Differentiability-free conditions on the free-energy function implying large deviations
Confluentes Mathematici, Tome 1 (2009) no. 2, pp. 181-196.
Publié le :
DOI : 10.1142/S1793744209000079 
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     author = {Comman, Henri},
     title = {Differentiability-free conditions on the free-energy function implying large deviations},
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     url = {http://www.numdam.org/articles/10.1142/S1793744209000079/}
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Comman, Henri. Differentiability-free conditions on the free-energy function implying large deviations. Confluentes Mathematici, Tome 1 (2009) no. 2, pp. 181-196. doi : 10.1142/S1793744209000079. http://www.numdam.org/articles/10.1142/S1793744209000079/

[1] H. Comman, J. Theor. Probab. 18, 187 (2005), DOI: 10.1007/s10959-004-2594-2 .

[2] H. Comman, Trans. Amer. Math. Soc. 355, 2905 (2003), DOI: 10.1090/S0002-9947-03-03274-4 .

[3] A. Dembo and O. Zeitouni , Large Deviations Techniques and Applications , 2nd edn. ( Springer-Verlag , 1998 ) .

[4] R. S. Ellis, Scand. Actuarial J. 1, 97 (1995).

[5] R. S. Ellis , Entropy, Large Deviations, and Statistical Mechanics ( Springer-Verlag , 1985 ) .

[6] R. S. Ellis, Ann. Probab. 12, 1 (1984), DOI: 10.1214/aop/1176993370 .

[7] J. Gärtner, Th. Probab. Appl. 22, 24 (1977).

[8] G. L. O’Brien, Stoch. Process. Appl. 57, 1 (1995), DOI: 10.1016/0304-4149(95)00007-T .

[9] G. L. O’Brien and W. Vervaat, Stable Processes and Related Topics, eds. S. Cambanis, G. Samorodniski and M. S. Taqqu (Birkhäuser, 1991) pp. 43-83.

[10] R. T. Rockafeller , Convex Analysis ( Princeton Univ. Press , 1970 ) .

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