Proceedings of the IFIP-WG 7/1 Working Conference held under the joint auspices of the Indian Statistical Institute Bangalore, India, January 1982
edited by G. Kallianpur.
Berlin, Heidelberg
Springer Berlin Heidelberg
1983
(vi, 295 pages)
Lecture notes in control and information sciences, 49.
Random measures and stochastic integration --; A topological invariant for linear systems describing some random fields --; Gaussian random fields and Gaussian evolutions --; Remarks on convergence of feynman path integrals --; Stochastic evolution equations and densities of the conditional distributions --; Generalized Brownian functionals --; Towards a theory of noncommutative semimartingales adapted to Brownian motion and a quantum Ito's formula --; Quantum diffusions --; Stochastic differential equations in infinite dimensions --; Commuting semigroups of isometries and karhunen representation of second order stationary random fields --; Robust filtering for systems with correlation between signal and observation --; Ito formula for generalized Brownian functionals --; Donsker's delta function as a generalized Brownian functional and its application --; The variational principle for stationary Gaussian Markov fields --; Pathwise differentiability with respect to a parameter of solutions of stochastic differential equations --; Quelques resultats analytiques sur le semi-groupe d'Ornstein-Uhlenbeck en dimension infinie --; On a wave equation associated with prediction errors for a stationary Gaussian process --; A stochastic Dyson series expansion --; On Poisson multiple stochastic integrals and associated equilibrium Markov processes --; Invitation to white noise calculus --; Some probabilistic problems in the spatially homogeneous Boltzmann equation --; Unilateral models for stochastic lattice processes --; Random walks among random scatterers --; Malliavin's calculus in terms of generalized Wiener functionals.