no. 2
The equivalence of the log-Sobolev inequality and a mixing condition for unbounded spin systems on the lattice
Annales de l'I.H.P. Probabilités et statistiques, Tome 37 (2001) no. 2, pp. 223-243 
@article{AIHPB_2001__37_2_223_0,
     author = {Yoshida, Nobuo},
     title = {The equivalence of the {log-Sobolev} inequality and a mixing condition for unbounded spin systems on the lattice},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     pages = {223--243},
     year = {2001},
     publisher = {Elsevier},
     volume = {37},
     number = {2},
     mrnumber = {1819124},
     zbl = {0992.60089},
     language = {en},
     url = {https://www.numdam.org/item/AIHPB_2001__37_2_223_0/}
}
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Yoshida, Nobuo. The equivalence of the log-Sobolev inequality and a mixing condition for unbounded spin systems on the lattice. Annales de l'I.H.P. Probabilités et statistiques, Tome 37 (2001) no. 2, pp. 223-243. https://www.numdam.org/item/AIHPB_2001__37_2_223_0/

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