Stochastic Processes A Festschrift in Honour of Gopinath Kallianpur [Paperback]

This volume celebrates the many contributions which Gopinath Kallianpur has made to probability and statistics. It comprises 40 chapters which taken together survey the wide sweep of ideas which have been influenced by Professor Kallianpur's writing and research.This volume celebrates the many contributions which Gopinath Kallianpur has made to probability and statistics. It comprises 40 chapters which taken together survey the wide sweep of ideas which have been influenced by Professor Kallianpur's writing and research.A remark on the support of cadlag processes.- Large deviation results for branching processes.- Random iterations of two quadratic maps.- Zero-one law for semigroups of measures on groups.- Multiplicity properties of stationary second order random fields.- Multiple time scale analysis of hierarchically interacting systems.- Feynmans operational calculus as a generalized path integral.- Forward and backward equations for an adjoint process.- The transition function of a measure-valued branching diffusion with immigration.- Scattering theory for unitary cocycles.- Sur les variations des fonctions al?atoires Gaussiennes.- Random allocation methods in an epidemic model.- On Hellinger transforms for solutions of martingale problems.- The homogeneous chaos over compact Lie groups.- Asymptotics for two-dimensional anisotropic random walks.- A role of the L?vy Laplacian in the causal calculus of generalized white noise functionals.- On the approximation of multiple Stratonovich integrals.- Two examples of parameter estimation for stochastic partial differential equations.- Computer simulation of ?-stable Ornstein-Uhlenbeck processes.- Some linear random functional characterized by Lp-symmetries.- Higher order approximate Markov chain filters.- Fourier transform and cylindrical Hida distributions.- Representation and stability of nonlinear filters associated with Gaussian noises.- On central limit theory for families of strongly mixing additive random functilcF