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Publications

  1. Entropy in the relative setting, with S. Trapani, A. Trusiani, SIGMA 20 (2024), 039, 19 pages, arXiv:2310.10152

  2. Relative pluripotential theory on compact Kähler manifolds, with T. Darvas, C. H. Lu, (2023). To appear in Pure and Applied Mathematics Quarterly. arXiv:2303.11584

  3. The regularity of envelopes, with Stefano Trapani (2023). Accepted in Annales scientifiques de l’ENS. arXiv:2110.14314

  4. Geodesic distance and Monge-Ampère measures on contact sets, with Chinh Lu, Analysis Math. 48 (2022), no. 2, 451–488. arXiv:2112.09627

  5. Uniform estimates for cscK metrics, with Alix Deruelle, Annales de la Faculté des Sciences de Toulouse, (6) 31 (2022), no. 3, 975–993. (here).

  6. Finite entropy vs finite energy, with V. Guedj, C. Lu, Commentari Mathematici Helvetici, 96 (2021), no. 2, 389–419. arXiv:2006.07061.

  7. Special Metric in Kähler geometry (survey), Bollettino dell’Unione Matematica Italiana (2021), no. 1, 43–49.

  8. Families of singular Kähler-Einstein metrics, with H. Guenancia, V. Guedj, J. Eur. Math. Soc. 25 (2023), no. 7, 2697–2762. arXiv:2003.08178

  9. Monge-Ampére measures on contact sets, with S. Trapani, Math. Research Letters, Vol. 28, No. 5 (2021), pp. 1337-1352. arXiv:1912.12720

  10. The metric geometry of singularity types, with T. Darvas, C. H. Lu, Journal für die reine und angewandte Mathematik, 771 (2021), 137–170. arXiv:1909.00839

  11. L^p metric geometry of big and nef cohomology classes, with C. H. Lu, Acta Mathematica Vietnamica 45 (2020), no. 1, 53–69. arXiv:1808.06308

  12. Log-concavity of volume and complex Monge-Ampère equations with prescribed singularities, with T. Darvas, C. H. Lu, Mathematische Annalen, 1-38, (2021). arXiv:1807.00276

  13. L^1 metric geometry of big cohomology classes, with T. Darvas, C. H. Lu, Ann. Inst. Fourier, 68 (2018), no. 7, 3053–3086. arXiv:1802.00087

  14. Regularity od push-forward of Monge-Ampère measures, with C. Favre, Ann. Inst. Fourier, 68 (2018), no. 7, 2965–2979. arXiv:1712.09884

  15. Monotonicity of non-pluripolar products and complex Monge-Ampère equations with prescribed singularities, with T. Darvas, C. H. Lu, Analysis & PDE,(2018), 2049-2087. arXiv:1705.05796

  16. Geometry and topology of the space of Kähler metrics on singular varieties, with V. Guedj, Compositio Mathematica, 154 (2018), no. 8, 1593–1632. arXiv:1606.07706

  17. The Monge-Ampère class E, contribution in the book ``Complex and Symplectic Geometry”, Springer INDAM Series 21, Springer, 2017, 51-59.

  18. On the singularity type of full mass currents in big cohomogy classes, with T. Darvas, C. Lu, in Compositio Mathematica, Vol. 154 (2018), 380-409. arXiv:1606.01527

  19. Divisorial Zariski Decomposition and some properties of full mass currents, with E. Floris, S. Trapani, Ann. Scuola Normale Superiore, (2017). arXiv:1505.07638

  20. Uniqueness and short time regularity of the weak Kähler-Ricci flow, with C. H. Lu, Advances in Mathematics, Vol. 305C (2016), 953-993. arXiv:1411.7958

  21. Finite Pluricomplex energy measures, Potential Analysis, Vol. 44 (2015), no. 1, 155-167. arXiv:1501.03747

  22. Generalized Monge-Ampère capacities, with C. H. Lu, IMRN, (2015), no. 16, 7287–7322. arXiv:1402.2497

  23. Complex Monge-Ampère equations on quasi-projective varieties, with C. H. Lu, Journal für die reine und angewandte Mathematik, 727 (2017), 145–167. arXiv:1401.6398

  24. Stability of Monge-Ampère energy classes, J. Geom. Anal., Vol. 25 (2015), no. 4, 2565-2589. arXiv:1311.7301

  25. Hitchhiker’s guide to fractional Sobolev spaces, with G. Palatucci, E. Valdinoci, Bulletin des Sciences Mathématique, Vol. 136 (2012) no.5. arXiv:1104.4345