CEU eTD Collection (2019); Mellick, Samuel Anthony: Point processes on locally compact groups and their cost

CEU Electronic Theses and Dissertations, 2019
Author Mellick, Samuel Anthony
Title Point processes on locally compact groups and their cost
Summary In this thesis we study point processes on locally compact groups from the measured group theoretic perspective. We look at the connection between point processes and countable Borel equivalence relations. We also define the cost of a point process and prove certain groups have fixed price one. Lastly, we show how cost can be used to determine information about asymptotic invariants of lattices in a fixed group.
Supervisor Abért, Miklós
Department Mathematics PhD
Full texthttps://www.etd.ceu.edu/2019/mellick_samuel.pdf

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