Quantum Probability and Applications IV [electronic resource] : Proceedings of the Year of Quantum Probability, held at the University of Rome II, Italy, 1987 / edited by Luigi Accardi, Wilhelm von Waldenfels.

Cecchini's transition expectations and markov chains -- Central limits of squeezing operators -- On the weak coupling limit problem -- On multi-dimensional markovian cocycles -- Quantum stop times -- Quantum random walks -- Unitary dilation of a nonlinear quantum boltzmann equation -- On isometries of non associative Lp-spaces -- Convolution semigroups in quantum probability and quantum stochastic calculus -- Stochastic couplings for von neumann algebras -- The covering property in a causal logic -- Temperature states of spin-boson models -- Bernoulli fields -- The relations of the non-commutative coefficient algebra of the unitary group -- Orthogonal series and strong laws of large numbers in von neumann algebras -- Limit theorems for repeated measurements and continuous measurement processes -- Quantum diffusions on the algebra of all bounded operators on a hilbert space -- Asymptotic formula for normal operators in non-commutative L2-spaces -- Convergences in W*-algebras — Their strange behaviour and tools for their investigation -- Positive mappings on matrix algebras -- Fluctuations of the dicke maser -- Tangent bimodule and locality for dissipative operators on C*-algebras -- Noncommutative stochastic processes with independent and stationary additive increments -- The atom in the radiation field as a quantum stochastic process.

This volume, the fourth of the quantum probability series, collects part of the contributions to the Year of Quantum Probability organized by the Volterra Center of University of Rome II. The intensive communication among researchers during this Year allowed several open problems to be solved and several inexpected connections to be revealed.