bokomslag Theory and Application of Random Fields
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Theory and Application of Random Fields

G Kallianpur

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  • 295 sidor
  • 1983
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.

  • Författare: G Kallianpur
  • Format: Pocket/Paperback
  • ISBN: 9783540122326
  • Språk: Engelska
  • Antal sidor: 295
  • Utgivningsdatum: 1983-04-01
  • Förlag: Springer-Verlag Berlin and Heidelberg GmbH & Co. K