General decomposition theory of exponential operators / M. Suzuki -- Quantum monte carlo and related methods : recent developments / N. Hatano and M. Suzuki -- Monte Carlo renormalization group study of the D=l XXZ model / M.A. Novotny and H.G. Evertz -- Overcoming critical slowing down in quantum Monte Carlo simulations / H.G. Evertz and M. Marcu -- Quantum manybody spin systems in random fields and anisotropies / P. Reed --Inhomogeneity effects in quantum spin systems / S. Miyashita, J. Behre and S. Yamamoto -- The quantum transfer matrix and its application to quantum spin chains / K. Kubo -- Transfer matrices in quantum many-body systems / T. Koma -- Monte Carlo calculations of elementary excitation / M. Takahashi -- The decoupled cell method of quantum Monte Carlo calculation / S. Homma -- Decoupled cell Monte Carlo study of the critical properties of the spin-1/2 ferromagnetic Heisenberg Model in three dimensions / R.J. Creswick and C.J. Sisson -- Variational Monte Carlo studies of correlated electrons / H. Shiba -- Quantum Monte Carlo simulation of multiband fermion systems and its application to superconductivity / K. Kuroki and H. Aoki -- Quantum Monte Carlo in the infinite dimensional limit / M. Jarrell, H. Akhlaghpour and Th. Pruschke -- Aspects of the sign problem / J.H. Samson -- Quantum simulations of the degenerate single-impurity Anderson model / J. Bonca and J.E. Gubernatis -- Quantum monte carlo simulation by auxiliary fields / S. Sorella -- Ground-state projection using auxiliary fields / S. Fahy -- Fermion simulations of correlated systems / M. Imada -- Dirty bosons in 2D : phases and phase transitions / N. Trivedi and M. Makivic -- Path-integral quantum Monte Carlo studies of the static and time-dependent thermodynamics of the vibrational properties of crystals / A.R. McGurn -- Relaxation of quantum systems in fluctuating media / M. Takasu