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math.PR2018
Replica Symmetry in Upper Tails of Mean-Field Hypergraphs
Somabha Mukherjee, Bhaswar B. Bhattacharya
Given a sequence of -uniform hypergraphs , denote by the number of edges in the random induced hypergraph obtained by including every vertex in $H…
math.PR2018
Upper Tails for Edge Eigenvalues of Random Graphs
Bhaswar B. Bhattacharya, Shirshendu Ganguly
The upper tail problem for the largest eigenvalue of the Erdős--Rényi random graph is to estimate the probability that the largest eigenvalue of the adjacency m…