Research Seminars @ Illinois

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Tailored for undergraduate researchers, this calendar is a curated list of research seminars at the University of Illinois. Explore the diverse world of research and expand your knowledge through engaging sessions designed to inspire and enlighten.

To have your events added or removed from this calendar, please contact OUR at ugresearch@illinois.edu

Probability Seminar

Event Type: Seminar/Symposium
Sponsor: Department of Mathematics
Location: 2101 Everitt Hall
Date: Feb 4, 2025 2:00 - 2:50 pm
Speaker: Neeladri Maitra (UIUC)
Originating Calendar: Probability Research Area Calendar; Title: Scale-free spatial random graphs: local behavior and some deviation problems.

Abstract: In this talk, we will consider the general class of scale-free spatial random graphs, which have emerged as a general tool to model snapshots of real-world networks. In the first part of the talk, we will focus on the local behavior of finite versions of such models and see how to establish a local limit towards a natural infinite version. We will study some consequences of this local convergence. In the second part, we will consider large deviations of the total number of edges in such models and try to figure out the main mechanism driving the large deviations. We will end with many open questions. Based on joint works with Remco van der Hofstad, Pim van der Hoorn, Peter Mörters, and Céline Kerriou.

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