"What is ... a supercritical percolation cluster?" -- Nguyen Tuan Anh

(TU)

1:15 pm (sharp), Friday, May 8, 2015

@BMS Seminar room MA 212, TU Berlin

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ABSTRACT:

With a lot of pictures my talk will explain you what a supercritical

percolation cluster is and give you an example of two random walks among

random conductances on this cluster: i) the constant speed and ii) the

variable speed random walk, which are typical examples of discrete and

continuous time Markov chains. (They may not be exactly the objects in Nina

Gantert's talk, but they will give you some feeling about this field.)

Very easy examples will show one of the main difficulties when studying

the macroscopic properties of the random walks. That is, the trap problem,

which can be roughly understood as follows. While the constant speed random

walk stays a very long time in very high conductances, the variable speed

one cannot easily get out of very low conductances. To get rid of this

difficulty, one needs some assumptions on the law of the random

conductances, which is introduced at the end of the talk.

Finally, the talk requires no background in probability theory.

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These talks are organized by students for students.

Our goal is to give you the opportunity to enhance your general mathematical

knowledge in a casual atmosphere and meet other PhD and graduate students

across the boundaries of your individual work groups.

May 08, 2015 | 01:15 PM