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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 (...
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...
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...
We show that the spectral radius of an N-dimensional random symmetric matrix with i.i.d. bounded centered but non-symmetrically distributed entries is bounded from below by 2σ - o(N-6/11+ε), where σ2 ...
An important tool to quantify the likeness of two probability measures are f–divergences, which have seen widespread application in statistics and information theory. An example is the total variati...

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