Quantum Probability and Applications IV: Proceedings of the Year of Quantum Probability, held at the University of Rome II, Italy, 1987

Luigi Accardi (auth.), Luigi Accardi, Wilhelm von Waldenfels (eds.)9780387516134, 0-387-51613-1

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.

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Table of contents :
Cecchini’s transition expectations and markov chains….Pages 1-6
Central limits of squeezing operators….Pages 7-19
On the weak coupling limit problem….Pages 20-58
On multi-dimensional markovian cocycles….Pages 59-67
Quantum stop times….Pages 68-72
Quantum random walks….Pages 73-88
Unitary dilation of a nonlinear quantum boltzmann equation….Pages 89-98
On isometries of non associative L p -spaces….Pages 99-106
Convolution semigroups in quantum probability and quantum stochastic calculus….Pages 107-127
Stochastic couplings for von neumann algebras….Pages 128-141
The covering property in a causal logic….Pages 142-148
Temperature states of spin-boson models….Pages 149-157
Bernoulli fields….Pages 158-181
The relations of the non-commutative coefficient algebra of the unitary group….Pages 182-220
Orthogonal series and strong laws of large numbers in von neumann algebras….Pages 221-228
Limit theorems for repeated measurements and continuous measurement processes….Pages 229-255
Quantum diffusions on the algebra of all bounded operators on a hilbert space….Pages 256-269
Asymptotic formula for normal operators in non-commutative L 2 -spaces….Pages 270-278
Convergences in W*-algebras — Their strange behaviour and tools for their investigation….Pages 279-294
Positive mappings on matrix algebras….Pages 295-303
Fluctuations of the dicke maser….Pages 304-321
Tangent bimodule and locality for dissipative operators on C*-algebras….Pages 322-338
Noncommutative stochastic processes with independent and stationary additive increments….Pages 339-351
The atom in the radiation field as a quantum stochastic process….Pages 352-355