Alessio Figalli

5.5k total citations
124 papers, 2.5k citations indexed

About

Alessio Figalli is a scholar working on Applied Mathematics, Mathematical Physics and Geometry and Topology. According to data from OpenAlex, Alessio Figalli has authored 124 papers receiving a total of 2.5k indexed citations (citations by other indexed papers that have themselves been cited), including 99 papers in Applied Mathematics, 36 papers in Mathematical Physics and 36 papers in Geometry and Topology. Recurrent topics in Alessio Figalli's work include Geometric Analysis and Curvature Flows (64 papers), Nonlinear Partial Differential Equations (63 papers) and Advanced Mathematical Modeling in Engineering (29 papers). Alessio Figalli is often cited by papers focused on Geometric Analysis and Curvature Flows (64 papers), Nonlinear Partial Differential Equations (63 papers) and Advanced Mathematical Modeling in Engineering (29 papers). Alessio Figalli collaborates with scholars based in United States, France and Italy. Alessio Figalli's co-authors include Francesco Maggi, Aldo Pratelli, Guido De Philippis, Ludovic Rifford, Luigi Ambrosio, José A. Carrillo, Cédric Villani, Marco Di Francesco, Dejan Slepčev and Young‐Heon Kim and has published in prestigious journals such as Management Science, Journal of the Royal Statistical Society Series B (Statistical Methodology) and Communications in Mathematical Physics.

In The Last Decade

Alessio Figalli

115 papers receiving 2.3k citations

Peers

Alessio Figalli

CTM

Nicola Gigli Italy

Wilfrid Gangbo United States

Filippo Santambrogio France

Giuseppe Savaré Italy

Daniel Alpay Israel

Eric A. Carlen United States

Diego Pallara Italy

L. C. Evans United States

Gerhard Schmeißer Germany

Dominique Bakry France

Nicola Gigli Italy

Alessio Figalli

1.9k ×1.0

459 ×0.7

435 ×0.7

CTM

832 ×1.4

189 ×0.9

Citations per year, relative to Alessio Figalli Alessio Figalli (= 1×) peers Nicola Gigli

Countries citing papers authored by Alessio Figalli

Since Specialization

Citations

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

Fields of papers citing papers by Alessio Figalli

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Alessio Figalli

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

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Dolbeault, Jean, Maria J. Esteban, Alessio Figalli, Rupert L. Frank, & Michael Loss. (2025). A Short Review on Improvements and Stability for Some Interpolation Inequalities. arXiv (Cornell University). 37–60. 1 indexed citations

Böröczky, Károly J., et al.. (2023). A quantitative stability result for the Prékopa–Leindler inequality for arbitrary measurable functions. Annales de l Institut Henri Poincaré C Analyse Non Linéaire. 41(3). 565–614. 1 indexed citations

Ciraolo, Giulio, et al.. (2020). Symmetry results for critical anisotropic p-Laplacian equations in convex cones. Virtual Community of Pathological Anatomy (University of Castilla La Mancha). 42 indexed citations

Cabré, Xavier, Alessio Figalli, Xavier Ros‐Oton, & Joaquim Serra. (2020). Stable solutions to semilinear elliptic equations are smooth up to dimension 9. QRU Quaderns de Recerca en Urbanisme. 35 indexed citations

Figalli, Alessio, et al.. (2017). On the regularity of the free boundary in the p-Laplacian obstacle problem. Journal of Differential Equations. 263(3). 1931–1945. 5 indexed citations

Chen, Shibing & Alessio Figalli. (2017). Partial W2, regularity for optimal transport maps. Journal of Functional Analysis. 272(11). 4588–4605. 7 indexed citations

Chen, Shibing & Alessio Figalli. (2016). Stability results on the smoothness of optimal transport maps with general costs. Journal de Mathématiques Pures et Appliquées. 106(2). 280–295. 3 indexed citations

Chen, Shibing & Alessio Figalli. (2015). Boundary ε-regularity in optimal transportation. Advances in Mathematics. 273. 540–567. 5 indexed citations

Figalli, Alessio, et al.. (2015). Nonlinear bounds in Hölder spaces for the Monge–Ampère equation. Journal of Functional Analysis. 270(10). 3808–3827. 4 indexed citations

10.

Figalli, Alessio & Álvaro Pelayo. (2014). Continuity of ball packing density on moduli spaces of toric manifolds. arXiv (Cornell University). 1 indexed citations

11.

Figalli, Alessio, Francesco Maggi, & Aldo Pratelli. (2013). Sharp stability theorems for the anisotropic Sobolev and log-Sobolev inequalities on functions of bounded variation. Advances in Mathematics. 242. 80–101. 25 indexed citations

12.

Paul, Thierry, et al.. (2012). Semiclassical limit for mixed states with singular and rough potentials.. HAL (Le Centre pour la Communication Scientifique Directe). 9 indexed citations

13.

Figalli, Alessio & Yuxin Ge. (2011). Isoperimetric-type inequalities on constant curvature manifolds. Advances in Calculus of Variations. 5(3). 251–284. 2 indexed citations

14.

Figalli, Alessio. (2009). REGULARITY OF OPTIMAL TRANSPORT MAPS (after Ma{Trudinger{Wang and Loeper). Astérisque. 341–368. 11 indexed citations

15.

Figalli, Alessio, et al.. (2008). Convergence to the viscous porous medium equa- tion and propagation of chaos. Latin American Journal of Probability and Mathematical Statistics. 4. 185–203. 9 indexed citations

16.

Bernot, Marc, Alessio Figalli, & Filippo Santambrogio. (2008). Generalized solutions for the Euler equations in one and two dimensions. Journal de Mathématiques Pures et Appliquées. 91(2). 137–155. 8 indexed citations

17.

Figalli, Alessio & Nicolas Juillet. (2008). Absolute continuity of Wasserstein geodesics in the Heisenberg group. Journal of Functional Analysis. 255(1). 133–141. 13 indexed citations

18.

Figalli, Alessio, et al.. (2007). The Monge problem on non-compact manifolds. French digital mathematics library (Numdam). 2 indexed citations

19.

Figalli, Alessio. (2007). Existence and uniqueness of martingale solutions for SDEs with rough or degenerate coefficients. Journal of Functional Analysis. 254(1). 109–153. 128 indexed citations

20.

Abbondandolo, Alberto & Alessio Figalli. (2006). High action orbits for Tonelli Lagrangians and superlinear Hamiltonians on compact configuration spaces. Journal of Differential Equations. 234(2). 626–653. 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.

Explore authors with similar magnitude of impact