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Limit theorems for orthogonal polynomials related to circular ensembles

Joseph Najnudel , Ashkan Nikeghbali , Alain Rouault
2013
Preprints, Working Papers, ... hal-00794866v1

The characteristic polynomial on compact groups with Haar measure: some equalities in law

P. Bourgade , A. Nikeghbali , A. Rouault
Comptes Rendus. Mathématique, 2007, 345 (4), pp.229-232
Journal articles hal-00170814v1
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Bridges and random truncations of random matrices

Vincent Beffara , Catherine Donati-Martin , Alain Rouault
Random Matrices: Theory and Applications, 2014, 03 (02), ⟨10.1142/S2010326314500063⟩
Journal articles hal-01693144v1
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Sum rules and large deviations for spectral matrix measures in the Jacobi ensemble

Fabrice Gamboa , Jan Nagel , Alain Rouault
2018
Preprints, Working Papers, ... hal-01925648v1
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Addendum to " Sum rules via large deviations

Fabrice Gamboa , Jan Nagel , Alain Rouault
2017
Preprints, Working Papers, ... hal-01369130v2

The characteristic polynomial on compact groups with Haar measure : some equalities in law

Paul Bourgade , Ashkan Nikeghbali , Alain Rouault
2007
Preprints, Working Papers, ... hal-00690323v1

Circular Jacobi Ensembles and deformed Verblunsky coefficients

Paul Bourgade , Ashkan Nikeghbali , Alain Rouault
International Mathematics Research Notices, 2009, 23, pp.4357-4394
Journal articles hal-00672881v1

Mod-Gaussian convergence for random determinants and random characteristic polynomials

Martina Dal Borgo , Emma Hovhannisyan , Alain Rouault
2019
Preprints, Working Papers, ... hal-02063542v1
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Operator-valued spectral measures and large deviations

Fabrice Gamboa , Alain Rouault
Journal of Statistical Planning and Inference, 2014, vol. 154, p. 72-86. ⟨10.1016/j.jspi.2014.02.005⟩
Journal articles hal-00870276v2
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RANDOM TRUNCATIONS OF HAAR DISTRIBUTED MATRICES AND BRIDGES

Catherine Donati-Martin , Alain Rouault
2013
Preprints, Working Papers, ... hal-00794540v1
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Sum rules and large deviations for spectral measures on the unit circle

Fabrice Gamboa , Jan Nagel , Alain Rouault
Random Matrices: Theory and Applications, 2017, 6 (1), ⟨10.1142/S2010326317500058⟩
Journal articles hal-01300205v6
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Large deviations for clocks of self-similar processes

Nizar Demni , Alain Rouault , Marguerite Zani
Catherine Donati-Martin; Antoine Lejay; Alain Rouault. In Memoriam Marc Yor : Séminaire de Probabilités XLVII, 2137, Springer, pp.443-466, 2015, Lecture Notes in Mathematics, 978-3-319-18584-2. ⟨10.1007/978-3-319-18585-9_19⟩
Book sections hal-01081795v1

Martingales and Profile of Binary Search Trees

Brigitte Chauvin , Thierry Klein , Jean-Francois Marckert , Alain Rouault
Electronic Journal of Probability, 2005, 10 paper N°12, pp.420-435
Journal articles hal-00138808v1
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ON SOME GATEWAYS BETWEEN SUM RULES

Fabrice Gamboa , Jan Nagel , Alain Rouault
2023
Preprints, Working Papers, ... hal-03949782v1

Séminaire de Probabilités XLVI

Catherine Donati-Martin , Antoine Lejay , Alain Rouault
Springer International Publishing, 2123, pp.512, 2014, Lecture Notes in Mathematics, 978-3-319-11969-4. ⟨10.1007/978-3-319-11970-0⟩
Books hal-01109973v1

Séminaire de Probabilités LI

R. L. Karandikar , B. V. Rao , Christophe Leuridan , Matija Vidmar , Laurent Miclo et al.
Donati-Martin, Catherine; Lejay, Antoine; Rouault, Alain. Springer Nature, 2301, 389 p., 2022, Séminaire de Probabilités / Lecture Notes in Mathematics, 978-3-030-96408-5. ⟨10.1007/978-3-030-96409-2⟩
Books hal-03676900v1

