Random Walks and Amenability

Date

2024-7-22

Author

Mahmudov, Atabay

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Random walks on groups and graphs has a rich history and provides a connection between group theory and probability theory. The aim of this thesis is to investigate random walks on groups and graphs and their relation to amenability. Among the main topics which will be covered in the thesis will be H. Kesten‘s theorem characterizing amenable groups in terms of random walks. Also, a generalization of this theorem to invariant random subgroups proved recently by Abert, Galsner and Virag will be studied.

Subject Keywords

Random Walks, Finitely Generated Groups, Infinite Graphs and Networks, Amenability, Invariant Random Subgroups, Rastgele Adımlar, Sonlu Üreteçli Gruplar, Amenabilite, Sonsuz Çizgeler ve Ağlar, Değişmez Rastgele Altgruplar

URI

https://hdl.handle.net/11511/110382

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Graduate School of Natural and Applied Sciences, Thesis