The missing factor in Hoeffding's inequalities
Michel Talagrand (1995)
Annales de l'I.H.P. Probabilités et statistiques
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Michel Talagrand (1995)
Annales de l'I.H.P. Probabilités et statistiques
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Thierry Delmotte (1999)
Revista Matemática Iberoamericana
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On a graph, we give a characterization of a parabolic Harnack inequality and Gaussian estimates for reversible Markov chains by geometric properties (volume regularity and Poincaré inequality).
Catherine Bolley, Bernard Helffer (1997)
Annales de l'I.H.P. Analyse non linéaire
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Jean Jacod (1998)
Annales de l'I.H.P. Probabilités et statistiques
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Michel Talagrand (1996)
Annales de l'I.H.P. Probabilités et statistiques
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Johannes Sjöstrand (1994)
Annales de l'institut Fourier
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For correlations of the form (0.2) we consider a critical case and prove power decay upper bounds in terms of the fundamental solution of a certain elliptic operator. This is achieved by improving the use of a maximum principle. We also formulate a general maximum principle and give two applications.