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Bielefeld
Research Group Spectral
University of Bielefeld
University of Bonn

Research
From 1984 to 1988 BiBoS was supported by the "VolkswagenStiftung" through a granting of DM 1,500,00 apart from the regular programmes. Since February 1988 it is financed among others by the DFG. Main Research Activities In the different fields of science and technology one has to deal with "irrgeluar" phenomena, which develop under the influence of coincidental "disturbances" and thus are at most accessible through a statistical description. Applications can be found wherever temporal courses are influenced by statistical factors. Those fields comprise
Research Activities White Noise Analysis reached an important stage by the publication of its first monograph ("White Noise", Hida, Kuo, Potthoff, Streit, Kluwer 1993). The further extension of the theory aimed at
On part of the applications, process is made at the theory of Feynman path integrals and at a better understanding of self intersection local times by its chaos development The investigation of the structure and dynamics of complex systems has been continued with. The further extension of the theory aimed at
Under the term Event Enhanced Quantum Theory (EEQT) the standard formalism of the QUantum Theory has been extended. EEQT provides an algorithm for the simulation of experimental temporal sequences of individual quantum objects. The common theory of infinite dimensional stochastical processes has been extended (extension of the common theory of nonsymmetrical Dirichlet forms, processes on loop spaces and other infinite dimensional manifolds). Applications on the scrutiny of the stochastical dynamics (infinite dimensional spin systems, stochastic quantisation of fields, stochastic PDE's) have been investigated. Progress has also been made at the construction of Markov Fields and Quantum Fields on manifolds. Further applications comprise
 
BiBoS  Physics  University 