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Martingale Couplings and Bounds on the Tails of Probability Distributions
Martingale Couplings and Bounds Probability Distributions Statistics Theory
2011/8/30
Abstract: Hoeffding has shown that tail bounds on the distribution for sampling from a finite population with replacement also apply to the corresponding cases of sampling without replacement. (A spec...
Couplings for irregular combinatorial assemblies
Couplings irregular combinatorial assemblies
2010/11/8
When approximating the joint distribution of the component counts of a decomposable combinatorial structure that is `almost' in the logarithmic class, but nonetheless has irregular structure, it is us...
Graphons, cut norm and distance, couplings and rearrangements
Graphons cut norm distance couplings rearrangements
2010/12/6
We give a survey of basic results on the cut norm and cut metric for graphons (and sometimes more general kernels), with emphasis on the equivalence problem. The main results are not new, but we add v...
Unexpected systematic degeneracy in a system of two coupled Gaudin models with homogeneous couplings
Unexpected systematic degeneracy two coupled Gaudin models homogeneous couplings
2010/12/15
We report an unexpected systematic degeneracy between di erent multiplets in an inversion symmetric system of two coupled Gaudin models with homogeneous couplings, as occurring for example in the cont...