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This paper provides the mathematical foundation for polynomial diffusions. They play an important role in a growing range of applications in finance, including financial market models for interest rates, credit risk, stochastic volatility, commodities and electricity. Uniqueness of polynomial...
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The dual representation of the martingale optimal transport problem in the Skorokhod space of multi dimensional cadlag …
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A P-sigma-martingale density for a given stochastic process S is a local P-martingale Z>0 starting at 1 such that the … product ZS is a P-sigma-martingale. Existence of a P-sigma-martingale density is equivalent to a classic absence … there exists a P-sigma-martingale density for S. Can we find another P-sigma-martingale density for S having some extra …
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