Large Deviations for Random Graphs pp 7-25 | Cite as
Preparation
Chapter
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Abstract
This chapter summarizes some basic results from analysis and probability that are required in this monograph. Complete proofs are given in all cases, so that the reader will not need to look up external references.
References
- 1.Finner, H. (1992). A generalization of Hölder’s inequality and some probability inequalities. The Annals of Probability, 20(4), 1893–1901.MathSciNetCrossRefMATHGoogle Scholar
- 2.Fortuin, C. M., Kasteleyn, P. W., & Ginibre, J. (1971). Correlation inequalities on some partially ordered sets. Communications in Mathematical Physics, 22, 89–103.MathSciNetCrossRefMATHGoogle Scholar
- 3.Friedgut, E. (2004). Hypergraphs, entropy, and inequalities. The American Mathematical Monthly, 111(9), 749–760.MathSciNetCrossRefMATHGoogle Scholar
- 4.Lubetzky, E., & Zhao, Y. (2015). On replica symmetry of large deviations in random graphs. Random Structures Algorithms, 47(1), 109–146.MathSciNetCrossRefMATHGoogle Scholar
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