, Springer International Publishing, pp.61-89, 2021, Springer Proceedings in Mathematics & Statistics, 978-3-030-84303-8. ⟨10.1007/978-3-030-84304-5_3⟩
Chapitre d'ouvrage hal-03513338v1
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Hypertranscendence and linear difference equations

Boris Adamczewski , Thomas Dreyfus , Charlotte Hardouin
Journal of the American Mathematical Society, 2021, 34, pp.475-503. ⟨10.1090/jams/960⟩
Article dans une revue hal-02991494v1
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COMPUTING THE GALOIS GROUP OF SOME PARAMETERIZED LINEAR DIFFERENTIAL EQUATION OF ORDER TWO

Thomas Dreyfus
Proceedings of the American Mathematical Society, 2014, 142 (4), pp.1193-1207. ⟨10.1090/S0002-9939-2014-11826-0⟩
Article dans une revue hal-01897284v1
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On the Nature of Four Models of Symmetric Walks Avoiding a Quadrant

Thomas Dreyfus , Amélie Trotignon
Annals of Combinatorics, 2021, 25 (3), pp.617-644. ⟨10.1007/s00026-021-00541-8⟩
Article dans une revue hal-03357218v1
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WALKS IN THE QUARTER PLANE: GENUS ZERO CASE

Thomas Dreyfus , Charlotte Hardouin , Julien Roques , Michael F. Singer
Journal of Combinatorial Theory, Series A, 2020, 174, pp.105251. ⟨10.1016/j.jcta.2020.105251⟩
Article dans une revue hal-02990927v1

Differential algebraic generating series of weighted walks in the quarter plane

Thomas Dreyfus
2022
Pré-publication, Document de travail hal-03513972v1
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Confluence of meromorphic solutions of q-difference equations

Thomas Dreyfus
Annales de l'Institut Fourier, 2015, 65 (2), pp.431 - 507. ⟨10.5802/aif.2937⟩
Article dans une revue hal-01897298v1
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ON THE MULTIPLE-SCALE ANALYSIS FOR SOME LINEAR PARTIAL q-DIFFERENCE AND DIFFERENTIAL EQUATIONS WITH HOLOMORPHIC COEFFICIENTS

Thomas Dreyfus , Alberto Lastra , Stéphane Malek
Advances in Difference Equations, 2019, 2019 (1), ⟨10.1186/s13662-019-2263-5⟩
Article dans une revue hal-02348580v1

Length derivative of the generating series of walks confined in the quarter plane

Thomas Dreyfus , Charlotte Hardouin
2022
Pré-publication, Document de travail hal-03513964v1
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Differential transcendence criteria for second-order linear difference equations and elliptic hypergeometric functions

Carlos E Arreche , Thomas Dreyfus , Julien Roques
Journal de l'École polytechnique — Mathématiques, 2021, 8, pp.147-168. ⟨10.5802/jep.143⟩
Article dans une revue hal-03361384v1
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Algebraic independence and linear difference equations

Boris Adamczewski , Thomas Dreyfus , Charlotte Hardouin , Michael Wibmer
Journal of the European Mathematical Society, In press, ⟨10.4171/JEMS/1316⟩
Article dans une revue hal-03403976v1
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GALOIS GROUPS OF DIFFERENCE EQUATIONS OF ORDER TWO ON ELLIPTIC CURVES

Thomas Dreyfus , Julien Roques
Symmetry, Integrability and Geometry : Methods and Applications, 2015, ⟨10.3842/SIGMA.2015.003⟩
Article dans une revue hal-01897304v1
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Computing solutions of linear Mahler equations

Frédéric Chyzak , Thomas Dreyfus , Philippe Dumas , Marc Mezzarobba
Mathematics of Computation, 2018, 87, pp.2977-3021. ⟨10.1090/mcom/3359⟩
Article dans une revue hal-01418653v2
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q-BOREL-LAPLACE SUMMATION FOR q-DIFFERENCE EQUATIONS WITH TWO SLOPES

Thomas Dreyfus , Anton Eloy
Journal of Difference Equations and Applications, 2016, 22 (10), pp.1501 - 1511. ⟨10.1080/10236198.2016.1209192⟩
Article dans une revue hal-01897323v1
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Differential Galois Theory and Integration

