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A lower bound for the Graver complexity of the incidence matrix of a complete bipartite graph
algebraic statistics contingency table three-way transportation pro-gram
2011/3/24
We give an exponential lower bound for the Graver complexity of the incidence matrix of a complete bipartite graph of arbitrary size. Our result is a generalization of the result by Berstein and Onn (...
A simple fluctuation lower bound for a disordered massless random continuous spin model in d=2
Interfaces quenched systems continuous spin models entropy inequality
2009/4/22
We prove a finite volume lower bound of the order square root of log N on the delocalization of a disordered continuous spin model (resp. effective interface model) in d=2 in a box of size N. The inte...