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Showing 2010 · math.PRShow all
3 papers · 2 filters
math.PR2010★ 1 cited
Optimal transportation, topology and uniqueness
Najma Ahmad, Hwa Kil Kim, Robert J. McCann
The Monge-Kantorovich transportation problem involves optimizing with respect to a given a cost function. Uniqueness is a fundamental open question about which little is known when…
math.PR2010
The large deviation principle for the Erdős-Rényi random graph
Sourav Chatterjee, S. R. S. Varadhan
What does an Erdos-Renyi graph look like when a rare event happens? This paper answers this question when p is fixed and n tends to infinity by establishing a large deviation princ…
math.PR2010
The missing log in large deviations for triangle counts
Sourav Chatterjee
This paper solves the problem of sharp large deviation estimates for the upper tail of the number of triangles in an Erdos-Renyi random graph, by establishing a logarithmic factor…