Non UBC
DSpace
Cristian Giardina
2019-11-17T10:39:01Z
2019-05-20T11:49
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.
https://circle.library.ubc.ca/rest/handle/2429/72288?expand=metadata
48.0 minutes
video/mp4
Author affiliation: University of Modena and Reggio Emilia
Oaxaca (Mexico : State)
10.14288/1.0385515
eng
Unreviewed
Vancouver : University of British Columbia Library
Banff International Research Station for Mathematical Innovation and Discovery
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
Faculty
BIRS Workshop Lecture Videos (Oaxaca (Mexico : State))
Mathematics
Probability Theory And Stochastic Processes, Statistics
Quenched and annealed Ising models on random graphs
Moving Image
http://hdl.handle.net/2429/72288