Philippe Biane

3.4k total citations
46 papers, 1.4k citations indexed

About

Philippe Biane is a scholar working on Mathematical Physics, Statistics and Probability and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Philippe Biane has authored 46 papers receiving a total of 1.4k indexed citations (citations by other indexed papers that have themselves been cited), including 32 papers in Mathematical Physics, 28 papers in Statistics and Probability and 14 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Philippe Biane's work include Random Matrices and Applications (24 papers), Advanced Combinatorial Mathematics (13 papers) and Stochastic processes and statistical mechanics (9 papers). Philippe Biane is often cited by papers focused on Random Matrices and Applications (24 papers), Advanced Combinatorial Mathematics (13 papers) and Stochastic processes and statistical mechanics (9 papers). Philippe Biane collaborates with scholars based in France, United States and Germany. Philippe Biane's co-authors include Roland Speicher, Hari Bercovici, Vittorino Pata, Marc Yor, Jim Pitman, Philippe Bougerol, Neil O’Connell, Dan-Virgil Voiculescu, Richard Durrett and Franz Lehner and has published in prestigious journals such as Communications in Mathematical Physics, Annals of Mathematics and Lecture notes in mathematics.

In The Last Decade

Philippe Biane

43 papers receiving 1.3k citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Philippe Biane France	21	901	843	366	244	237	46	1.4k
Alexandru Nica Canada	16	1.3k 1.4×	1.1k 1.3×	483 1.3×	361 1.5×	277 1.2×	40	1.9k
Marek Bożejko Poland	14	600 0.7×	662 0.8×	157 0.4×	264 1.1×	268 1.1×	55	1.0k
Russell Lyons United States	22	1.1k 1.2×	1.8k 2.1×	251 0.7×	492 2.0×	233 1.0×	73	2.3k
Kenneth J. Dykema United States	16	712 0.8×	1.1k 1.3×	208 0.6×	374 1.5×	228 1.0×	53	1.5k
Bálint Virág Canada	15	667 0.7×	691 0.8×	292 0.8×	289 1.2×	209 0.9×	43	1.1k
Alexander K. Zvonkin France	9	179 0.2×	348 0.4×	203 0.6×	291 1.2×	140 0.6×	22	1.2k
Анатолий Моисеевич Вершик Russia	17	171 0.2×	735 0.9×	131 0.4×	432 1.8×	183 0.8×	94	1.1k
Ivan Corwin United States	19	1.1k 1.2×	1.1k 1.3×	224 0.6×	154 0.6×	69 0.3×	53	1.3k
Nobuaki Obata Japan	17	255 0.3×	553 0.7×	48 0.1×	191 0.8×	289 1.2×	101	1.2k
Wendelin Werner France	21	647 0.7×	1.6k 1.9×	52 0.1×	208 0.9×	178 0.8×	60	1.8k

Countries citing papers authored by Philippe Biane

Since Specialization

Citations

This map shows the geographic impact of Philippe Biane'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 Philippe Biane with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Philippe Biane more than expected).

Fields of papers citing papers by Philippe Biane

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Philippe Biane. 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 Philippe Biane. The network helps show where Philippe Biane may publish in the future.

Co-authorship network of co-authors of Philippe Biane

This figure shows the co-authorship network connecting the top 25 collaborators of Philippe Biane. A scholar is included among the top collaborators of Philippe Biane 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 Philippe Biane. Philippe Biane is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Biane, Philippe. (2024). La fonction zêta de Riemann et les probabilités. French digital mathematics library (Numdam). 197–231.

Bauer, Michel, et al.. (2023). Bernoulli Variables, Classical Exclusion Processes and Free Probability. Annales Henri Poincaré. 25(1). 125–172. 4 indexed citations

Biane, Philippe, et al.. (2019). Noncrossing partitions, Bruhat order and the cluster complex. Annales de l’institut Fourier. 69(5). 2241–2289. 1 indexed citations

Biane, Philippe, et al.. (2015). Gog and GOGAm pentagons. Journal of Combinatorial Theory Series A. 138. 133–154. 1 indexed citations

Biane, Philippe, et al.. (2013). Gog, Magog and Schützenberger II: left trapezoids. Discrete Mathematics & Theoretical Computer Science. DMTCS Proceedings vol. AS,...(Proceedings). 1 indexed citations

Biane, Philippe, et al.. (2012). Concavification of free entropy. Advances in Mathematics. 234. 667–696. 4 indexed citations

Biane, Philippe. (2010). Itô’s stochastic calculus and Heisenberg commutation relations. Stochastic Processes and their Applications. 120(5). 698–720. 9 indexed citations

Biane, Philippe, Philippe Bougerol, & Neil O’Connell. (2009). Continuous crystal and Duistermaat–Heckman measure for Coxeter groups. Advances in Mathematics. 221(5). 1522–1583. 15 indexed citations

Biane, Philippe, Jacques Faraut, & Habib Ouerdiane. (2008). Analyse et Probabilités. 3 indexed citations

10.

Biane, Philippe, et al.. (2002). Actions moyennables et fonctions harmoniques. Comptes Rendus Mathématique. 334(5). 355–358. 2 indexed citations

11.

Hudson, R. L., J. Martin Lindsay, Philippe Biane, & Stéphane Attal. (1998). Quantum probability communications : QP-PQ. WORLD SCIENTIFIC eBooks. 1 indexed citations

12.

Biane, Philippe. (1998). Representations of Symmetric Groups and Free Probability. Advances in Mathematics. 138(1). 126–181. 73 indexed citations

13.

Biane, Philippe. (1997). On the free convolution with a semi-circular distribution. Indiana University Mathematics Journal. 46(3). 0–0. 105 indexed citations

14.

Biane, Philippe. (1997). Segal–Bargmann Transform, Functional Calculus on Matrix Spaces and the Theory of Semi-circular and Circular Systems. Journal of Functional Analysis. 144(1). 232–286. 52 indexed citations

15.

Biane, Philippe. (1997). Some properties of crossings and partitions. Discrete Mathematics. 175(1-3). 41–53. 75 indexed citations

16.

Biane, Philippe. (1996). Minimal Factorizations of a Cycle and Central Multiplicative Functions on the Infinite Symmetric Group. Journal of Combinatorial Theory Series A. 76(2). 197–212. 20 indexed citations

17.

Biane, Philippe. (1995). Representations of Unitary Groups and Free Convolution. Publications of the Research Institute for Mathematical Sciences. 31(1). 63–79. 6 indexed citations

18.

Biane, Philippe. (1994). Theoreme de Ney-Spitzer sur le Dual de SU(2). Transactions of the American Mathematical Society. 345(1). 179–179. 3 indexed citations

19.

Biane, Philippe. (1994). Théorème de Ney-Spitzer sur le dual de 𝑆𝑈(2). Transactions of the American Mathematical Society. 345(1). 179–194. 9 indexed citations

20.

Biane, Philippe. (1993). Permutations Suivant le Type d'Excédance et le Nombre d'Inversions et Interprétation Combinatoire d'une Fraction Continue de Heine. European Journal of Combinatorics. 14(4). 277–284. 20 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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