Preprints

  1. Quasi-monotone convergence of plurisubharmonic functions , with A.Trusiani (2022).
  2. Plurisigned hermitian metrics , with D.Angella and H.C.Lu (2022).
  3. Quasi-plurisubharmonic envelopes 1: Uniform estimates on Kähler manifolds , with C.H.Lu (2021).
  4. Quasi-plurisubharmonic envelopes 3: Solving Monge-Ampère equations on hermitian manifolds , with C.H.Lu (2021).
  5. Monge-Ampère equations on compact Hessian manifolds , with T.D.Tô (2021).
    To appear in Ann. Sc. Norm. Super. Pisa Cl. Sci.
  6. Continuity of singular Kähler-Einstein potentials , with H.Guenancia and A.Zeriahi (2020).
    To appear in I.M.R.N.
  7. Families of singular Kähler-Einstein metrics , with E.DiNezza and H.Guenancia (2020).
    To appear in J. Eur. Math. Soc.

Articles

  1. Quasi-plurisubharmonic envelopes 2: Bounds on Monge-Ampère volumes , with C.H.Lu.
    Algebr. Geom. 9, No. 6, 688-713 (2022).
  2. On the extension of quasiplurisubharmonic functions , with D.Coman and A.Zeriahi.
    Anal. Math. 48 (2022), no. 2, 411–426. Special issue in honor of L.Lempert.
  3. The pluripotential Cauchy-Dirichlet problem for complex Monge-Ampere flows , with C.H.Lu and A.Zeriahi.
    Ann. Sci. Éc. Norm. Supér. (4) 54 (2021), no. 4, 889–944.
  4. Finite entropy vs finite energy , with E.DiNezza and C.H.Lu.
    Comment. Math. Helv. 96 (2021), no. 2, 389–419.
  5. Pluripotential versus viscosity solutions to complex Monge-Ampère flows, with C.H.Lu and A.Zeriahi.
    Pure and Applied Mathematics Quarterly 17-3 (2021), 971–990. Special issue in honor of D.H.Phong.
  6. Pluripotential Kaehler-Ricci flows , with C.H.Lu and A.Zeriahi.
    Geometry & Topology 24-3 (2020), 1225--1296.
  7. Plurisubharmonic envelopes and supersolutions, with C.H.Lu and Zeriahi.
    J. Diff. Geom. 113 (2019), no. 2, 273–313.
  8. K-E metrics & the KRF on log-Fano varieties, with R.Berman,S.Boucksom,P.Eyssidieux,A.Zeriahi.
    Journal für reine und ang. Math., 751 (2019), 27–89.
  9. Toric Pluripotential Theory , with D.Coman, S.Sahin, and A.Zeriahi.
    Ann. Polon. Math. 123 (2019), no. 1, 215–242. Special issue in honor of J.Siciak.
  10. Weak subsolutions to complex Monge-Ampère equations , with C.H.Lu, A.Zeriahi.
    J. Math. Soc. Jap 71 (2019), 727–738.
  11. Geometry & Topology of the space of Kähler metrics on sing. var. , with E.DiNezza.
    Compos. Math. 154 (2018), no. 8, 1593–1632.
  12. Stability of solutions to complex Monge-Ampère flows , with C.H.Lu, A.Zeriahi.
    Ann. Inst. Fourier, 68 (2018), 2819-2836. Special issue in honor of J.-P.Demailly.
  13. Convergence of weak KRF on minimal models. , with P.Eyssidieux, A.Zeriahi.
    Comm. Math. Phys. 357 (2018), 1179–1214.
  14. Regularizing properties of the Kähler-Ricci flow, with A.Zeriahi.
    Journal für reine und ang. Math., 729 (2017), 275–304.
  15. Corrigendum to Viscosity solutions to DCMA equations, with P.Eyssidieux, A.Zeriahi.
    Comm. Pure Appl. Math. 70 (2017), 815–821.
  16. Choquet-Monge-Ampère Classes, with S.Sahin and A.Zeriahi.
    Potential Anal. 46 (2017), no. 1, 149–165.
  17. Open problems in pluripotential theory, with S.Dinew and A.Zeriahi.
    Complex Var. Elliptic Equ. 61 (2016), no 7, 902–930.
  18. Weak solutions to degenerate complex Monge-Ampère Flows II, with P.Eyssidieux, A.Zeriahi.
    Adv. Math. 293 (2016), 37–80.
  19. Weak solutions to degenerate complex Monge-Ampère Flows I, with P.Eyssidieux, A.Zeriahi.
    Mathematische Annalen, (2015), 931-963.
  20. Continuous approximation of quasiplurisubharmonic functions, with P.Eyssidieux, A.Zeriahi.
    Analysis, complex geometry, and mathematical physics: in honor of D.H.Phong, 67–78, Contemp. Math., 2015.
  21. Hölder continuous solutions to M-A equations, with J.-P.Demailly, S.Dinew, P.H.Hiep, S.Kolodziej, A.Zeriahi.
    J. Eur. Math. Soc. 16 (2014), no. 4, 619–647.
  22. Kähler-Einstein fillings, with B.Kolev and N.Yeganefar.
    J. London Math. Soc. (2013) 88 (3): 737-760.
