Page 2 of 12 JESPER M . MØLLER
نویسندگان
چکیده
The classical approach of constructing finite Postnikov systems by k-invariants is compared with the global approach of Dwyer, Kan, and Smith. We concentrate on the case of 3-stage Postnikov pieces and provide examples where a classification is feasible. In general though the computational difficulty of the global approach is equivalent to that of the classical one. . . . all mathematics leads, doesn’t it, sooner or later, to some kind of human suffering. “Against the Day”, Thomas Pynchon
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Jesper Møller and Jakob G . Rasmussen
This article concerns a simulation algorithm for unmarked and marked Hawkes processes. The algorithm suffers from edge effects but is much faster than the perfect simulation algorithm introduced in our previous work [12]. We derive various useful measures for the error committed when using the algorithm, and we discuss various empirical results for the algorithm compared with perfect simulations.
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