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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...
A simple fluctuation lower bound for a disordered massless random continuous spin model in d=2
simple fluctuation lower bound spin model
2009/4/2
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...
On the lower bound of the spectral norm of symmetric random matrices with independent entries
spectral norm random symmetric matrix
2009/3/20
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 ...
A Lower Bound on Arbitrary f--Divergences in Terms of the Total Variation
Lower Bound Arbitrary f--Divergences Total Variation
2010/3/19
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...