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"Artificial genetic sequences have become an important tool for the development of new therapeutics but may also define a trait of technological innovation. The possibility to synthesize genes, plasmids and chromosomes combined with the possibilities of directed mutagenesis and genetically reprogramming organisms and directing their evolution will become a crucial issue in synthetic biology. The u ...

The present research proposal deals with applications of the theory of stochastic processes to foundational issues in mathematical finance. We plan to investigate non-classical no-arbitrage-type conditions, which in particular allow to go beyond the usual risk-neutral paradigm of quantitative finance, by relaxing the classical No Free Lunch with Vanishing Risk (NFLVR) condition. To this effect, we ...