Asymptotics of a class of solutions to the cylindrical toda equations

Communications in Mathematical Physics

Volumn 190, Issue 3, 1998, Pages 697-721

  Tracy, Craig A ^a   Widom, Harold ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032326941     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050257     Document Type: Article

References (10)

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3. Cecotti, S., Fendley, P., Intriligator, K., Vafa, C.: A new supersymmetric index. Nucl. Phys. B386, 405-452 (1992)
4. Gohberg, I. C., Feldman, I.A.: Convolution equations and projection methods for their solution. Transl. Math. Monogr. 41, Providence. RI: Am. Math. Soc., 1974
5. Kitaev, A. V.: Method of isometric deformation for "degenerate" third Painlevé equation. J. Soviet Math. 46, 2077-2082 (1989)
6. McCoy, B. M., Tracy, C. A., Wu, T. T.: Painlevé functions of the third kind. J. Math. Phys. 18, 1058-1092 (1977)
7. Tracy, C. A.: Asymptotics of a τ-function arising in the two-dimensional Ising model. Commun. Math. Phys. 142, 297-311 (1991)
8. Widom, H.: Asymptotic behavior of block Toeplitz matrices and determinants II. Adv. in Math. 21, 1-29 (1976)
9. Widom, H.: Some classes of solutions to the Toda lattice hierarchy. Commun. Math. Phys. 184, 653-661 (1997)
10. Zamolodchikov, Al, B.: Painlevé III and 2D polymers. Nucl. Phys. B432 [FS], 427-456 (1994)