Stochastic and Infinite Dimensional Analysis (eBook)

Preface.- Along paths inspired by Ludwig Streit: Stochastic equations for quantum fields and related systems.- Detecting hierarchical communities in net-works: a new approach.- Transition Probabilities for Processes with Memory on Topological Non-trivial Spaces.- Generalized Scaling Operators in White Noise Analysis and Applications to Hamiltonian Path Integrals with Quadratic Action.- Computer Simulations of Self-Repelling Fractional Brownian Motion.- Principal Solutions Revisited.- Laplace operators in gamma analysis.- 38 years with Professor Ludwig Streit.- Quasi-analyticity and determinacy of the full moment problem from finite to infinite dimensions.- Elements for the Retrieval of the Solar Spectrum on the Surface of Mars from an Array of Photodiodes.- Stochastic processes on ends of tree and Dirichlet forms.- Completing Canonical Quantization, and Its Role in Nontrivial Scalar Field Quantization.- Stochastic solutions of nonlinear PDE's and an extension of superprocesses.- Maximum likelihood drift estimation for the mixing of two fractional Brownian motions.- Existence of density for solutions of mixed stochastic equations.