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Deterministic walks

Date: Thursday, September 28, 2017 16:00 - 18:00
Speaker: Giorgio Cipolloni (IST Austria)
Location: Big Seminar room Ground floor / Office Bldg West (I21.EG.101)
Series: Mathematics and CS Seminar
Host: Laszlo Erdös
Lab building west seminar room

Abstract:

An important problem in physics is the study of the transport for locally conserved quantities. One typical example is a gas of interacting particles. This problem can be very difficult, hence to study it a possibility is simplify the system, preserving its deterministic nature. An efficient model for this problem is the so called "deterministic walk". In this talk I consider the case in wich the local dynamics is the simplest possible and yet retains the characteristic of being chaotic, that is it displays a strong dependence from initial conditions: a piecewise smooth expanding map. In particular I discuss the limit behaviour and a mixing property of this model.
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