Proceedings of the Second ISAAC Congress

Volume 1: Preface. 1. A central limit theorem for the Simple random walk on a crystal lattice; M. Kotani, T. Sunada. 2. Level Statistics for Quantum Hamiltonians - Some Preliminary Ideas toward Mathematical Justification of the Theory of Berry and Tabor; N. Minami. 3. Fermion process and Fredholm determinant; T. Shirai, Y. Takahashi. 4. Strong type estimation from weak type estimates for some integral operators; N. Fujii. 5. Conjugate Fourier Series and Integrals of Several Variables in the l - 1 Sense; Z. Li. 6. Admissible wavelets and Siegel domains; H. Liu. 7. Some results on a class of oscillatory Integrals; S. Lu. 8. Weighted Hardy spaces on a domain; A. Miyachi. 9. Commutators of singular integral operators on Morrey spaces with some growth functions; T. Mizuhara. 10. On generalized fractional integrals in the Orlicz spaces; E. Nakai. 11. Weak (1,1) estimates for Littlewood-Paley functions with rough kernels; S. Sato. 12. A Note on average densities of Brownian intersection measures; N.-R. Shieh. 13. Problem of integral geometry on paraboloids with perturbation; A.H. Begmatov. 14. The connection between discrete and continuous realisations of least squares method; Y.V. Chebrakov, V.V. Shmagin. 15. An Eigenvalue Problem for Analytic Functions; D.Q. Dai, M.S. Liu. 16. On quadrature formulae of hypersingular integrals; J.Y. Du, J.C. Hu. 17. Theoretical and numerical analysis of inversion of satellite remote sensing; S.-x. Huang, J. Li. 18. Optimization of vector-valued integral equations for a class; C.G. Hu, L.X. Ma. 19. Nonlinear Riemann-Hilbert problems of first order quasi-linear elliptic system; M.Z. Li. 20. The algorithm implementation of Cauchy singular integral in Daubechies wavelets on the interval; W. Lin, Q. Li. 21. Closed form solution for a hypersingular integral equation of order n + 1; X. Li. 22. Cyclically symmetric crack problems of different media II; J. Lu. 23. Linear conjugate boundary value problems for first order ordinary system of linear differential equations with singular or super singular coefficients; N. Rajabov. 24. Initial-mixed boundary value problems for parabolic equations of second order with measurable coeeficients in a higher dimensional domain; G.C. Wen. 25. Stability estimates in states-estimation for a heat process; D. Xu, M. Yamamoto. 26. Plastic zone and opening displacement for an asymmetrical fast propagating semi-infinite crack in a strip; X.-C. Yang, T.-Y. Fan. 27. Certain class of hyperanalytic Haseman boundary value problems; Y.S. Zeng. 28. On compound boundary value problems for non linear elliptic systems of first order; C. Zhao. 29. On the integral of Cauchy type and the generalized Harnack theorem for bianalytic functions; Z. Zhao. 30. The growth of spirallike mappings; H. Hamada, G. Kohr. 31. Subordination principle to functions of several complex variables; K.H. Shon, G.M. Son. 32. r-adic Nevanlinna Theory and Functional Equations; A. Boutabaa, A. Escassut. 33. Unique range sets in p-adic and complex analysis; A. Escassut, A. Boutabaa. 34. On uniqueness of meromorphic functions sharing finite sets; H. Fujimoto. 35. Defect relations for moving targets; P.-C. Hu, C.-C. Yang. 36. The Green-residue theorem and the Nevanlinna's second theorem on small functions in Banach spaces; C.-G. Hu, X.-F. Ye. 37. Dynamics of Transcendental Functions; X. Hua, et al. 38. On the Growth of Meromorphic Solutions of Algebraic Differential Equations; L. Liao. 39. Numerical conformal mapping by the charge simulation method and its application to potential flow analysis; K. Amano, et al. 40. Henon mapping of complex n-space in complex n-space; Y. Fukushima. 41. The Caratheodory convergence of Fatou components of polynomials to Baker domains or wandering domains; S. Morosawa. 