By International Workshop on Physics and Combinatorics (2nd : 2000 : Nagoya, Japan)

The Nagoya 2000 foreign Workshop accumulated jointly a gaggle of scientists actively operating in combinatorics, illustration conception, specified capabilities, quantity idea and mathematical physics, to acquaint the contributors with a few uncomplicated ends up in those fields and to debate current and attainable interactions among the pointed out topics. This quantity constitutes the lawsuits of the workshop.

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27. 28. 29. 30. 31. -S. Wu: Phys. Rev. Lett. 73, 922 (1994). S. B. Isakov: Phys. Rev. Lett. 73, 2150 (1994). C. Nayak and F. Wilczek: Phys. Rev. Lett. 73, 2740 (1994). D. -S. -L. -S. Wu) (World Scientific, Singapore, 1995) pp. 10-20. T. Fukui and N. Kawakami: Phys. Rev. B 51, 5239 (1995). K. Hikami: Phys. Lett. A 205, 364 (1995). A. Berkovich and B. M. McCoy: In Statistical Physics on the Eve of the 21st Century (Edited by M. T. Batchelor and L. T. Wille) (World Scientific, Singapore, 1999) pp.

Q). In this section we apply another method; based on the recursion relation of the restricted partition function, we shall derive the central charge without using the explicit form of the partition function. 29) in k —> 00. In a terminology of the inverse scattering method, this function corresponds to the Jost function and the recursion relation can be viewed as the Lax formalism. 30) 31 where we have set V = e - ^ - ^ with the energy e. See that the same equation has already appeared in Eq. 24) as a saddle point equation.

S. Wu) (World Scientific, Singapore, 1995) pp. 10-20. T. Fukui and N. Kawakami: Phys. Rev. B 51, 5239 (1995). K. Hikami: Phys. Lett. A 205, 364 (1995). A. Berkovich and B. M. McCoy: In Statistical Physics on the Eve of the 21st Century (Edited by M. T. Batchelor and L. T. Wille) (World Scientific, Singapore, 1999) pp. 240-256. E. Date, M. Jimbo, A. Kuniba, T. Miwa, and M. Okado: Lett. Math. Phys. 17, 69 (1987). O. J. Heilmann and E. H. Lieb: Phys. Rev. Lett. 24, 1412 (1970). F. Calogero: J. Math.