A stochastic model for the lay-down of fibers on a conveyor belt in the production process of nonwovens is investigated. In particular, convergence of the stochastic process to the stationaryâ€¦ (More)

Wick calculus in Gaussian analysis is investigated. It is shown that this calculus can be developed in a space of regular generalized functions. The results are applied to the discussion of solutionsâ€¦ (More)

The concepts of regular generalized functions in Gaussian analysis are presented. Spaces of regular generalized functions are characterized and their probabilistic structure is worked out. Finally,â€¦ (More)

We construct a class of Euclidean invariant distributions H indexed by a function H holomorphic at zero. These generalized functions can be considered as generalized densities w.r.t. the white noiseâ€¦ (More)

In this work we extend Varadhanâ€™s construction of the Edwards polymer model to the case of fractional Brownian motions in Rd, for any dimension d â‰¥ 2, with arbitrary Hurst parameters H â‰¤ 1/d.

A deenition of the Bargmann-Segal space in complex Gaussian analysis is given and it is proved that there exists a canonical iso-morphism to a complex Gaussian space. In this representation theâ€¦ (More)

We construct an infinite particle/infinite volume Langevin dynamics on the space of configurations in R d having velocities as marks. The construction is done via a limiting procedure usingâ€¦ (More)

Scaling limits for the solution of Burgers equation are investigated. It is shown that the limiting distribution for the solution of Wick type Burgers equation with Gaussian initial data is the sameâ€¦ (More)

*Correspondence: johannes.maringer@itwm.fraunhofer.de 1Technische UniversitÃ¤t Kaiserslautern, Gottlieb-Daimler Str., Kaiserslautern, 67663, Germany Full list of author information is available at theâ€¦ (More)