30 citations · 305 across the 60 of their papers we have counts for
14 papers · 1 filter
A Poisson Algebra on the Hida Test Functions and a Quantization using the Cuntz Algebra
Wolfgang Bock, Vyacheslav Futorny, Mikhail Neklyudov
In this note we define one more way of quantization of classical systems. The quantization we consider is an analogue of classical Jordan-Schwinger (J.-S.) map which has been known…
The Edwards Model for fBm Loops and Starbursts
Wolfgang Bock, Torben Fattler, Ludwig Streit
We extend Varadhan's construction of the Edwards polymer model to fractional Brownian loops and fractional Brownian starbursts. We show that, as in the fBm case, the Edwards densit…
Dynamical Properties of Gaussian Chains and Rings with Long Range Interactions
Wolfgang Bock, Jinky Bornales, Ludwig Streit
Various authors have invoked discretized fractional Brownian (fBm) motion as a model for chain polymers with long range interaction of monomers along the chain. We show that for th…
Fractional Periodic Processes: Properties and an Application of Polymer Form Factors
Wolfgang Bock, Jose Luis da Silva, Ludwig Streit
In this paper we introduce and study three classes of fractional periodic processes. An application to ring polymers is investigated. We obtain a closed analytic expressions for th…
Energy Functions in Polymer Dynamics in terms of Generalized Grey Brownian Motion
Wolfgang Bock, Jose Luis da Silva, Ludwig Streit
In this paper we investigate the energy functions for a class of non Gaussian processes. These processes are characterized in terms of the Mittag-Leffler function. We obtain closed…
Stochastic Quantization for the Edwards Measure of Fractional Brownian Motion with
Wolfgang Bock, Torben Fattler, Jose Luis da Silva +1
In this paper we construct a Markov process which has as invariant measure the fractional Edwards measure based on a -dimensional fractional Brownian motion, with Hurst index $H…