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A Galoisian proof of Ritt theorem on the differential transcendence of Poincar\'e functions

Lucia Di Vizio , Gwladys Fernandes
2021
Pré-publication, Document de travail hal-03146286v1

Action of an endomorphism on (the solutions of) a linear differential equation

Lucia Di Vizio
Publications Mathématiques de Besançon : Algèbre et Théorie des Nombres, 2019, 2019 (1), p. 21-39. ⟨10.5802/pmb.28⟩
Article dans une revue hal-02326940v1
Image document

Difference Galois Theory For The "Applied" Mathematician

Lucia Di Vizio
Arithmetic and geometry over local fields, 2275, pp.29--59, 2021, Lecture Notes in Mathematics, 978-3-030-66249-3. ⟨10.1007/978-3-030-66249-3⟩
Chapitre d'ouvrage hal-02986455v1

Volume à la mémoire de Hiroshi Umemura: “Équations de Painlevé et théories de Galois différentielles”

Lucia Di Vizio , Guy Casale , Jean-Pierre Ramis
Annales de la Faculté des Sciences de Toulouse. Mathématiques., 29 (5), pp.i-v, 2020, ⟨10.5802/afst.1654⟩
N°spécial de revue/special issue hal-03408596v1

An ultrametric version of the Maillet-Malgrange theorem for nonlinear q-difference equations

Lucia Di Vizio
Proceedings of the American Mathematical Society, 2008, 136 (1), pp.2803-2814
Article dans une revue hal-00350715v1

Local analytic classification of $q$-difference equations with $|q|=1$

Lucia Di Vizio
Journal of Noncommutative Geometry, 2009, 3 (1), pp.125-149. ⟨10.4171/JNCG/33⟩
Article dans une revue hal-00350718v1

Introduction to p-adic q-difference equations (weak Frobenius structure and transfer theorems)

Lucia Di Vizio
2003
Pré-publication, Document de travail hal-00021542v1

Inhomogeneous order 1 iterative functional equations with applications to combinatorics

Lucia Di Vizio , Gwladys Fernandes , Marni Mishna
2023
Pré-publication, Document de travail hal-04234870v1

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⟩
Article dans une revue 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⟩
Article dans une revue hal-00794745v1

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⟩
Article dans une revue hal-00997318v1

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⟩
Article dans une revue istex hal-00629578v1

Arithmetic and Galois theories of differential equations.

Lucia Di Vizio , Tanguy Rivoal
Galoisian and arithmetic theory of differential equations. Summer school (2009 ; Luminy)., Sep 2009, Luminy, France. 23, Société Mathématiques de France, 405 p., 2011, Séminaire et congrès, 978-2-85629-331-7
Proceedings/Recueil des communications hal-01618208v1

Reduced forms of linear differential systems and the intrinsic Galois-Lie algebra of Katz

Moulay Barkatou , Thomas Cluzeau , Lucia Di Vizio , Jacques-Arthur Weil
Symmetry, Integrability and Geometry : Methods and Applications, 2020, ⟨10.3842/SIGMA.2020.054⟩
Article dans une revue hal-02423756v1

Computing the Lie Algebra of the Differential Galois Group of a Linear Differential System

Moulay A. Barkatou , Thomas Cluzeau , Jacques-Arthur Weil , Lucia Di Vizio
41st ACM International Symposium on Symbolic and Algebraic Computation (ISSAC), Jul 2016, Waterloo, Canada. ⟨10.1145/2930889.2930932⟩
Communication dans un congrès hal-01676487v1
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Differential transcendence of Bell numbers and relatives: a Galois theoretic approach

Alin Bostan , Lucia Di Vizio , Kilian Raschel
2023
Pré-publication, Document de travail hal-03091272v2

Continuity of the radius of convergence of p-adic differential equations on Berkovich analytic spaces

Francesco Baldassarri , Lucia Di Vizio
2008
Pré-publication, Document de travail hal-00350712v1

On q-summation and confluence

Lucia Di Vizio , Changgui Zhang
Annales de l'Institut Fourier, 2009, 59 (1), pp.347-392. ⟨10.5802/aif.2433⟩
Article dans une revue hal-00350701v1

Arithmetic theory of q-difference equations. The q-analogue of Grothendieck-Katz's conjecture on p-curvatures

Lucia Di Vizio
Inventiones Mathematicae, 2002, 150, pp.517-578
Article dans une revue hal-00021535v1

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

Lucia Di Vizio , Charlotte Hardouin
2012
Pré-publication, Document de travail hal-00794751v1

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
Pré-publication, Document de travail hal-00794748v1

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⟩
Article dans une revue hal-02147378v1

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⟩
Article dans une revue hal-01691112v1