**Lecture**

Point Processes, Unimodular Graphs and Related Topics

Ali Khezeli, Inria, France

7 JUN 2023

16:00 - 17:00

In this talk, I will give an overall view of my research works and areas of research. I will start with the works on stationary point processes, unimodular random graphs and their connections. The key to this connection is a property called the mass transport principle (MTP) that appears in similar forms in these two topics. The MTP connects these topics to further notions and fields of mathematics as well; e.g., graph limits, group theory, measure-preserving dynamical systems, measure-preserving group actions, and Borel equivalence relations. I will also talk about some of my other research works, in particular, proving ergodicity of a specific probabilistic model and some topics on non-discrete metric spaces. The latter includes random metric spaces, scaling limits of random discrete spaces, and two papers on generalizations of the Gromov-Hausdorff metric.

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