Paul Malliavin

4.4k total citations · 1 hit paper
83 papers, 2.4k citations indexed

About

Paul Malliavin is a scholar working on Mathematical Physics, Applied Mathematics and Finance. According to data from OpenAlex, Paul Malliavin has authored 83 papers receiving a total of 2.4k indexed citations (citations by other indexed papers that have themselves been cited), including 31 papers in Mathematical Physics, 29 papers in Applied Mathematics and 17 papers in Finance. Recurrent topics in Paul Malliavin's work include advanced mathematical theories (20 papers), Stochastic processes and financial applications (17 papers) and Geometric Analysis and Curvature Flows (14 papers). Paul Malliavin is often cited by papers focused on advanced mathematical theories (20 papers), Stochastic processes and financial applications (17 papers) and Geometric Analysis and Curvature Flows (14 papers). Paul Malliavin collaborates with scholars based in France, Italy and Portugal. Paul Malliavin's co-authors include Arne Beurling, Maria Elvira Mancino, Anton Thalmaier, Ana Bela Cruzeiro, Hélène Airault, David Nualart, Shizan Fang, Daniel W. Stroock, Lee A. Rubel and Giuseppe Da Prato and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Lecture notes in mathematics and Journal of Functional Analysis.

In The Last Decade

Paul Malliavin

73 papers receiving 2.1k citations

Hit Papers

Stochastic Analysis 1997 2026 2006 2016 1997 100 200 300 400 500
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Stochastic Analysis
    1997 550 citations Paul Malliavin profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Paul Malliavin France 23 1.0k 1.0k 985 369 335 83 2.4k
E. B. Dynkin United States 27 1.6k 1.6× 966 1.0× 636 0.6× 636 1.7× 136 0.4× 103 3.1k
Hui-Hsiung Kuo United States 19 714 0.7× 537 0.5× 579 0.6× 291 0.8× 83 0.2× 90 1.6k
R. K. Getoor United States 26 1.4k 1.3× 770 0.8× 631 0.6× 465 1.3× 128 0.4× 87 2.3k
Wojbor A. Woyczyński United States 26 797 0.8× 639 0.6× 677 0.7× 312 0.8× 88 0.3× 130 2.3k
Masatoshi Fukushima Japan 21 1.8k 1.8× 625 0.6× 1.2k 1.2× 910 2.5× 323 1.0× 75 2.6k
Nobuyuki Ikeda Japan 17 1.5k 1.5× 1.8k 1.8× 783 0.8× 650 1.8× 163 0.5× 40 3.5k
K. D. Elworthy United Kingdom 16 527 0.5× 504 0.5× 572 0.6× 283 0.8× 213 0.6× 43 1.3k
Jean‐Pierre Kahane France 17 948 0.9× 200 0.2× 826 0.8× 244 0.7× 336 1.0× 79 1.8k
D. W. Stroock United States 22 941 0.9× 475 0.5× 774 0.8× 524 1.4× 127 0.4× 35 1.8k
Gopinath Kallianpur United States 10 1.2k 1.2× 1.9k 1.9× 734 0.7× 636 1.7× 127 0.4× 21 3.4k

