@article{CML_2009__1_2_181_0, author = {Comman, Henri}, title = {Differentiability-free conditions on the free-energy function implying large deviations}, journal = {Confluentes Mathematici}, pages = {181--196}, publisher = {World Scientific Publishing Co Pte Ltd}, volume = {1}, number = {2}, year = {2009}, doi = {10.1142/S1793744209000079}, language = {en}, url = {http://archive.numdam.org/articles/10.1142/S1793744209000079/} }
TY - JOUR AU - Comman, Henri TI - Differentiability-free conditions on the free-energy function implying large deviations JO - Confluentes Mathematici PY - 2009 SP - 181 EP - 196 VL - 1 IS - 2 PB - World Scientific Publishing Co Pte Ltd UR - http://archive.numdam.org/articles/10.1142/S1793744209000079/ DO - 10.1142/S1793744209000079 LA - en ID - CML_2009__1_2_181_0 ER -
%0 Journal Article %A Comman, Henri %T Differentiability-free conditions on the free-energy function implying large deviations %J Confluentes Mathematici %D 2009 %P 181-196 %V 1 %N 2 %I World Scientific Publishing Co Pte Ltd %U http://archive.numdam.org/articles/10.1142/S1793744209000079/ %R 10.1142/S1793744209000079 %G en %F CML_2009__1_2_181_0
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://archive.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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