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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
Journal articles hal-03403976v1

Calculating differential Galois groups of parametrized differential equations, with applications to hypertranscendence

Charlotte Hardouin , Andrei Minchenko , Alexey Ovchinnikov
Mathematische Annalen, 2017, 368 (1-2), pp.587 - 632. ⟨10.1007/s00208-016-1442-x⟩
Journal articles hal-01927289v1
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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⟩
Journal articles hal-02990927v1

Iterative q-difference Galois theory

Charlotte Hardouin
Journal für die reine und angewandte Mathematik, 2010, 644, pp.101-144. ⟨10.1515/CRELLE.2010.053⟩
Journal articles hal-00629652v1

Galois Theories of Linear Difference Equations: An Introduction

Charlotte Hardouin , Jacques Sauloy , Michael F. Singer
American Mathematical Society. American Mathematical Society, 211, 2016, Mathematical Surveys and Monographs, 978-1-4704-2655-2. ⟨10.1090/surv/211⟩
Books hal-01959879v1

Hypertranscendance des systèmes aux différences diagonaux

Charlotte Hardouin
Compositio Mathematica, 2008, 144 (03), pp.565 - 581. ⟨10.1112/S0010437X07003430⟩
Journal articles hal-01927295v1

Courbures, groupes de Galois génériques et D-groupoïde de Galois d'un système aux q-différences

Lucia Di Vizio , Charlotte Hardouin
Comptes Rendus. Mathématique, 2010, 348 (17-18), pp.951-954. ⟨10.1016/j.crma.2010.08.001⟩
Journal articles hal-00629578v1

Difference Galois theory of linear differential equations

Lucia Di Vizio , Charlotte Hardouin , Michael Wibmer
Advances in Mathematics, 2014, 260, p. 1-58. ⟨10.1016/j.aim.2014.04.005⟩
Journal articles hal-00997318v1

Differential Galois theory of linear difference equations

Charlotte Hardouin , Michael F. Singer
Mathematische Annalen, 2008, 342 (2), pp.333 - 377. ⟨10.1007/s00208-008-0238-z⟩
Journal articles hal-01927297v1
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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⟩
Journal articles hal-01897318v1

Unipotent radicals of Tannakian Galois groups in positive characteristic

Charlotte Hardouin
Arithmetic and Galois theories of differential equations, Soc. Math. France, p. 223-239, 2011, Séminaires et Congrès, vol. 23
Book sections hal-00997320v1
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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⟩
Journal articles hal-01959032v1
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On differentially algebraic generating series for walks in the quarter plane

Charlotte Hardouin , Michael F Singer
Selecta Mathematica (New Series), 2021, 27 (5), ⟨10.1007/s00029-021-00703-9⟩
Journal articles hal-03403948v1

Descent for differential Galois theory of difference equations. Confluence and q-dependency

Lucia Di Vizio , Charlotte Hardouin
Pacific Journal of Mathematics, 2012, 256 (1), pp.79-104. ⟨10.2140/pjm.2012.256.79⟩
Journal articles hal-00794743v1

Galois theories for $q$-difference equations: comparison theorems

Lucia Di Vizio , Charlotte Hardouin
Confluentes Mathematici, 2020, 12 (2), pp.11--35. ⟨10.5802/cml.66⟩
Journal articles hal-00794745v1
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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⟩
Journal articles hal-02991494v1

Sur les automorphismes bornés de corps munis d'opérateurs

Thomas Blossier , Charlotte Hardouin , Amador Martin-Pizarro
Mathematical Research Letters, 2017, vol. 24 (4), pp.955-978. ⟨10.4310/MRL.2017.v24.n4.a2⟩
Journal articles hal-01184645v1

Parameterized generic Galois groups for q-difference equations, followed by the appendix "The Galois D-groupoid of a q-difference system" by Anne Granier

Lucia Di Vizio , Charlotte Hardouin
2012
Preprints, Working Papers, ... hal-00794748v1

On the Grothendieck conjecture on p-curvatures for q-difference equations

Lucia Di Vizio , Charlotte Hardouin
2012
Preprints, Working Papers, ... hal-00794751v1

Difference algebraic relations among solutions of linear differential equations

Lucia Di Vizio , Charlotte Hardouin , Michael Wibmer
Journal of the Institute of Mathematics of Jussieu, 2017, 16 (1), pp.59-119. ⟨10.1017/S1474748015000080⟩
Journal articles hal-01691112v1

Intrinsic approach to Galois theory of q-difference equations

Charlotte Hardouin , Lucia Di Vizio
Memoirs of the American Mathematical Society, 2022, 279 (1376), ⟨10.1090/memo/1376⟩
Journal articles hal-02147378v1
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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⟩
Journal articles hal-01897314v1
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Approche galoisienne de la transcendance fonctionnelle

Charlotte Hardouin
Commutative Algebra [math.AC]. Université Paul Sabatier (Toulouse 3), 2022
Habilitation à diriger des recherches tel-03925512v1
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On the stationary distribution of reflected Brownian motion in a wedge: differential properties

Mireille Bousquet-Mélou , Andrew Elvey-Price , Sandro Franceschi , Charlotte Hardouin , Kilian Raschel et al.
2021
Preprints, Working Papers, ... hal-03098489v2