Countries citing papers authored by Paul Malliavin

Since Specialization
Citations

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

Fields of papers citing papers by Paul Malliavin

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Paul Malliavin

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

All Works

20 of 20 papers shown
1.
Cruzeiro, Ana Bela & Paul Malliavin. (2009). Renormalized stochastic calculus of variations for a renormalized infinite-dimensional Brownian motion. Stochastics. 81(3-4). 385–399. 1 indexed citations
2.
Cruzeiro, Ana Bela & Paul Malliavin. (2008). Stochastic Calculus of Variations on complex line bundle and construction of unitarizing measures for the Poincaré disk. Journal of Functional Analysis. 256(2). 385–408. 6 indexed citations
3.
Cruzeiro, Ana Bela & Paul Malliavin. (2008). Non-existence of infinitesimally invariant measures on loop groups. Journal of Functional Analysis. 254(7). 1974–1987. 2 indexed citations
4.
Malliavin, Paul. (2008). Invariant or quasi-invariant probability measures for infinite dimensional groups. Japanese journal of mathematics. 3(1). 1–17. 5 indexed citations
5.
Malliavin, Paul & Jiagang Ren. (2007). Transfer of stochastic energy towards high modes and its application to diffeomorphism flows on tori. Journal of Functional Analysis. 254(6). 1721–1734. 3 indexed citations
6.
Cruzeiro, Ana Bela & Paul Malliavin. (2006). Numerical approximation of diffusions in Rd using normal charts of a Riemannian manifold. Stochastic Processes and their Applications. 116(7). 1088–1095. 2 indexed citations
7.
Cruzeiro, Ana Bela, Paul Malliavin, & Anton Thalmaier. (2004). Geometrization of Monte-Carlo numerical analysis of an elliptic operator: strong approximation. Comptes Rendus Mathématique. 338(6). 481–486. 13 indexed citations
8.
Barucci, Emilio, Paul Malliavin, Maria Elvira Mancino, Roberto Renò, & Anton Thalmaier. (2003). The Price-Volatility Feedback Rate: An Implementable Mathematical Indicator of Market Stability. SSRN Electronic Journal. 2 indexed citations
9.
Malliavin, Paul & Maria Elvira Mancino. (2002). Instantaneous liquidity rate, its econometric measurement by volatility feedback. Comptes Rendus Mathématique. 334(6). 505–508. 7 indexed citations
10.
Airault, Hélène & Paul Malliavin. (2001). Unitarizing probability measures for representations of Virasoro algebra. Journal de Mathématiques Pures et Appliquées. 80(6). 627–667. 31 indexed citations
11.
Malliavin, Paul & Hélène Airault. (1994). Intégration et analyse de Fourier ; Probabilités et analyse gaussienne. Masson eBooks. 2 indexed citations
12.
Malliavin, Paul & David Nualart. (1993). Quasi Sure Analysis of Stochastic Flows and Banach Space Valued Smooth Functionals on the Wiener Space. Journal of Functional Analysis. 112(2). 287–317. 28 indexed citations
13.
Prato, Giuseppe Da, Paul Malliavin, & David Nualart. (1992). Compact families of Wiener functionals. 315(12). 1287–1291. 37 indexed citations
14.
Malliavin, Paul, et al.. (1992). Integration on loop group III. Asymptotic Peter-Weyl orthogonality. Journal of Functional Analysis. 108(1). 13–46. 24 indexed citations
15.
Malliavin, Paul, et al.. (1990). Integration on loop groups. I. Quasi invariant measures. Journal of Functional Analysis. 93(1). 207–237. 49 indexed citations
16.
Malliavin, Paul. (1982). Intégration et probabilités ; Analyse de Fourier et analyse spectrale. Masson eBooks. 6 indexed citations
17.
Malliavin, Paul, et al.. (1978). Géométrie différentielle stochastique. Presses de l’Université de Montréal eBooks. 35 indexed citations
18.
Malliavin, Paul. (1974). Formules de la moyenne, calcul de perturbations et théorèmes d'annulation pour les formes harmoniques. Journal of Functional Analysis. 17(3). 274–291. 47 indexed citations
19.
Beurling, Arne & Paul Malliavin. (1967). On the closure of characters and the zeros of entire functions. Acta Mathematica. 118(0). 79–93. 91 indexed citations
20.
Malliavin, Paul. (1961). Sur le reste de la loi asymptotique de répartition des nombres premiers généralisés de beurling. Acta Mathematica. 106(3-4). 281–298. 13 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.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by E. B. Dynkin Breakdown of academic impact, for papers by Hui-Hsiung Kuo Breakdown of academic impact, for papers by R. K. Getoor Breakdown of academic impact, for papers by Wojbor A. Woyczyński Breakdown of academic impact, for papers by Masatoshi Fukushima Breakdown of academic impact, for papers by Nobuyuki Ikeda Breakdown of academic impact, for papers by K. D. Elworthy Breakdown of academic impact, for papers by Jean‐Pierre Kahane Breakdown of academic impact, for papers by D. W. Stroock Breakdown of academic impact, for papers by Gopinath Kallianpur
Rankless by CCL
2026