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Title	Quenched and annealed Ising models on random graphs
Creator	Cristian Giardina
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
Geographic Location	Oaxaca (Mexico : State)
Type	Moving Image
FileFormat	video/mp4
Language	eng
Notes	Author affiliation: University of Modena and Reggio Emilia
Series	BIRS Workshop Lecture Videos (Oaxaca (Mexico : State))
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/
AggregatedSourceRepository	DSpace

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