321 citations · 377 across the 21 of their papers we have counts for
5 papers · 1 filter
Convoluted generalized white noise, Schwinger functions and their continuation to Wightman functions
S. Albeverio, H. Gottschalk, J. -L. Wu
We construct Euclidean random fields over , by convoluting generalized white noise with some integral kernels , as . We study properties of Schwinger (or m…
SPDEs leading to local, relativistic quantum vector fields with indefinite metric and nontrivial S-matrix
S. Albeverio, H. Gottschalk, J. -L. Wu
In this article we review the construction of local, relativistic quantum vector fields by analytic continuation of Euclidean vector fields obtained as solutions of covariant SPDEs…
On the formulation of SPDEs leading to local, relativistic QFTs with indefinite metric and nontrivial S-matrix
S. Albeverio, H. Gottschalk, J. -L. Wu
We discuss Euclidean covariant vector random fields as the solution of stochastic partial differential equations of the form , where is a covariant (w.r.t. a representati…
A model for urban growth processes with continuum state cellular automata and related differential equations
Alberto Vancheri, Paolo Giordano, Denise Andrey +1
A new kind of cellular automaton (CA) for the study of the dynamics of urban systems is proposed. The state of a cell is not described using a finite set, but by means of continuum…
A remark on Krein's resolvent formula and boundary conditions
Sergio Albeverio, Konstantin Pankrashkin
We prove an analog of Krein's resolvent formula expressing the resolvents of self-adjoint extensions in terms of boundary conditions. Applications to quantum graphs and systems wit…