| Título: | Transportation-information inequalities for continuum Gibbs measures |
| Autores: |
Ma, Yutao; Beijing Normal University Wang, Ran; Wuhan University Wu, Liming; Chinese Academy of Sciences and Université Blaise Pascal |
| Fecha: | 2011-01-01 |
| Publicador: | Electronic communications in probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
transportation-information inequality, concentration inequality, Gibbs measure, Lyapunov function method 60E15. 60K35 |
| Descripción: | 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. |
| Idioma: | No aplica |
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