Bootstrap processes on inhomogeneous random networks

Prof. Nikolaos Fountoulakis, University of Birmingham

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Oct 19, 2017
from 02:00 AM to 02:00 PM


MAB 119

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The bootstrap  processes were introduced in the late 1970 by Chalupa, Leath and Reich in the context of statistical physics. Besides their significance in that context, nowadays these processes are viewed as epidemic or dissemination processes on graphs. In this talk, I will discuss a phase transition on the evolution of a bootstrap process on several models of inhomogeneous random graphs, which is associated with the power law degree distribution (also known as scale-freeness).  This phenomenon resembles the metastability phenomena of the bootstrap process, that were first observed by Aizenman and Lebowitz on large but finite boxes of the integer lattice.
This is based on joint works with M. Abdullah, H. Amini, K. Panagiotou, M. Kang, C. Koch and T. Makai. 

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