Thomas Dreyfus , Jacques-Arthur Weil
Monographs in Symbolic Computation, Anti-Differentiation and the Calculation of Feynman Amplitudes, (2021), 2021
Chapitre d'ouvrage hal-03357833v1

Degeneration from difference to differential Okamoto spaces for the sixth Painlevé equation

Thomas Dreyfus , Viktoria Heu
2022
Pré-publication, Document de travail hal-03513970v1
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Differential transcendence & algebraicity criteria for the series counting weighted quadrant walks

Thomas Dreyfus , Kilian Raschel
Publications Mathématiques de Besançon : Algèbre et Théorie des Nombres, 2019, p. 41-80. ⟨10.5802/pmb.29⟩
Article dans une revue hal-01591022v2
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ISOMONODROMIC DEFORMATION OF q-DIFFERENCE EQUATIONS AND CONFLUENCE

Thomas Dreyfus
Proceedings of the American Mathematical Society, 2017, 145 (3), pp.1109-1120. ⟨10.1090/proc/13173⟩
Article dans une revue hal-01897291v1
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A DENSITY THEOREM IN PARAMETERIZED DIFFERENTIAL GALOIS THEORY

Thomas Dreyfus
Pacific Journal of Mathematics, 2014, 271 (1), pp.87 - 141. ⟨10.2140/pjm.2014.271.87⟩
Article dans une revue hal-01897295v1
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Liouville integrability: An effective Morales–Ramis–Simó theorem

A. Aparicio-Monforte , Thomas Dreyfus , Jacques-Arthur Weil
Journal of Symbolic Computation, 2016, 74, pp.537-560. ⟨10.1016/j.jsc.2015.08.009⟩
Article dans une revue hal-01897311v1
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Quelques applications de la théorie de Galois différentielle

Thomas Dreyfus
Analyse classique [math.CA]. Université de Strasbourg, 2021
HDR tel-03357238v1
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ON THE NATURE OF THE GENERATING SERIES OF WALKS IN THE QUARTER PLANE

Thomas Dreyfus , Charlotte Hardouin , Julien Roques , Michael F. Singer
Inventiones Mathematicae, 2018, 213 (1), pp.139 - 203. ⟨10.1007/s00222-018-0787-z⟩
Article dans une revue hal-01897314v1
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BUILDING MEROMORPHIC SOLUTIONS OF q-DIFFERENCE EQUATIONS USING A BOREL-LAPLACE SUMMATION

Thomas Dreyfus
International Mathematics Research Notices, 2015, 2015 (15), pp.6562 - 6587. ⟨10.1093/imrn/rnu137⟩
Article dans une revue hal-01897301v1
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q-DEFORMATION OF MEROMORPHIC SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS

Thomas Dreyfus
Journal of Differential Equations, 2015, 259 (11), pp.5734 - 5768. ⟨10.1016/j.jde.2015.07.010⟩
Article dans une revue hal-01897306v1

Computing the Lie algebra of the differential Galois group: the reducible case

Thomas Dreyfus , Jacques-Arthur Weil
Journal of Symbolic Computation, 2022, ⟨10.1016/j.jsc.2022.01.006⟩
Article dans une revue hal-02408036v1
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Functional relations of solutions of $q$-difference equations

Thomas Dreyfus , Charlotte Hardouin , Julien Roques
Mathematische Zeitschrift, 2021, ⟨10.1007/s00209-020-02669-4⟩
Article dans une revue hal-01959032v1
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HYPERTRANSCENDENCE OF SOLUTIONS OF MAHLER EQUATIONS

Thomas Dreyfus , Charlotte Hardouin , Julien Roques
Journal of the European Mathematical Society, 2018, 20 (9), pp.2209 - 2238. ⟨10.4171/JEMS/810⟩
Article dans une revue hal-01897318v1
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Real difference Galois theory

Thomas Dreyfus
Proceedings of the American Mathematical Society, 2018, 146 (1), pp.43 - 54. ⟨10.1090/proc/13696⟩
Article dans une revue hal-01897288v1
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Phénomènes de Stokes et approche galoisienne des problèmes de confluence

Thomas Dreyfus
Mathématiques générales [math.GM]. Université Paris-Diderot - Paris VII, 2013. Français. ⟨NNT : ⟩
Thèse tel-00955506v1