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- W108588175 abstract "In this article, we prove new inequalities between some common probability metrics. Using these inequalities, we obtain novel local limit theorems for the magnetization in the Curie-Weiss model at high temperature, the number of triangles and isolated vertices in Erdős-Renyi random graphs, as well as the independence number in a geometric random graph. We also give upper bounds on the rates of convergence for these local limit theorems and also for some other probability metrics. Our proofs are based on the Landau-Kolmogorov inequalities and new smoothing techniques." @default.
- W108588175 created "2016-06-24" @default.
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- W108588175 date "2010-11-13" @default.
- W108588175 modified "2023-10-16" @default.
- W108588175 title "A probabilistic approach to local limit theorems with applications to random graphs" @default.
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