Solvable models in statistical mechanics - from Ising to Chiral Potts, R.J. Baxter; functional integration and the Kontsevich integral, L.H. Kauffman; some applications of exactly solved models in statistical mechanics, M.T. Batchelor; edge states tunnelling in the fractional quantum Hall effect - physical and mathematical applications of integrability, H. Saleur; boundary flows in general coset theories, C. Ahn; avoided strings in bacterial complete genomes and a related combinatorical problem, B.L. Hao; self-dual polynomials in statistical physics and number theory, F.Y. Wu; stable membranes in the Weinberg-Salam model? A.J. Niemi et al; description of the Bose-Einstein condensate state, A.I. Solomon et al; nonlinear analysis of the Bose-Einstein condensates, M. Wadati and T. Tsurumi; a Hubbard model with pair hopping and on universal dynamical R-matrices, D. Arnaudon; quasi-Hopf twistors for elliptic quantum groups, S. Odake; classification of commuting differential operators with two variables, H. Ochiai. (Part contents)