TRANSPORTATION INEQUALITIES FOR WEAKLY DEPENDENT SEQUENCES

TRANSPORTATION INEQUALITIES FOR WEAKLY DEPENDENT SEQUENCES

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摘要 In [3], they gave necessary and sufficient condition for T 1 C and then as applications T 1 C for weakly dependent sequences was established. In this note, based on Gozlan-L′eonard characterization for W 1 H -inequalities, we extends this result to W 1 H inequalities. In [3], they gave necessary and sufficient condition for T 1 C and then as applications T 1 C for weakly dependent sequences was established. In this note, based on Gozlan-L′eonard characterization for W 1 H -inequalities, we extends this result to W 1 H inequalities.

作者马宇韬

机构地区 School of Mathematical Sciences

出处《Acta Mathematica Scientia》 SCIE CSCD 2011年第4期1494-1502,共9页 数学物理学报（B辑英文版）

基金 Supported by NSFC (10721091)

关键词 W 1 H inequality T p （C）-inequality weakly dependent sequences tensorization W 1 H inequality T p （C）-inequality weakly dependent sequences tensorization

分类号 O189.11 [理学—基础数学]

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1马宇韬.CONVEX CONCENTRATION INEQUALITIES FOR CONTINUOUS GAS AND STOCHASTIC DOMINATION[J].Acta Mathematica Scientia,2009,29(5):1461-1468. 被引量：1

二级参考文献11

1Bertini L, Cancrini N, Cesi F. The spectral gap for a Glauber-type dynamics in a continuous gas. Ann Inst H Poincare (Probab Sta), 2002, 38(1): 91-108.
2Cesi F. Quasi-factorisation of entropy and log-Sobolev inequalities for Gibbs random fields. Probab Theory Rel Fields, 2001, 120:569-584.
3Hoeffding W. Probability inequalities for sums of bounded random variables. J Amer Stat Assoc, 1963, 58:13-30.
4Janson S. Bounds on the distributions of extremal values of a scanning process. Stoch Proc Appl, 1984, 18:313-328.
5Klein T, Ma Y, Privault N. Convex concentration inequalities and forward-backword stochastic calculus. Elect J Probab, 2006, 11:486-512.
6Nguyen X X, Zessin H. Integral and differential characterizations of the Gibbs process. Math Nachr, 1979, 88:105-115.
7Picard J. Formule de dualite sur l'espace de Poisson. Ann Inst H Poincare (Probab Stat), 1996, 32(4): 509-548.
8Ruelle D. Statistical Mechanics: Rigorous Results. New York: Benjamin, 1969.
9Wu L, A new modified Logarithmic Sobolev inequality for Poisson point process and some applications. Probab Theory Rel Fields, 2000, 118:427-438.
10Wu L. Estimate of spectral gap for continuous gas. Ann Inst H Poincare (Probab Stat), 2004, 40:387-409.

1王振,黄飞敏,丁夏畦.ON THE CAUCHY PROBLEM OF TRANSPORTATION EQUATIONS[J].Acta Mathematicae Applicatae Sinica,1997,13(2):113-122. 被引量：4
2孔令伟,万荣正,方海平.Transportation of Two Coupled Particles in an Asymmetric Saw-Tooth Potential[J].Chinese Physics Letters,2016,33(2):13-16.
3谭泽光.THE SIMPLE BLOCK ITERATIVE ALGORITHM OF AN EXTENDED ENTROPY MODEL AND ITS CONVERGENCE[J].Acta Mathematicae Applicatae Sinica,1998,14(1):96-105.
4Lai, Ying-Xu, Zheng, Zhi-Chu, Shi, Zai-Hong, Wu, Ying-Xiang.A NEW TECHNIQUE OF OIL TRANSPORTATION IN PIPELINE BY STEAM INJECTION[J].Journal of Hydrodynamics,2002,14(4):1-6.
5陈绍仲,李杰权,张同.Explicit construction of measure solutions of Cauchy problem for transportation equations[J].Science China Mathematics,1997,40(12):1287-1299. 被引量：1
6Zhi LI,Jiaowan LUO.Transportation inequalities for stochastic delay evolution equations driven by fractional Brownian motion[J].Frontiers of Mathematics in China,2015,10(2):303-321. 被引量：2
7HU ShuLan.Transportation inequalities for hidden Markov chains and applications[J].Science China Mathematics,2011,54(5):1027-1042.
8Wu Xiuguang,Huang Shichang,Shen Yongming,Y K Guo.Algebraic-Stress Turbulent Model of Planar 2-D Pollutant Transportation in Curvilinear Coordinates[J].工程科学（英文版）,2005,3(3):70-74.
9DU Ting-song,FEI Pu-sheng,JIAN Ji-gui.Relaxation-strategy-based Modification Branch-and-Bound Algorithm for Solving a Class of Transportation-production Problems[J].Chinese Quarterly Journal of Mathematics,2010,25(1):52-59.
10FANG Jian,LU LiPeng,SHAO Liang.Large eddy simulation of compressible turbulent channel flow with spanwise wall oscillation[J].Science China(Physics,Mechanics & Astronomy),2009,52(8):1233-1243. 被引量：2

Acta Mathematica Scientia

2011年第4期

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TRANSPORTATION INEQUALITIES FOR WEAKLY DEPENDENT SEQUENCES

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