Concentration on the Discrete Torus Using Transportation

@article{Sammer2009ConcentrationOT,
  title={Concentration on the Discrete Torus Using Transportation},
  author={M. Sammer and Prasad Tetali},
  journal={Combinatorics, Probability & Computing},
  year={2009},
  volume={18},
  pages={835-860}
}
The subgaussian constant of a graph arises naturally in bounding the moment generating function of Lipschitz functions on the graph, with a given probability measure on the set of vertices. The closely related spread constant of a graph measures the maximal variance over all Lipschitz functions on the graph. As such they are both useful (as demonstrated in the works of Bobkov-Houdré-Tetali and Alon-Boppana-Spencer) for describing the concentration of measure phenomenon in product graphs. An… CONTINUE READING

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