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This book gives an overview of statistical turbulence-modelling with applications to oceanography and limnology. It discusses how these models can be derived from the Navier-Stokes equations, step by step simplifications result in models applicable to numerical simulations for realistic solutions. Results from one-dimensional simulations are shown for various oceanic and limnic water column studies. The integration of these turbulence models in three-dimensioanl models is discussed and some selected results are shown. The two-equation turbulence models prove to be a good compromise between...

In algebraic topology some classical invariants - such as Betti numbers and Reidemeister torsion - are defined for compact spaces and finite group actions. They can be generalized using von Neumann algebras and their traces, and applied also to non-compact spaces and infinite groups. These new L2-invariants contain very interesting and novel information and can be applied to problems arising in topology, K-Theory, differential geometry, non-commutative geometry and spectral theory. It is particularly these interactions with different fields that make L2-invariants very...