Séminaire de Probabilités XLIV

Catherine Donati-Martin , Antoine Lejay , Alain Rouault
Catherine Donati-Martin and Antoine Lejay and Alain Rouault. Springer-Verlag, 2046, pp.465, 2012, Lecture Notes in Mathematics, 978-3-642-27460-2. ⟨10.1007/978-3-642-27461-9⟩
Books hal-00724872v1

Séminaire de Probabilités XLIII

Catherine Donati-Martin , Antoine Lejay , Alain Rouault
Catherine Donati-Martin and Antoine Lejay and Alain Rouault. Springer-Verlag, 2006, pp.503, 2011, Lecture Notes in Mathematics, 978-3-642-15216-0. ⟨10.1007/978-3-642-15217-7⟩
Books inria-00541922v1
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Martingales and Rates of Presence in Homogeneous Fragmentations

Nathalie Krell , Alain Rouault
Stochastic Processes and their Applications, 2011, 121 (1), pp.135-154. ⟨10.1016/j.spa.2010.09.005⟩
Journal articles hal-00374031v3

Asumptotic properties of the densities in beta-ensembles

Martina Dal Borgo , Emma Hovhanissyan , Alain Rouault
Journal of Statistical Physics, 2018, 170 (3), pp.439-465. ⟨10.1007/s10955-017-1936-2⟩
Journal articles hal-02063548v1
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LARGE DEVIATIONS FOR RANDOM SPECTRAL MEASURES AND SUM RULES

Fabrice Gamboa , Alain Rouault
2011
Preprints, Working Papers, ... hal-00276017v2

Séminaire de Probabilités L

Catherine Donati-Martin , Antoine Lejay , Alain Rouault
Catherine Donati-Martin; Antoine Lejay; Alain Rouault. Springer, Cham, 50, pp.562, 2019, Séminaire de Probabilités / Lecture Notes in Mathematics - 2252, 978-3-030-28535-7. ⟨10.1007/978-3-030-28535-7⟩
Books hal-02375632v1

Pathwise asymptotic behavior of random determinants in the uniform Gram and Wishart ensembles

Alain Rouault
ALEA : Latin American Journal of Probability and Mathematical Statistics, 2007, 3, pp.181-230
Journal articles hal-00008371v1
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On the reduction of a random basis

Ali Akhavi , Jean-François Marckert , Alain Rouault
ESAIM: Probability and Statistics, 2009, 13, pp.437-458. ⟨10.1051/ps:2008012⟩
Journal articles hal-00520007v1

Séminaire de Probabilités XLV

Catherine Donati-Martin , Antoine Lejay , Alain Rouault
Donati-Martin, Catherine and Lejay, Antoine and Rouault, Alain. Springer, 2078, pp.558, 2013, Lecture Notes in Mathematics, 978-3-319-00320-7. ⟨10.1007/978-3-319-00321-4⟩
Books hal-00849019v1
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INVARIANCE PRINCIPLES FOR CLOCKS

Maria-Emilia Caballero , Alain Rouault
2020
Preprints, Working Papers, ... hal-03014046v1
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Asymptotic behavior of random determinants in the Laguerre, Gram and Jacobi ensembles

Alain Rouault
ALEA : Latin American Journal of Probability and Mathematical Statistics, 2007, 3, pp.181-230
Journal articles hal-00088079v4

Large Deviations for Random Matricial Moment Problems

Jan Nagel , Jens Wagener , Fabrice Gamboa , Alain Rouault
Journal of Multivariate Analysis, 2012, 106, pp.17-35. ⟨10.1016/j.jmva.2011.11.006⟩
Journal articles hal-00531668v1

Connecting Yule Process, Bisection and Binary Search Tree via Martingales

Brigitte Chauvin , Alain Rouault
Journal of The Iranian Statistical Society, 2004, 3 (2), pp.89-116
Journal articles hal-00138806v1
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Discretization methods for homogeneous fragmentations

Jean Bertoin , Alain Rouault
Journal of the London Mathematical Society, 2005, 72, pp.91-109. ⟨10.1112/S0024610705006423⟩
Journal articles hal-00002954v1