سمینارهای تخصصی گروه آموزشی ریاضی محض

خلاصه خبر:

عنوان: Point-Shift Foliation of a Point Process

سخنران: آقای دکتر میرامید حاجی میرصادقی (دانشگاه صنعتی شریف)

A point-shift F maps each point of a point process Φ to some point of Φ. For all translation invariant point-shifts F, the Ffoliation of Φ is a partition of the support of Φ which is the discrete analogue of the stable manifold of F on Φ. It is first shown that foliations lead to a classification of the behavior of point-shifts on point processes. Both qualitative and quantitative properties of foliations are then established. It is shown that for all point-shifts F, there exists a point-shift F⊥, the orbits of which are the F-foils of Φ, and which are measure-preserving. The foils are not always stationary point processes. Nevertheless, they admit relative intensities with respect to one another.

زمان: روز سه شنبه 27/11/94 ساعت 11-12

مکان: دانشکده علوم ریاضی دانشگاه تربیت مدرس اتاق سمینار شماره 3401

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