Department of Mathematics,
University of California San Diego
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Math 288 - Probability & Statistics
Márton Szőke
Budapest University of Technology
Local Limit of the Random Degree Constrained Process
Abstract:
We show that the random degree constrained process (a time-evolving random graph model with degree constraints) has a local weak limit, provided that the underlying host graphs are high degree almost regular. We, moreover, identify the limit object as a multi-type branching process, by combining coupling arguments with the analysis of a certain recursive tree process. Using a spectral characterization, we also give an asymptotic expansion of the critical time when the giant component emerges in the so-called random $d$-process, resolving a problem of Warnke and Wormald for large $d$.
Based on joint work with Balázs Ráth and Lutz Warnke; see arXiv:2409.11747
Lutz Warnke
October 31, 2024
11:00 AM
APM 6402
(Zoom-Talk: Meeting ID: 980 5804 6945, Password: 271781)
Research Areas
Combinatorics Probability Theory****************************
