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Self-interaction and Learning in Random Structures
演讲者
Pierre Michael Tarres, Visiting Professor of Mathematics
时间
2017 4月26日 (星期三) 16:45
地点
Room 210, NYU Shanghai | 1555 Century Avenue, Pudong New Area, Shanghai

Abstract:

Self-interacting processes model phenomena observed in physics, economics, population genetics and ethology, but are also interesting on their own for their mathematical relevance. They are generally governed by a simple local rule, which creates a global structure as a result of its repeated iteration.
For instance, self-interacting random walks can be self-repelling or self-attracting, in other words more likely to stay away from or to come back to the places already visited before. In general, those self-interacting processes are not Markov processes, and therefore in some sense ''learn'' from the memory of their past behavior, as a consequence of the interaction feature. Their global dynamics arises from a network of intertwining local dynamics which interact in a subtle manner, so that the classical tools of dynamical systems or random walks in random environment are generally not sufficient on their own for their study.


NYU Shanghai STEM seminar series is a weekly seminar series on every Wednesday, starting from 12th October 2016. 
Please see below tentative schedule of STEM seminar series in 2017 Spring Semester.

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