[grads] [Sem-coll] Applied Math Seminar and Colloquium Monday Oct 23 and Thursday Oct 26
trekvana at aol.com
trekvana at aol.com
Thu Oct 19 00:31:30 CDT 2006
Please join us for next Monday's and next Thursday's talks. We will have
refreshments 10-15 minutes before the talks.
1. AM Seminar: Monday, Oct 23 4:35pm, E1 106, Damiano Brigo
2. AM Colloquium: Thursday, Oct 26 4:00pm, E1 TBA, Stephen Hartke
For further information see http://math.iit.edu/academics/sem_coll.html
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1. AM Seminar: Monday, Oct 23 4:35pm, E1 106, Damiano Brigo
Speaker: Damiano Brigo (Banca IMI and Bocconi University)
Title: Consistent Calibration of CDO Tranches with the Generalized-Poisson Loss dynamical model
Abstract: We consider a dynamical model for the loss distribution of a pool of names. The model is based on the notion of generalized Poisson process, allowing for the possibility of more than one jump in small time intervals. We introduce extensions of the basic model based on piecewise-gamma or scenario-based random intensity in the constituent Poisson processes. The models are tractable, pricing and in particular simulation is easy, and consistent calibration to quoted index CDO tranches and tranchelets for several maturities is feasible, as we illustrate with detailed numerical examples.
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2. AM Colloquium: Thursday, Oct 26 4:00pm, E1 TBA, Stephen Hartke
Speaker: Stephen Hartke (University of Illinois, Urbana-Champaign)
Title: Graph classes characterized both by forbidden subgraphs and degree sequences
Abstract: Given a set F of graphs, a graph G is F-free if G does not contain any member of F as an induced subgraph. We say that F is a degree-sequence-forcing set if, for each graph G in the class C of F-free graphs, every realization of the degree sequence of G is also in C. We prove that for any k there are finitely many minimal degree-sequence-forcing sets with cardinality k. We also give a complete characterization of the degree-sequence-forcing sets F when F has cardinality at most two, and partial results when F has cardinality three.
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