[1]   Giovanni Alberti, Luigi Ambrosio, and Xavier Cabré. On a long-standing conjecture of E. De Giorgi: symmetry in 3D for general nonlinearities and a local minimality property. Acta Applicandae Mathematica, 65(1-3):9–33, 2001.

[2]   Luigi Ambrosio, Jean Bourgain, Haïm Brezis, and Alessio Figalli. Perimeter of sets and BMO-type norms. CRASP, Série I, 352(9):697–698, 2014.

[3]   Luigi Ambrosio, Jean Bourgain, Haïm Brezis, and Alessio Figalli. BMO-type norms related to the perimeter of sets. Communications on Pure and Applied Mathematics, 69(6):1062–1086, 2016.

[4]   Luigi Ambrosio and Xavier Cabré. Entire solutions of semilinear elliptic equations in ℝ³ and a conjecture of De Giorgi. Journal of the American Mathematical Society, 13(4):725–739, 2000.

[5]   Luigi Ambrosio, Nicola Gigli, and Giuseppe Savaré. Gradient flows: in metric spaces and in the space of probability measures. Birkhäuser, 2008. Segunda edición, con algunas correcciones, de 2008.

[6]   Jean-David Benamou and Yann Brenier. A numerical method for the optimal time-continuous mass transport problem and related problems. Contemporary mathematics, 226:1–12, 1999. In volume [18].

[7]   Marc Bernot, Vicent Caselles, and Jean-Michel Morel. Traffic plans. Publicacions Matemàtiques, pages 417–451, 2005.

[8]   Marc Bernot, Vicent Caselles, and Jean-Michel Morel. The structure of branched transportation networks. Calculus of Variations and Partial Differential Equations, 32(3):279–317, 2008.

[9]   Xavier Blanc and Mathieu Lewin. The crystallization conjecture: a review, 2015. arXiv:1504.01153.

[10]   Enrico Bombieri, Ennio De Giorgi, and Enrico Giusti. Minimal cones and the Bernstein problem. Inventiones Mathematicae, 7:243–268, 1969.

[11]   Haïm Brezis. Is there failure of the inverse function theorem?, 1999. Proceedings of the Workshop held at the Morningside Center of Mathematics, Chinese Academy of Science, Beijing, June 1999. Published in the volume Morse theory, minimax theory and their applications to nonlinear differential equations, New Studies in Advanced Mathematics, 1, International Press, Somerville, MA, 2003, 23-33.

[12]   Haïm Brezis. Functional analysis, Sobolev spaces and partial differential equations. Springer, 2010.

[13]   Haïm Brezis and Xavier Cabré. Some simple nonlinear PDE’s without solutions. Bollettino della Unione Matematica Italiana-B, 1(2):223–262, 1998.

[14]   Haïm Brezis and Juan Luis Vázquez. Blow-up solutions of some nonlinear elliptic problems. Revista Matemática de la UCM, 10(2):443–469, 1997.

[15]   Dmitri Burago, Iu D. Burago, and Sergei Ivanov. A course in metric geometry, volume 33 of Graduate Studies in Mathematics. American Mathematical Society, 2001.

[16]   L. A. Caffarelli and X. Cabré. Fully nonlinear elliptic equations, volume 43 of AMS Colloquium Publications. American Mathematical Society, 1995.

[17]   Luis Caffarelli. Alessio Figalli: His Contributions to Geometry and Analysis. In Boyan Sirakov, Paulo Ney de Souza, and Marcelo Viana, editors, Proceedings of the International Congress of Mathematicians (Rio de Janeiro, 1-9 August, 2018), Volume I, pages 43–46. World Scientific, 2018.

[18]   Luis A Caffarelli and Mario Milman (eds). Monge–Ampère Equation: Applications to Geometry and Optimization, volume 226 of Contemporary Mathematics. American Mathematical Society, 1999. NSF-CBMS Conference on the Monge Ampère Equation, Applications to Geometry and Optimization, July 9-13, 1997, Florida Atlantic University.

[19]   Raphaël Cerf. The Wulff Crystal in Ising and Percolation Models. Springer, 2006. Ecole D’Eté de Probabilités de Saint-Flour XXXIV-2004 (Jean Picard, ed.).

[20]   Alessio Figalli (ed.). Autour des inégalités isopérimétriques. Éditions de l’École polytechnique, 2011. Trabajos de W. Bench, C. De Franchis, L. Deproit, S. Gilles, B. Oh, A. Tenne y K. Webster, dirigidos por Alessio Figalli, y puestos en común en esta obra.

[21]   Lawrence C. Evans. A survey of partial differential equations methods in weak KAM theory. Communications on pure and applied mathematics, 57(4):445–480, 2004.

[22]   Albert Fathi. Weak KAM theorem in Lagrangian dynamics, 2005. https://www.math.unipd.it/~angela/Fathi_7.pdf.

[23]   Alessio Figalli. Existence, uniqueness, and regularity of optimal transport maps. SIAM journal on mathematical analysis, 39(1):126–137, 2007.

[24]   Alessio Figalli. Existence and uniqueness of martingale solutions for SDEs with rough or degenerate coefficients. Journal of Functional Analysis, 254(1):109–153, 2008.

