Large scale correlations in normal non-Hermitian matrix ensembles

Journal of Physics A: Mathematical and General

Volumn 36, Issue 12 SPEC. ISS., 2003, Pages 3411-3424

  Wiegmann, P ^a,b   Zabrodin, A ^c,d  

^a UNIVERSITY OF CHICAGO   (United States)

^b LANDAU INSTITUTE FOR THEORETICAL PHYSICS   (Russian Federation)

^c EMANUEL INSTITUTE OF BIOCHEMICAL PHYSICS   (Russian Federation)

^d INSTITUTE FOR THEORETICAL AND EXPERIMENTAL PHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037471327     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/36/12/332     Document Type: Article

References (39)

1. Ginibre J 1965 J. Math. Phys. 6 440 Girko V 1985 Theor. Prob. Appl. 29 694 Girko V 1986 Theor. Prob. Appl. 30 677
2. Ginibre J 1965 J. Math. Phys. 6 440 Girko V 1985 Theor. Prob. Appl. 29 694 Girko V 1986 Theor. Prob. Appl. 30 677
3. Ginibre J 1965 J. Math. Phys. 6 440 Girko V 1985 Theor. Prob. Appl. 29 694 Girko V 1986 Theor. Prob. Appl. 30 677
4. Daul J-M, Kazakov V and Kostov 11993 Nucl. Phys. B 409 311-38
5. Alexandrov S, Kazakov V and Rostov 12002 Nucl. Phys. B 640 119-44
6. Eynard B 1998 J. Phys. A: Math. Gen. 31 8081 (Preprint cond- mat/9801075)
7. Fyodorov Y, Khoruzhenko B and Sommers H-J 1997 Phys. Rev. Lett. 79 557 (Preprint cond-mat/9703152) Feinberg J and Zee A 1997 Nucl. Phys. B 504 579-608 (Preprint cond- mat/9703087) Akemann G 2002 Preprint hep-th/0204246
8. Fyodorov Y, Khoruzhenko B and Sommers H-J 1997 Phys. Rev. Lett. 79 557 (Preprint cond-mat/9703152) Feinberg J and Zee A 1997 Nucl. Phys. B 504 579-608 (Preprint cond- mat/9703087) Akemann G 2002 Preprint hep-th/0204246
9. Fyodorov Y, Khoruzhenko B and Sommers H-J 1997 Phys. Rev. Lett. 79 557 (Preprint cond-mat/9703152) Feinberg J and Zee A 1997 Nucl. Phys. B 504 579-608 (Preprint cond- mat/9703087) Akemann G 2002 Preprint hep-th/0204246
10. Mineev-Weinstein M, Wiegmann P B and Zabrodin A 2000 Phys. Rev. Lett. 84 5106-9 (Preprint nlin.SI/ 0001007)
11. Wiegmann P B and Zabrodin A 2000 Commun. Math. Phys. 213 523-38 (Preprint hep-th/9909147)
12. Kostov I, Krichever I, Mineev-Weinstein M, Wiegmann P and Zabrodin A 2001 τ-function for analytic curves Random Matrices and Their Applications (MSRI publications vol 40) ed P Bleher and A Its (Cambridge: Cambridge Academic Press) pp 285-99 (Preprint hep-th/0005259)
13. Zabrodin A 2001 Teor. Mat. Fiz. 129 239-57 (Russian) (Engl. transi. 2001 Theor. Math. Phys. 129 1511-25) (Preprint math.CV/0104169)
14. Zabrodin A 2001 Teor. Mat. Fiz. 129 239-57 (Russian) (Engl. transi. 2001 Theor. Math. Phys. 129 1511-25) (Preprint math.CV/0104169)
15. Marshakov A, Wiegmann P and Zabrodin A 2002 Commun. Math. Phys. 227 131-53 (Preprint hep-th/0109048)
16. Agam O, Bettelheim E, Wiegmann P and Zabrodin A 2002 Phys. Rev. Lett. 88 236801 (Preprint cond-mat/ 0111333)
17. Chau L-L and Yu Y 1992 Phys. Lett. A167 452
18. Chau L-L and Zaboronsky O 1998 Commun. Math. Phys. 196 203-47 (Preprint hep-th/9711091)
