@article{ECP1670,
author = {Yutao Ma and Ran Wang and Liming Wu},
title = {Transportation-information inequalities for continuum Gibbs measures},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {16},
year = {2011},
keywords = {transportation-information inequality, concentration inequality, Gibbs measure, Lyapunov function method},
abstract = {The objective of this paper is to establish explicit concentration inequalities for the Glauber dynamics related with continuum or discrete Gibbs measures. At first we establish the optimal transportation-information $W_1 I$-inequality for the $M/M/\infty$-queue associated with the Poisson measure, which improves several previous known results. Under the Dobrushin's uniqueness condition, we obtain some explicit $W_1 I$-inequalities for Gibbs measures both in the continuum and in the discrete lattice. Our method is a combination of Lipschitzian spectral gap, the Lyapunov test function approach and the tensorization technique.},
pages = {no. 52, 600-613},
issn = {1083-589X},
doi = {10.1214/ECP.v16-1670},
url = {http://ecp.ejpecp.org/article/view/1670}}