Correlations between zeros and supersymmetry

Communications in Mathematical Physics

Volumn 224, Issue 1, 2001, Pages 255-269

  Bleher, Pavel ^a   Shiffman, Bernard ^b   Zelditch, Steve ^b  

^a INDIANA UNIVERSITY   (United States)

^b JOHNS HOPKINS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035605518     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200100512     Document Type: Article

References (14)

1. [BSZ1] Bleher, P., Shiffman, B. and Zelditch, S.: Poincaré-Lelong approach to universality and scaling of correlations between zeros. Commun. Math. Phys. 208, 771-785 (2000)
2. [BSZ2] Bleher, P., Shiffman, B. and Zelditch, S.: Universality and scaling of correlations between zeros on complex manifolds. Invent. Math. 142, 351-395 (2000)
3. [BSZ3] Bleher, P., Shiffman, B. and Zelditch, S.: Universality and scaling of zeros on symplectic manifolds. Random Matrices and Their Applications, P. Bleher and A. Its (eds). MSRI Publications 40. Cambridge: Cambridge Univ. Press, 2001, pp. 31-69
4. [Ef] Efetov, K.: Supersymmetry in disorder and chaos. Cambridge: Cambridge Univ. Press, 1996
5. [Ha] Hannay, J.H.: Chaotic analytic zero points: Exact statistics for those of a random spin state. J. Phys. A: Math. Gen. 29, 101-105 (1996)
6. [ID] Itzykson, C. and Drouffe, J.M.: Statistical field theory, Vol. 1. Cambridge: Cambridge Univ. Press, 1989
7. [Kac] Kac, M.: On the average number of real roots of a random algebraic equation. Bull. Am. Math. Soc. 49, 314-320 (1943)
8. [Ri] Rice, S.O.: Mathematical analysis of random noise. Bell System Tech. J. 23, 282-332, (1944) and 24, 46-156 (1945); reprinted in: Selected papers on noise and stochastic processes. New York: Dover, 1954, pp. 133-294
9. [Ri] Rice, S.O.: Mathematical analysis of random noise. Bell System Tech. J. 23, 282-332, (1944) and 24, 46-156 (1945); reprinted in: Selected papers on noise and stochastic processes. New York: Dover, 1954, pp. 133-294
10. [Ri] Rice, S.O.: Mathematical analysis of random noise. Bell System Tech. J. 23, 282-332, (1944) and 24, 46-156 (1945); reprinted in: Selected papers on noise and stochastic processes. New York: Dover, 1954, pp. 133-294
11. [SZ1] Shiffman, B. and Zelditch, S.: Distribution of zeros of random and quantum chaotic sections of positive line bundles. Commun. Math. Phys. 200, 661-683 (1999)
12. [SZ2] Shiffman, B. and Zelditch, S.: Asymptotics of almost holomorphic sections of ample line bundles on symplectic manifolds. J. Reine Angew. Math., to appear
13. [SZ3] Shiffman, B. and Zelditch, S.: Asymptotics of almost holomorphic sections of ample line bundles on symplectic manifolds: an addendum. Proc. Amer. Math. Soc., to appear
14. [Zi] Zirnbauer, M.: Supersymmetry for systems with unitary disorder: Circular ensembles. J. Phys. A 29, 7113-7136 (1996)