Title	Quenched and annealed Ising models on random graphs
Creator	Giardina, Cristian
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-05-20T11:49
Description	The ferromagnetic Ising model is a paradigmatic model of statistical physics used to study phase transitions in lattice systems. In this talk I shall consider the setting where the regular spatial structure is replaced by a random graph, which is often used to model complex networks. I shall treat both the case where the graph is essentially frozen (quenched setting) and the case where instead it is rapidly changing (annealed setting). I shall prove that quenched and annealed may have different critical temperatures, provided the graph has sufficient inhomogeneity. I shall also discuss how universal results (law of large numbers, central limit theorems, critical exponents) are affected by the disorder in the spatial structure. The picture that I will present emerges from several joint works, involving V.H. Can, S. Dommers, C. Giberti, R.van der Hofstad and M.L.Prioriello.
Extent	48.0 minutes
Subject	Mathematics; Probability theory and stochastic processes; Statistics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Modena and Reggio Emilia
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2019-11-17
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0385515
URI	http://hdl.handle.net/2429/72288
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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Quenched and annealed Ising models on random graphs Giardina, Cristian

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