Preprints

  1. Convergence of weak KRF on minimal models of positive Kodaira dimension , with P.Eyssidieux and A.Zeriahi (2016).
  2. Geometry and Topology of the space of Kähler metrics on singular varieties , with E.DiNezza. Preprint (2016).
  3. Plurisubharmonic envelopes and supersolutions, with C.H.Lu and Zeriahi (2017).
  4. Weak subsolutions to complex Monge-Ampère equations , with C.H.Lu and Zeriahi (2017).

Articles

  1. K-E metrics and the Kähler-Ricci flow on log-Fano varieties, with R.Berman, S.Boucksom, P.Eyssidieux, A.Zeriahi. To appear in Journal für die reine und angewandte Mathematik.
  2. Regularizing properties of the Kähler-Ricci flow, with A.Zeriahi. Journal für reine und ang. Math., 729 (2017), 275–304.
  3. Corrigendum to Viscosity solutions to DCMA equations, with P.Eyssidieux, A.Zeriahi. C.P.A.M. 70 (2017), 815–821.
  4. Choquet-Monge-Ampère Classes, with S.Sahin and A.Zeriahi. Potential Anal. 46 (2017), no. 1, 149–165.
  5. Open problems in pluripotential theory, with S.Dinew and A.Zeriahi. Complex Var. Elliptic Equ. 61 (2016), no. 7, 902–930.
  6. Weak solutions to degenerate complex Monge-Ampère Flows II, with P.Eyssidieux, A.Zeriahi. Adv.Math.293(2016),37–80.
  7. Weak solutions to degenerate complex Monge-Ampère Flows I, with P.Eyssidieux, A.Zeriahi. Math.Ann. (2015), 931-963.
  8. Continuous approximation of quasiplurisubharmonic functions, with P.Eyssidieux, A.Zeriahi. Cont.Math.644(2015),67-78.
  9. Hölder continuous solutions to M-A equations, with J.-P.Demailly, S.Dinew, P.H.Hiep, S.Kolodziej, A.Zeriahi. J.E.M.S.(2014).
  10. Kähler-Einstein fillings, with B.Kolev and N.Yeganefar. J. London Math. Soc. (2013) 88 (3): 737-760.
  11. Extension of plurisubharmonic functions with growth control, with D.Coman, A.Zeriahi. Crelle 676 (2013), 33-49.
  12. Lichnerowicz estimate for 1st eigenvalue of cvx domains in Kähler manifolds, with B.Kolev, N.Yeganefar. An.PDE (2013).
  13. A variational approach to cplx M-A equations, with R.Berman, S.Boucksom, A.Zeriahi. Pub.Math.I.H.E.S.(2013),179-245.
  14. Stability of solutions to complex M-A equations in big cohomology classes, with A.Zeriahi. M.R.L. 19 (2012), 1025-1042.
  15. Viscosity solutions to degenerate complex MA equations, with P.Eyssidieux, A.Zeriahi. C.P.A.M. 64 (2011), 1059-1094.
  16. M-A equations in big cohomology classes, with S.Boucksom, P.Eyssidieux, A.Zeriahi. Acta Math.205 (2010), 199-262.
  17. Dynamics of meromorphic maps with small topological degree III, with J.Diller, R.Dujardin. Ann.Sc.ENS (2010),235-278.
  18. Dynamics of meromorphic maps with small topological degree II, with J.Diller and R.Dujardin. C.M.H. (2011), 277-316.
  19. Dynamics of meromorphic maps with small topological degree I, with J.Diller and R.Dujardin. I.U.M.J. (2010), 521-562.
  20. Quasiplurisubharmonic Green functions, with D.Coman and A.Zeriahi. Journal Math.Pures et Appl. 92 (2009), 456-475.
  21. Plurisubharmonic functions with weak singularities, with S.Benelkourchi and A.Zeriahi. Uppsala (2009).
  22. Regularity of dynamical Green functions, with J.Diller. Transactions of the AMS, 361 (2009), 4783-4805.
  23. Singular Kähler-Einstein metrics, with P.Eyssidieux and A.Zeriahi. Journal of the AMS 22 (2009), 607-639.
  24. Hölder continuous solutions to Monge-Ampère equations, with S.Kolodziej, A.Zeriahi. Bull.L.M.S. 40 (2008), 1070-1080.
  25. A priori estimates for weak solutions of cplx M-A equations, with S.Benelkourchi, A.Zeriahi. Ann.S.N.S.P. (2008),81-96.
  26. Domains of definition of cplx M-A operators on compact Kähler manifolds, with D.Coman, A.Zeriahi. Math. Z. (2008).
  27. A priori L*-estimates for degenerate complex Monge-Ampère equations, with P.Eyssidieux and A.Zeriahi. IMRN (2008).
  28. The weigthed Monge-Ampère energy of quasiplurisubharmonic functions with A.Zeriahi. J.F.A. 250 (2007), 442-482.
  29. Ergodic properties of rational mappings with large topological degree. Annals of Math. 161 (2005), no3, 1589-1607.
  30. Courants extrémaux et dynamique complexe . Annales Sc.de l'E.N.S. 38 (2005), 407-426.
  31. Intrinsic capacities on compact Kähler manifolds, with A.Zeriahi. Journal of Geom. An. 15 (2005), no4, 607-639.
  32. Entropie des applications méromorphes. Ergodic Theory Dynam. Systems 25 (2005), no. 6, 1847-1855.
  33. Desingularization of quasiplurisubharmonic functions. Internat. J. Math. 16 (2005), no. 5, 555-560.
  34. Invariant currents and generalized Lelong numbers , with D.Coman. J. Geom. Anal. 14 (2004), no. 2, 199-213.
  35. Dynamics of quadratic polynomial mappings of C2. Michigan Math. J. 52 (2004), no. 3, 627-648.
  36. Volume estimates in complex dynamics . Ann. Inst. Fourier (Grenoble) 54 (2004), no. 7, 2369-2386.
  37. Equidistribution towards the Green current. Bull. Soc. Math. France 131 (2003), no. 3, 359-372.
  38. Dynamics of polynomial automorphisms of Ck, with N.Sibony. Ark. för Math. 40 (2002), no 2, 207-243.
  39. Dynamics of polynomial mappings of C2. Amer. J. Math. 124 (2002), no. 1, 75-106.
  40. Dynamique des applications rationnelles des espaces multiprojectifs, with C.Favre. Ind.Univ.Math.J. 50 (2001), 881-934.
  41. Approximation of currents on complex manifolds. Mathematische Annalen, 313 (1999), 437-474.