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In 2003 the XIV International Congress on Mathematical Physics (ICMP) was held in Lisbon with more than 500 participants. Twelve plenary talks were given in various fields of Mathematical Physics: E Carlen ?On the relation between the Master equation and the Boltzmann Equation in Kinetic Theory?; A Chenciner ?Symmetries and "simple" solutions of the classical n-body problem?; M J Esteban ?Relativistic models in atomic and molecular physics?; K Fredenhagen ?Locally covariant quantum field theory?; K Gawedzki ?Simple models of turbulent transport?; I Krichever ?Algebraic versus Liouville...

This work consists of two essays on the role of time in probability and quantum physics. In the first one, K.L. Chung explains why, in his view, probability theory starts where random time appears. In the second essay J.-C. Zambrini shows why quantum physi

The book collects a series of papers centered on two main streams: Feynman path integral approach to Quantum Mechanics and statistical mechanics of quantum open systems. Key authors discuss the state-of-the-art within their fields of expertise. In addition, the volume includes a number of contributed papers with new results, which have been thoroughly refereed.