Published November 2018 | Version v1
Journal article

Large Deviations for the Annealed Ising Model on Inhomogeneous Random Graphs: Spins and Degrees

  • 1. Ruhr-University Bochum (Germany)
  • 2. University of Modena and Reggio Emilia (Italy)
  • 3. Eindhoven University of Technology (Netherlands)

Description

We prove a large deviations principle for the total spin and the number of edges under the annealed Ising measure on generalized random graphs. We also give detailed results on how the annealing over the Ising model changes the degrees of the vertices in the graph and show how it gives rise to interesting correlated random graphs.

Additional details

Identifiers

Publishing Information

Journal Title
Journal of Statistical Physics
Journal Volume
173
Journal Issue
3-4
Journal Page Range
p. 1045-1081
ISSN
0022-4715
CODEN
JSTPBS

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
50026933
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
ANNEALING; GRAPH THEORY; ISING MODEL; RANDOMNESS; SIMULATION; SPIN
Descriptors DEC
ANGULAR MOMENTUM; CRYSTAL MODELS; HEAT TREATMENTS; MATHEMATICAL MODELS; MATHEMATICS; PARTICLE PROPERTIES

Optional Information

Copyright
Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature
Notes
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