  23. Extension of plurisubharmonic functions with growth control, with D.Coman, A.Zeriahi.
    Journal für reine und ang. Math., 676 (2013), 33-49.
  24. Lichnerowicz estimate for 1st eigenvalue of cvx domains in Kähler manifolds, with B.Kolev, N.Yeganefar.
    Anal. PDE 6 (2013), no. 5, 1001–1012.
  25. A variational approach to cplx M-A equations, with R.Berman, S.Boucksom, A.Zeriahi.
    Publications Math.I.H.E.S. (2013),179-245.
  26. Stability of solutions to complex M-A equations in big cohomology classes, with A.Zeriahi.
    Math. Res. Letters 19 (2012), 1025-1042.
  27. Viscosity solutions to degenerate complex MA equations, with P.Eyssidieux, A.Zeriahi.
    Comm. Pure Appl. Math. 64 (2011), 1059-1094.
  28. M-A equations in big cohomology classes, with S.Boucksom, P.Eyssidieux, A.Zeriahi.
    Acta Mathematica 205 (2010), 199-262.
  29. Dynamics of meromorphic maps with small topological degree III, with J.Diller, R.Dujardin.
    Ann. Sci. Éc. Norm. Supér. (4) 43 (2010), no. 2, 235–278.
  30. Dynamics of meromorphic maps with small topological degree II, with J.Diller and R.Dujardin.
    Comment. Math. Helvetici (2011), 277-316.
  31. Dynamics of meromorphic maps with small topological degree I, with J.Diller and R.Dujardin.
    Indiana Univ. Math. J. 59 (2010), 521-562.
  32. Quasiplurisubharmonic Green functions, with D.Coman and A.Zeriahi.
    Journal Math.Pures et Appl. 92 (2009), 456-475.
  33. Plurisubharmonic functions with weak singularities, with S.Benelkourchi and A.Zeriahi.
    Complex analysis and digital geometry, 57–74, Uppsala, 2009. In honor of C.Kiselman.
  34. Regularity of dynamical Green functions, with J.Diller.
    Transactions of the AMS, 361 (2009), 4783-4805.
  35. Singular Kähler-Einstein metrics, with P.Eyssidieux and A.Zeriahi.
    Journal of the AMS 22 (2009), 607-639.
  36. Hölder continuous solutions to Monge-Ampère equations, with S.Kolodziej, A.Zeriahi.
    Bull. Lond. Math. Soc. 40 (2008), no. 6, 1070–1080.
  37. A priori estimates for weak solutions of cplx M-A equations, with S.Benelkourchi, A.Zeriahi.
    Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 7 (2008), no. 1, 81–96.
  38. Domains of definition of cplx M-A operators on compact Kähler manifolds, with D.Coman, A.Zeriahi.
    Math. Zeitschrift (2008).
  39. A priori L*-estimates for degenerate complex Monge-Ampère equations, with P.Eyssidieux and A.Zeriahi.
    Int. Math. Res. Not. (2008).
  40. The weigthed Monge-Ampère energy of quasiplurisubharmonic functions with A.Zeriahi.
    J. Funct. Anal. 250 (2007), 442-482.
  41. Ergodic properties of rational mappings with large topological degree.
    Annals of Math. 161 (2005), no3, 1589-1607.
  42. Courants extrémaux et dynamique complexe .
    Annales Sc.de l'E.N.S. 38 (2005), 407-426.
  43. Intrinsic capacities on compact Kähler manifolds, with A.Zeriahi.
    Journal of Geom. An. 15 (2005), no4, 607-639.
  44. Entropie des applications méromorphes.
    Ergodic Theory Dynam. Systems 25 (2005), no. 6, 1847-1855.
  45. Desingularization of quasiplurisubharmonic functions.
    Internat. J. Math. 16 (2005), no. 5, 555-560.
  46. Invariant currents and generalized Lelong numbers , with D.Coman.
    J. Geom. Anal. 14 (2004), no. 2, 199-213.
  47. Dynamics of quadratic polynomial mappings of C2.
    Michigan Math. J. 52 (2004), no. 3, 627-648.
  48. Volume estimates in complex dynamics .
    Ann. Inst. Fourier (Grenoble) 54 (2004), no. 7, 2369-2386.
  49. Equidistribution towards the Green current.
    Bull. Soc. Math. France 131 (2003), no. 3, 359-372.
  50. Dynamics of polynomial automorphisms of Ck, with N.Sibony.
    Ark. för Math. 40 (2002), no 2, 207-243.
  51. Dynamics of polynomial mappings of C2.
    Amer. J. Math. 124 (2002), no. 1, 75-106.
  52. Dynamique des applications rationnelles des espaces multiprojectifs, with C.Favre.
    Indiana Univ. Math. J. 50 (2001), 881-934.
  53. Approximation of currents on complex manifolds.
    Mathematische Annalen, 313 (1999), 437-474.