Analyticity properties of scattering amplitudes: A review of some recent developments -- Recent development in hyperfunction theory and its application to physics (microlocal analysis of s-matrices and related quantities) -- Micro-local calculus -- Microlocal study of S-matrix singularity structure -- Convolutors for ultrahyperfunctions -- Mass singularities of Feynman amplitudes -- Large momentum behaviour of Feynman amplitudes -- Spectral dependence of the analyticity domain of local vertex functions -- Asymptotics and light-cone singularities in quantum field theory -- Structure of singularities of Wightman-distributions and the Wilson-Zimmermann-expansion respectively lightcone-expansion -- Conformal invariance in Minkowskian quantum field theory and global operator expansions -- On some massless superrenormalizàble and nonrenormalizable theories -- The locality condition in parafermi field theory -- Bound state nature and deep inelastic structure functions -- The physical content of the statistical bootstrap and high energy hadron interaction -- Field theoretical approach to composite particle reactions -- Particles and bound states and progress toward unitarity and scaling -- Field theory of relativistic strings -- Results and problems in irreversible statistical mechanics of open systems -- The Wightman axioms and the mass gap for weakly coupled (?4)3 quantum field theories -- Soluble models and the meaning of nonrenormalizability -- Bound states and asymptotic fields in model field theories -- Feynman propagators associated with the Veneziano model -- Dual string models and quantum gravity -- Physical states satisfying supergauge conditions in dual resonance models -- The canonical quantization of a relativistic string -- Algebraic methods and quark structure -- Unitarity and asymptotic condition in a model with dipole ghost -- Invariant gauge families inherent in Abelian-gauge field theory -- Space-time approach to anomalies in the Ward-Takahashi identities and implications in physical processes -- Dispersion approach to Ward-Takahashi identities -- Renormalization of supersymmetric gauge theories -- Stochastic calculus -- Asymptotic properties of the spectral distributions of disordered systems -- A remark to Harris's theorem on percolation -- The ergodicity of the motion of a particle in a potential field -- Ergodicity of some simple model systems of infinitely many particles -- New exact solutions of the classical Yang-Mills field equation -- Topology of Higgs fields -- Spontaneous breaking of chiral symmetry in a vector-gluon model -- Quantum field-theoretical approach to spontaneously broken gauge invariance -- Reviews on axiomatic study of symmetry breaking -- Structure of renormalized Feynman amplitudes -- On the regularization in the Callan-Symanzik equation -- The statistics of particles in local quantum theories -- Relaxation and fluctuation of macrovariables -- Holomorphic functions with a nonnegative imaginary part in the future tube -- Algebraic aspects of Wightman quantum field theory -- The infrared problem and non-fock representations of the canonical commutation relations -- Dynamical theories of Brownian motion -- Continuous representations of the test function algebra and the existence problem for quantum fields -- Unbounded derivations of C* algebras -- A method for making relativistic non-quantum systems by constructing the Hamiltonian and the other nine generating functions -- An algebraic approach to the theory of K-flows and K-entropy -- Symmetry restoration at finite temperature -- Critical behaviour of stationary random fields -- Phase transitions of continuous order -- Order of the phase transition related to the degeneracy and interaction with proposal for an exact problem -- The Heisenberg model on the Cayley tree -- Generalized Gell-Mann and low group Transformations: Scaling variables and cross-over effects -- Generalizations and applications of Callan-Symanzik equations to statistical mechanics in critical phenomena -- On the rigorous definition of superfluidity and superconductivity -- Variational problems and free boundary problems -- Uniqueness, analyticity and decay properties of correlations in equilibrium systems -- On the propagation of support of solutions to general systems of partial differential equations -- Wave propagation in a non-linear lattice -- Quantization of non-linear waves -- On the nonlinear diffusion equation of Kolmogorov-Petrovskii-Piskunov type -- Global solutions to the Broadwell's model of Boltzmann equation for a simple discrete velocity gas -- Scaling method for asymptotic evaluation in nonequilibrium statistical mechanics -- Self-entrainment of a population of coupled non-linear oscillators -- Thermodynamic limit of non-equilibrium systems -- Equilibrium states and ergodic properties of infinite systems -- Variational principles for Markov processes and Onsager principle -- Functional averages in statistical physics -- On the validity of collective variable description of bose systems -- Equilibrium statistical mechanics of one-dimensional classical lattice systems -- A look at the development of spectral and scattering theory in Japan -- On the Born-Oppenheimer approximation -- Abstract approaches to spectral and scattering theory, contributions from Japan -- Eigenfunction expansions for differential operators with operator-valued coefficients and their applications to the Schrödinger operators with long-range potentials -- Asymptotic completeness in three-particle quantum mechanical scattering -- Decay and asymptotics for wave equations with dissipative term -- Treatment of three body problems in coordinate space -- Links between decay properties of correlations and analyticity of the pressure and correlation functions -- Linear response , stability , cluster properties -- Equilibrium and metastable states of classical systems -- Dynamical theories of Brownian motion -- Distribution of zeros and the equation of state -- New theorems on algebraic equation and its application to statistical physics -- Operator-valued-measure approach to spectra of two-dimensional classical harmonic lattices -- Models for relativistic statistical mechanics -- Path integrals in Riemannian manifolds -- Bose quantum field theory as an Ising ferromagnet: Recent developments.