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arXiv math/0702622math.PR
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Well-posedness and invariant measures for HJM models with deterministic volatility and Lévy noise

Carlo Marinelli

英文摘要:

We give sufficient conditions for existence, uniqueness and ergodicity of invariant measures for Musiela's stochastic partial differential equation with deterministic volatility and a Hilbert space valued driving Lévy noise. Conditions for the absence of arbitrage and for the existence of mild solutions are also discussed.

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