Introduces the fast-excursion Heston model as a non-degenerate limit of the classical Heston model, yielding interval-valued processes via selections of random closed sets that raise barrier hitting probabilities by order 10% for short-term FX options.
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Adele-valued random walks converge weakly to an adelic Lévy process in the J1 Skorokhod topology after appropriate scaling.
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Fast-excursion limit of the Heston model
Introduces the fast-excursion Heston model as a non-degenerate limit of the classical Heston model, yielding interval-valued processes via selections of random closed sets that raise barrier hitting probabilities by order 10% for short-term FX options.
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A Scaling Limit of Random Walks in the Rational Adeles
Adele-valued random walks converge weakly to an adelic Lévy process in the J1 Skorokhod topology after appropriate scaling.