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
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Local analytic classification of $q$-difference equations with $|q|=1$
Lucia Di Vizio
Article dans une revue
hal-00350718v1
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Introduction to p-adic q-difference equations (weak Frobenius structure and transfer theorems)
Lucia Di Vizio
2003
Pré-publication, Document de travail
hal-00021542v1
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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
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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
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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
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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
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Reduced forms of linear differential systems and the intrinsic Galois-Lie algebra of Katz
Moulay Barkatou
,
Thomas Cluzeau
,
Lucia Di Vizio
,
Jacques-Arthur Weil
Article dans une revue
hal-02423756v1
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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
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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
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On q-summation and confluence
Lucia Di Vizio
,
Changgui Zhang
Article dans une revue
hal-00350701v1
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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
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Descent for differential Galois theory of difference equations. Confluence and q-dependency
Lucia Di Vizio
,
Charlotte Hardouin
Article dans une revue
hal-00794743v1
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Galois theories for $q$-difference equations: comparison theorems
Lucia Di Vizio
,
Charlotte Hardouin
Article dans une revue
hal-00794745v1
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Courbures, groupes de Galois génériques et D-groupoïde de Galois d'un système aux q-différences
Lucia Di Vizio
,
Charlotte Hardouin
Article dans une revue
istex
hal-00629578v1
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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
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Difference Galois theory of linear differential equations
Lucia Di Vizio
,
Charlotte Hardouin
,
Michael Wibmer
Article dans une revue
hal-00997318v1
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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
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On the Grothendieck conjecture on p-curvatures for q-difference equations
Lucia Di Vizio
,
Charlotte Hardouin
2012
Pré-publication, Document de travail
hal-00794751v1
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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
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Intrinsic approach to Galois theory of q-difference equations
Charlotte Hardouin
,
Lucia Di Vizio
Article dans une revue
hal-02147378v1
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Difference algebraic relations among solutions of linear differential equations
Lucia Di Vizio
,
Charlotte Hardouin
,
Michael Wibmer
Article dans une revue
hal-01691112v1
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