"Properties and limit laws of dynamical systems with two infinite components" & "Open problems in Infinite Ergodic Theory"

Abstract: First talk: While studying dynamical systems with one infinite component, i.e. a probability preserving dynamical system and a non-integrable observable or an infinite measure preserving dynamical system with an integrable observable still has a lot of interesting questions - it is interesting to study systems with more than one infinite component. An example would be an infinite measure system with an observable which is not integrable on a finite measure set. Another example would be a dynamical system with two dynamically separated infinite measure sets A and B; i.e. orbits have to pass through a finite measure set Y in order to pass from A to B and vice versa. I will show some (completely incomplete list of) examples where one of the above described behaviours occur. This is a somewhat expository talk including joint work with Claudio Bonanno and Muhammad Mubarak.

Second talk:

dynamical systems

Audience: researchers in the topic

Comments: For the link check www.dinamici.org/dai-seminars/2024-06-schindler-aaronson/

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DinAmicI: Another Internet Seminar

Series comments: For more information and for the instructions to obtain the link to the seminars, visit:

www.dinamici.org/dai-seminar/

Moreover, most seminars will be streamed live on the DinAmicI YouTube channel:

www.youtube.com/channel/UCyNNg155G3iLS7l-qZjboyg

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