Mireille Capitaine

936 total citations
19 papers, 442 citations indexed

About

Mireille Capitaine is a scholar working on Statistics and Probability, Mathematical Physics and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Mireille Capitaine has authored 19 papers receiving a total of 442 indexed citations (citations by other indexed papers that have themselves been cited), including 18 papers in Statistics and Probability, 16 papers in Mathematical Physics and 10 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Mireille Capitaine's work include Random Matrices and Applications (17 papers), Advanced Algebra and Geometry (11 papers) and Advanced Combinatorial Mathematics (10 papers). Mireille Capitaine is often cited by papers focused on Random Matrices and Applications (17 papers), Advanced Algebra and Geometry (11 papers) and Advanced Combinatorial Mathematics (10 papers). Mireille Capitaine collaborates with scholars based in France and United States. Mireille Capitaine's co-authors include Catherine Donati-Martin, Delphine Féral, Elton P. Hsu, Michel Ledoux, Serban T. Belinschi, Philippe Biane, Alice Guionnet, Sandrine Péché, Hari Bercovici and Charles Bordenave and has published in prestigious journals such as Inventiones mathematicae, Journal of Functional Analysis and The Annals of Probability.

In The Last Decade

Mireille Capitaine

19 papers receiving 408 citations

Peers

Mireille Capitaine

DMC

J. Hough United States

Antonio Auffinger United States

Piotr Graczyk France

David J. Grabiner United States

Jean-Pierre Conze France

Dimitri Shlyakhtenko United States

Eric Kostlan United States

Thierry Lévy France

Jérémie Bouttier France

Dan-Virgil Voiculescu United States

J. Hough United States

Mireille Capitaine

285 ×0.9

233 ×0.9

86 ×0.6

DMC

169 ×1.9

92 ×1.8

Citations per year, relative to Mireille Capitaine Mireille Capitaine (= 1×) peers J. Hough

Countries citing papers authored by Mireille Capitaine

Since Specialization

Citations

This map shows the geographic impact of Mireille Capitaine's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Mireille Capitaine with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Mireille Capitaine more than expected).

Fields of papers citing papers by Mireille Capitaine

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Mireille Capitaine. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Mireille Capitaine. The network helps show where Mireille Capitaine may publish in the future.

Co-authorship network of co-authors of Mireille Capitaine

This figure shows the co-authorship network connecting the top 25 collaborators of Mireille Capitaine. A scholar is included among the top collaborators of Mireille Capitaine based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Mireille Capitaine. Mireille Capitaine is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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19 of 19 papers shown

Capitaine, Mireille & Catherine Donati-Martin. (2020). Non universality of fluctuations of outliereigenvectors for block diagonal deformationsof Wigner matrices. Latin American Journal of Probability and Mathematical Statistics. 18(1). 129–129. 5 indexed citations

Belinschi, Serban T., et al.. (2019). Outlier eigenvalues for non-Hermitian polynomials in independent i.i.d.\n matrices and deterministic matrices. arXiv (Cornell University). 3 indexed citations

Belinschi, Serban T., Hari Bercovici, & Mireille Capitaine. (2017). On the outlying eigenvalues of a polynomial in large independent random matrices. arXiv (Cornell University). 4 indexed citations

Belinschi, Serban T., et al.. (2017). Outliers in the spectrum of large deformed unitarily invariant models. The Annals of Probability. 45(6A). 21 indexed citations

Belinschi, Serban T. & Mireille Capitaine. (2016). Spectral properties of polynomials in independent Wigner and\n deterministic matrices. arXiv (Cornell University). 11 indexed citations

Capitaine, Mireille & Sandrine Péché. (2015). Fluctuations at the edges of the spectrum of the full rank deformed GUE. Probability Theory and Related Fields. 165(1-2). 117–161. 13 indexed citations

Capitaine, Mireille. (2013). Exact separation phenomenon for the eigenvalues of large\n Information-Plus-Noise type matrices. Application to spiked models. arXiv (Cornell University). 13 indexed citations

Capitaine, Mireille. (2012). Additive/Multiplicative Free Subordination Property and Limiting Eigenvectors of Spiked Additive Deformations of Wigner Matrices and Spiked Sample Covariance Matrices. Journal of Theoretical Probability. 26(3). 595–648. 11 indexed citations

Capitaine, Mireille, et al.. (2011). Free Convolution with a Semicircular Distribution and Eigenvalues of Spiked Deformations of Wigner Matrices. Electronic Journal of Probability. 16(none). 43 indexed citations

10.

Capitaine, Mireille, Catherine Donati-Martin, & Delphine Féral. (2009). The largest eigenvalues of finite rank deformation of large Wigner matrices: Convergence and nonuniversality of the fluctuations. The Annals of Probability. 37(1). 110 indexed citations

11.

Donati-Martin, Catherine & Mireille Capitaine. (2007). Strong asymptotic freeness for Wigner and Wishart matrices. HAL (Le Centre pour la Communication Scientifique Directe). 27 indexed citations

12.

Capitaine, Mireille, et al.. (2007). Cumulants for Random Matrices as Convolutions on the Symmetric Group, II. Journal of Theoretical Probability. 20(3). 505–533. 4 indexed citations

13.

Capitaine, Mireille & Catherine Donati-Martin. (2005). Free Wishart Processes. Journal of Theoretical Probability. 18(2). 413–438. 6 indexed citations

14.

Capitaine, Mireille, et al.. (2005). Cumulants for random matrices as convolutions on the symmetric group. Probability Theory and Related Fields. 136(1). 19–36. 6 indexed citations

15.

Capitaine, Mireille, et al.. (2004). Asymptotic freeness by generalized moments for Gaussian and Wishart matrices. Application to beta random matrices. Indiana University Mathematics Journal. 53(2). 397–432. 42 indexed citations

16.

Biane, Philippe, Mireille Capitaine, & Alice Guionnet. (2003). Large deviation bounds for matrix Brownian motion. Inventiones mathematicae. 152(2). 433–459. 30 indexed citations

17.

Capitaine, Mireille & Catherine Donati-Martin. (2001). The Lévy Area Process for the Free Brownian Motion. Journal of Functional Analysis. 179(1). 153–169. 7 indexed citations

18.

Capitaine, Mireille, Elton P. Hsu, & Michel Ledoux. (1997). Martingale Representation and a Simple Proof of Logarithmic Sobolev Inequalities on Path Spaces. Electronic Communications in Probability. 2(none). 69 indexed citations

19.

Capitaine, Mireille. (1995). Onsager-Machlup functional for some smooth norms on Wiener space. Probability Theory and Related Fields. 102(2). 189–201. 17 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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