Fetching the paper…
Reading the bibliography…
The purpose of this paper is to determine the asymptotic of the average energy of a configuration of N zeros of system of random polynomials of degree N as N tends to infinity and more generally the zeros of random holomorphic sections of a line bundle L over any Riemann surface M.
L. Hörmander, The Analysis of Linear Partial Differential Operators III, Springer, 1980
1980
Earlier work this paper cites.
Hriljac P., Splitting fields of principal homogeneous spaces, Number Theory Seminar, Lect. Notes in Math. 1240, Springer-verlag, 1987, pp. 214-229
1987
Earlier work this paper cites.
M. Shub and S. Smale. ”Complexity of Bezout’s Problem III: Condition Number and Packing.” Jour. of Complexity 9 (1993), 4–14
1993
Earlier work this paper cites.
B.Bergersen, D.Boal and P. Palffy-Muhoray , Equilibrium configurations of particles on a sphere: the case of logarithmic interaction, J. Phys. A: Math.Gen. 27 (1994) 2579-2586
1994
Earlier work this paper cites.
A.B.J. Kuijlaars, E.B. Saff, Asymptotics for minimal discrete energy on the sphere, Trans. Amer. Math. Soc. 350 (2) (1998) 523–538
1998
Cited alongside, same era.
B. Shiffman and S. Zelditch, Distribution of zeros of random polynomials and quantum chaotic sections of positive line bunldes. Commun. Math. Phys. 200
1999
Cited alongside, same era.
P. Bleher, B. Shiffman, and S. Zelditch, Steve Universality and scaling of correlations between zeros on complex manifolds. Invent. Math. 142 (2000), no. 2, 351–395
2000
Cited alongside, same era.
P. Bleher, B. Shiffman, and S. Zelditch, Poincare-Lelong Approach to Universality and Scaling of Correlations Between Zeros, Cimmunications in Mathematical Physics, (2000), 771-785
2000
Cited alongside, same era.
Michael R. Douglas, Robert L. Karp, Sergio Lukic, Rene Reinbacher, Numerical Calabi-Yau metrics,hep-th/0612075
Cited in the paper.
B. Shiffman and S. Zelditch, Number variance of random zeros, math.CV/0512652
Cited in the paper.
B. Shiffman and S. Zelditch, Number variance of random zeros on complex manifolds, math.CV/0608743
Cited in the paper.
P. Bleher, B. Shiffman, and S. Zelditch, Universality and scaling of zeros on symplectic manifolds. Random matrix models and their applications, 31–69, Math. Sci. Res. Inst. Publ., 40, Cambridge Univ. Press, Cambridge, 2001
2001
Later among the works it cites.
A. Katanforoush and M. Shahshahani, Distributing points on the sphere. I. (English. English summary) Experiment. Math. 12 (2003), no. 2, 199–209
2003
Later among the works it cites.
D.P. Hardin, E.B. Saff, Discretizing manifolds via minimum energy points, Notices Amer. Math. Soc., Vol 51 (2004), 1186–1194
2004
Later among the works it cites.
M.Baker, A lower bound for average values of amical green’s functions, 2006, NT/0507484
2006
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…