Bernard Shiffman

Publications 1991-2003

• (with S. Zelditch) Random polynomials of high degree and Levy concentration of measure , Special issue dedicated to Yum-Tong Siu, Asian J. Math. 7 (2003), 627-646.
• (with T. Tate and S. Zelditch) Harmonic analysis on toric varieties, in: Explorations in Complex and Riemannian Geometry: A Volume Dedicated to Robert E. Greene, Contemporary Mathematics, vol. 332, Amer. Math. Soc., Providence, RI, 2003, pp. 267-286.
• (with S. Zelditch) Random polynomials with prescribed Newton polytope, J. Amer. Math. Soc., to appear.
• (with S. Zelditch) Equilibrium distribution of zeros of random polynomials, IMRN 2003 (2003), 25-49.
• (with S. Zelditch) Asymptotics of almost holomorphic sections of ample line bundles on symplectic manifolds: an addendum, Proc. Amer. Math. Soc. 131 (2003), 291-302.
• (with M. Zaidenberg) Constructing low degree hyperbolic hypersurfaces in P³, Special issue for S.S. Chern, Houston J. of Math. 28 (2002), 377-388.
• (with M. Zaidenberg) Hyperbolic hypersurfaces in Pⁿ of Fermat-Waring type, Proc. Amer. Math. Soc. 130 (2002), 2031-2035.
• (with S. Zelditch) Asymptotics of almost holomorphic sections of ample line bundles on symplectic manifolds, J. Reine Angew. Math. 544 (2002), 181-222.
• (with P. Bleher and S. Zelditch) Correlations between zeros and supersymmetry, Commun. Math. Phys. 224 (2001), 255-269.
• (with P. Bleher and S. Zelditch) Universality and scaling of zeros on symplectic manifolds, in Random Matrix Models and Their Applications, P. Bleher and A. Its (Eds.), MSRI Publications 40, Cambridge Univ. Press, 2001, pp. 31-69.
• Uniqueness of entire and meromorphic functions sharing finite sets, The Chuang special issue, Complex Variables 43 (2001), 433-449.
• (with S. Ivashkovich) Compact singularities of meromorphic mappings between complex 3-dimensional manifolds, Math. Res. Lett. 7 (2000), 695-708.
• (with P. Bleher and S. Zelditch) Universality and scaling of correlations between zeros on complex manifolds, Invent. Math. 142 (2000), 351-395.
• (with P. Bleher and S. Zelditch) Poincaré-Lelong approach to universality and scaling of correlations between zeros, Commun. Math. Phys. 208 (2000), 771-785.
• (with M. Zaidenberg) Two classes of hyperbolic surfaces in P³, International Journal of Math. 11 (2000), 65-101.
• (with S. Zelditch) Distribution of zeros of random and quantum chaotic sections of positive line bundles, Commun. Math. Phys. 200 (1999), 661-683.
• (with A. Russakovskii) Value distribution for sequences of rational mappings and complex dynamics, Indiana Univ. Math. J. 46 (1997), 897-932.
• The second main theorem for log canonical R-divisors, in: Geometric Complex Analysis (J. Noguchi et al., eds.), World Scientific, Singapore, 1996, pp. 551-561.
• Synthetic projective geometry and Poincaré's theorem on automorphisms of the ball, L'Enseign. Math. 41 (1995), 201-215.
• (with J.-P. Demailly and L. Lempert) Algebraic approximations of holomorphic maps from Stein domains to projective manifolds, Duke Math. J. 76 (1994), 333-363.
• Separately meromorphic mappings into compact Kähler manifolds, in: Contributions to Complex Analysis and Analytic Geometry (H. Skoda and J.-M. Trépreau, eds.), Vieweg, Braunschweig, Germany, 1994, pp. 243-250.
• (with S. Ji) Properties of compact complex manifolds carrying closed positive currents, J. Geometric Analysis 3 (1993), 37-61.
• (with S. Ji and J. Kollár) A global Lojasiewicz inequality for algebraic varieties, Trans. Amer. Math. Soc. 329 (1992), 813-818.
• Cohomology and splitting of Hermitian-Einstein vector bundles, Math. Annalen 289 (1991), 573-579.