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This volume includes new topics such as the stochastic limit approach to nonequilibrium states, a new algebraic approach to relativistic nonequilibrium local states, classical and quantum features of weak chaos, transports in quantum billiards, the Welcher-Weg puzzle with a decaying atom, and the topics related to the quantum Zeno effect. Contents: Quantum Open Systems: Onsager Relation with the "Slow" Degrees of the Field in the White Noise Equation Based on Stochastic Limit (L Accardi et al.); Nonequilibrium Local States in Relativistic Quantum Field Theory (I Ojima); Fluctuation Theorem, Nonequilibrium Steady States and MacLennan-Zubarev Ensembles of a Class of Large Quantum Systems (S Tasaki & T Matsui); Quantum Chaology: Weak Chaos: Classical and Quantum Features (R Artuso); Quantum Transport in Quantum Billiards: From Kelvin Through Arnold (K Nakamura); On Quantum-Classical Correspondence and Chaos Degree for Baker's Map (K Inoue et al.); Quantum Measurements and Related Topics: Welcher-Weg Puzzle with a Decaying Atom (S Takagi); Unstable Systems and Quantum Zeno Phenomena in Quantum Field Theory (P Facchi & S Pascazio); Quantum Decomposition and Quantum Central Limit Theorem (A Hora & N Obata); and other papers. Readership: Researchers in probability & statistics, quantum physics, stochastic theory, mathematical physics and nonlinear science.