[25]   Alessio Figalli. Regularity of optimal transport maps (after Ma-Trudinger-Wang and Loeper). Astérisque, 332:61, 2009. Séminaire Bourbaki 2008-2009, Exposé 1009.

[26]   Alessio Figalli. Review of Cédric Villani’s book Optimal transport. Old and new. BAMS (NS), 47(4):723–727, 2010.

[27]   Alessio Figalli. Stability in geometric & functional inequalities. In European Congress of Mathematics Kraków, 2–7 July, 2012, pages 585–599. EMS, 2014.

[28]   Alessio Figalli. The Monge–Ampère equation and its applications. Zurich Lectures in Advanced Mathematics. European Mathematical Society, 2017. x+200 páginas.

[29]   Alessio Figalli and Laurent Desvillettes. Cédric Villani reçoit le prix de la Société Mathématique Européenne. Gazette SMF, 2009. 7 páginas.

[30]   Alessio Figalli and David Jerison. A sharp Freiman type estimate for semisums in two and three dimensional euclidean spaces, 2019. http://cvgmt.sns.it/media/doc/paper/4378/semisum-v3-AnnENS.pdf.

[31]   Alessio Figalli and Grégoire Loeper. C¹ regularity of solutions of the Monge–Ampère equation for optimal transport in dimension two. Calculus of Variations and Partial Differential Equations, 35(4):537–550, 2009.

[32]   Alessio Figalli, Francesco Maggi, and Aldo Pratelli. A mass transportation approach to quantitative isoperimetric inequalities. Inventiones mathematicae, 182(1):167–211, 2010.

[33]   Alessio Figalli and Ludovic Rifford. Continuity of optimal transport maps and convexity of injectivity domains on small deformations of S². Communications on Pure and Applied Mathematics, 62(12):1670–1706, 2009.

[34]   Alessio Figalli, Ludovic Rifford, and Cédric Villani. On the Ma–Trudinger–Wang curvature on surfaces. Calculus of Variations and Partial Differential Equations, 39(3-4):307–332, 2010.

[35]   Alessio Figalli, Ludovic Rifford, and Cédric Villani. Necessary and sufficient conditions for continuity of optimal transport maps on Riemannian manifolds. Tohoku Mathematical Journal, Second Series, 63(4):855–876, 2011.

[36]   Alessio Figalli, Ludovic Rifford, and Cédric Villani. Nearly round spheres look convex. American Journal of Mathematics, 134(1):109–139, 2012.

[37]   Alessio Figalli and Cédric Villani. Strong displacement convexity on Riemannian manifolds. Mathematische Zeitschrift, 257(2):251–259, 2007.

[38]   Alessio Figalli and Cédric Villani. Optimal transport and curvature. In Nonlinear PDE’s and Applications, pages 171–217. Springer, 2011. Lecture notes for a 2008 CIME summer school.

[39]   J. Franch and S. Xambó-Descamps. Alessio Figalli, DHC of the UPC, 2019. https://fme.upc.edu/ca/la-facultat/activitats/2019-2020/arxius/expo_alessiofigalli-dhc.pdf.

[40]   Lars Gårding. Some points of analysis and their history, volume 11 of University Lecture Series. American Mathematical Society, 1997. viii+88 páginas.

[41]   Cristian E. Gutiérrez. The Monge-Ampère equation, volume 44 of Progress in Nonlinear Differential Equations and their Applications. Birkhäuser, 2001.

[42]   Lars Hörmander. The analysis of linear partial differential operators (4 volumes). Springer, 1983 (I y II), 1985 (III y IV). I: Distribution Theory and Fourier Analysis; II: Differential Operators with Constant Coefficients; III: Pseudo-Differential Operators; IV: Fourier Integral Operators. Actualmente publicados en la serie Classics of Mathematics (440, 404, 537 y 361 páginas).

[43]   Grégoire Loeper. On the regularity of solutions of optimal transportation problems. Acta mathematica, 202(2):241–283, 2009.

[44]   John Lott and Cédric Villani. Ricci curvature for metric-measure spaces via optimal transport. Annals of Mathematics, 169(3):903–991, 2009. Prepublicación de 2006: https://arxiv.org/pdf/math/0412127.pdf.

[45]   Errico Presutti. Scaling limits in statistical mechanics and microstructures in continuum mechanics. Springer, 2008.

[46]   Svetlozar T. Rachev and Ludger Rüschendorf. Mass Transportation Problems: Volume I: Theory. Springer, 1998.

[47]   Svetlozar T. Rachev and Ludger Rüschendorf. Mass Transportation Problems: Volume II: Applications. Springer, 2006.

[48]   Cédric Villani. Topics in optimal transportation. Number 58 in Graduate Studies in Mathematics. AMS, 2003. xvi+370 páginas.

[49]   Cédric Villani. Optimal transport: Old and new, volume 338 of Grundlehren der Mathematischen Wissenschaften. Springer, 2008. xxii+973 páginas.

[50]   Sebastià Xambó-Descamps. Alessio Figalli, DHC per la UPC. SCM/Notícies, 46(1):12, 2020. Contiene la laudatio de Xavier Cabré y la lectio HC de Alessio Figalli.

[51]   Matteo Bonforte y Sebastià Xambó-Descamps. Alessio Figalli. La Gaceta de la RSME, 23(2):25 páginas, 2020.