19. Alastuey A and Jancovici B 1984 J. Stat. Phys. 34 557 Jancovici B 1995 J. Stat. Phys. 80 445
20. Alastuey A and Jancovici B 1984 J. Stat. Phys. 34 557 Jancovici B 1995 J. Stat. Phys. 80 445
21. Forrester P J 1998 Phys. Rep. 301 235-70
22. Ambjorn J, Jurkiewicz J and Makeenko Y 1990 Phys. Lett. B 251 517 Ambjorn J, Chekhov L, Kristjansen C F and Makeenko Yu 1993 Nucl. Phys. B 404 127-72 Ambjorn J, Chekhov L, Kristjansen C F and Makeenko Yu 1995 Nucl. Phys. B 449 681 (erratum) (Preprint hep-th/9302014)
23. Ambjorn J, Jurkiewicz J and Makeenko Y 1990 Phys. Lett. B 251 517 Ambjorn J, Chekhov L, Kristjansen C F and Makeenko Yu 1993 Nucl. Phys. B 404 127-72 Ambjorn J, Chekhov L, Kristjansen C F and Makeenko Yu 1995 Nucl. Phys. B 449 681 (erratum) (Preprint hep-th/9302014)
24. Ambjorn J, Jurkiewicz J and Makeenko Y 1990 Phys. Lett. B 251 517 Ambjorn J, Chekhov L, Kristjansen C F and Makeenko Yu 1993 Nucl. Phys. B 404 127-72 Ambjorn J, Chekhov L, Kristjansen C F and Makeenko Yu 1995 Nucl. Phys. B 449 681 (erratum) (Preprint hep-th/9302014)
25. Brezin E and Zee A 1993 Nucl. Phys. B 402 613
26. Aratyn H 1995 Lectures Presented at the VIII J A Swieca Summer School, Section: Particles and Fields (Rio de Janeiro, Brasil, Feb. 1995) (Preprint hep-th/9503211) Adler M and van Moerbeke P 1999 Ann. Math. 149 921-76 (Preprint hep- th/9907213)
27. Aratyn H 1995 Lectures Presented at the VIII J A Swieca Summer School, Section: Particles and Fields (Rio de Janeiro, Brasil, Feb. 1995) (Preprint hep-th/9503211) Adler M and van Moerbeke P 1999 Ann. Math. 149 921-76 (Preprint hep- th/9907213)
28. Mehta M L 1967 Random Matrices (New York: Academic)
29. Banks T, Douglas M, Seiberg N and Shenker S 1990 Phys. Lett. B 238 279
30. Di Francesco P, Gaudin M, Itzykson C and Lesage F 1994 Int. J. Mod. Phys. A 9 4257-351
31. Das S and Jevicki A 1990 Mod. Phys. Lett. A 5 1639
32. Hurwitz A and Courant R 1964 Vorlesungen über allgemeine Funktionentheorie und elliptische Funktionen. Herausgegeben und ergänzt durch einen Abschnitt über geometrische Funktionentheorie (Berlin: Springer) (Russian translation, adapted by M A Evgrafov: 1968 Theory of Functions (Moscow: Nauka))
33. Hurwitz A and Courant R 1964 Vorlesungen über allgemeine Funktionentheorie und elliptische Funktionen. Herausgegeben und ergänzt durch einen Abschnitt über geometrische Funktionentheorie (Berlin: Springer) (Russian translation, adapted by M A Evgrafov: 1968 Theory of Functions (Moscow: Nauka))
34. Gakhov G 1990 Boundary Value Problems (New York: Dover)
35. Hadamard J 1908 Mem. presentes par divers savants a l' Acad. sci. 33
36. Hille E 1962 Analytic Function Theory vol 2 (Needham Heights, MA: Ginn)
37. Jancovici B 1982 J. Stat. Phys. 28 43
38. Bergman S 1950 The Kernel Function and Conformal Mapping (Math. Survey vol 5) (Providence, RI: American Mathematical Society)
39. Chen Y and Grava T 2002 J. Phys. A: Math. Gen. 35 L5-9