42. DE-type quadrature formulae for Cauchy principal-value integrals and for Hadamard finite-part integrals; H. Ogata, et al. 43. Mathematical models used for sound synthesis; K. Ohya, K. Shinjo. 44. An integral equation method of numerical conformal mapping onto parallel, circular and radial slit domains; D. Okano, K. Amano. 45. Uniformly perfect sets, rational semigroups, Kleinian Groups and Iterated functions systems; R.Stankewitz. 45 More Chapters. Volume 2: A characterization of analytic functionals on the sphere II; M. Morimoto, M. Suwa. 92. An algorithm for the local residues with the viewpoint of D-module; Y. Nakamura, S. Tajima. 93. On non quasi-analytic classes of functions and the space of Whitney jets of class M; Y.S. Park. 94. Algebraic analysis of multivariate Hermite interpolation formulas; S. Tajima. 95. Deformation of singularities via quivers; M. Tsuji. 96. Fuchsian Cauchy problem for entire functions; H. Yamane. 97. Imbedding theorems in Sobolev-Orlicz spaces; A.F. Chuvenkov. 98. Unbounded C*-seminorms on *-algebras; S.J. Bhatt, et al. 99. A remark on the Bers type of some self-maps of Riemann surfaces with two specified points; Y. Imayoshi, et al. 100. Some results concerning the determination of the polynomials on E by the dual space E'; S. Lassalle. 101. A note on Strebel differentials; Z. Li. 102. A pseudo-metric on the space of generalized quasisymmetric automorphisms of a Jordan curve; D. Partykai, K. Sakan. 103. Fatou sets of permutable functions satisfying functional equations; Y. Wang. 104. Hamilton sequences and point shift differentials; Y. Qi, S. Wu. 105. Chaos in Two-dimensional Mappings; J. Zhou. 106. Round-off error of optimal control problems in floating-point number systems; K. Tsuji. 107. Some codes determined by their weight enumerators; E.J. Cheon, S.J. Kim. 108. Goppa codes supported by two points on a curve; M. Homma, S.J. Kim. 109. The most symmetric non-singular plane curves; H. Kaneta, et al. 110. Variety of special nets of degree g -- 1 on double coverings of a smooth plane quartic of genus 9; K.-H. Cho, et al. 111. Cohomologies of elliptic curves; U. Narzullaev. 112. Non-cyclic Weierstrass semigroups; S.J. Kim, J. Komeda. Finite group actions on compact Riemann surfaces of genus 4; H. Kimura. 114. Discreteness of the mapping class group for Riemann surfaces of infinite analytic type; E. Fujikawa, et al. 115. Schottky groups and Bers boundary of Teichmuller space; K. Ito. 116. The asymptotic behavior of Eisenstein series and a comparison of the Weil-Pettersson and the Zograf-Takhtajan metrics; K. Obitsu. 117. Asplund operators on locally convex spaces; C. Boyd, et al. 118. Three dimensional shift-like mappings of dynamical degree golden ratio; K. Maegawa. 119. Iteration of some birational polynomial maps in Pn2; T. Shinohara. 120. On the Fatou component of polynomial maps on C2; M. Suzuki. 121. Closure of Drinfeld's associator and the Kontsevich integral for (2,n)-torus knots; S.D. Tyurina. 122. Extremal quasiconformal extension and quadrilateral modulus; X. Huang. 123. On the non-linearizability of analytic germs and irrationally independent fixed points; Y. Okuyama. 124. A note on a paper of Saski; Y. Komori. 125. Unified approach to conformally invariant metrics on Riemann surfaces; T. Sugawa. 126. A remark on a normal domain; T. Kanemaru. 127. Extension theorems for Sobolev and more general spaces for degenerate open sets; V.I. Burenkov. 128. Behavior of the higher order derivatives of solutions of a class of nonhypoelliptic equations in the infinite cylinder; G.H. Hakobyan, V.N. Markarjan. 129. Generalized isometric spheres of elements of PU(1,n;C); S. Kamiya. 130. Aymptotic formula for minimal eigenvalues of Hilbert type matrices; G.A. Kalyabin. 39 Other Chapters.