Nous renforçons les propriétés de grandes déviations d'un processus de coarse graining déjà étudié par Boucher, Ellis et Turkington [Ann. Probab. 27 (1999) 297–324].
We improve the Large Deviations Principle satisfied by a Coarse Grained process already analyzed by Boucher, Ellis and Turkington [Ann. Probab. 27 (1999) 297–324].
Accepté le :
Publié le :
José Trashorras 1
@article{CRMATH_2003__336_1_69_0, author = {Jos\'e Trashorras}, title = {Principes de grandes d\'eviations pour des processus de {\guillemotleft} coarse graining {\guillemotright}}, journal = {Comptes Rendus. Math\'ematique}, pages = {69--74}, publisher = {Elsevier}, volume = {336}, number = {1}, year = {2003}, doi = {10.1016/S1631-073X(02)00010-9}, language = {fr}, }
José Trashorras. Principes de grandes déviations pour des processus de « coarse graining ». Comptes Rendus. Mathématique, Volume 336 (2003) no. 1, pp. 69-74. doi : 10.1016/S1631-073X(02)00010-9. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)00010-9/
[1] Spatializing random measures: doubly indexed processes and the large deviation principle, Ann. Probab., Volume 27 (1999), pp. 297-324
[2] Derivation of maximum entropy principles in two-dimensional turbulence via large deviations, J. Statist. Phys., Volume 98 (2000), pp. 1235-1278
[3] Real Analysis and Probability, Wadsworth & Brooks, Pacific Grove, 1989
[4] A Weak Convergence Approach of the Theory of Large Deviations, Wiley, New York, 1997
[5] R.S. Ellis, K. Haven, B. Turkington, The large deviation principle for coarse grained processes, Preprint, 2001
[6] Large deviations for Young measures and statistical mechanics of infinite-dimensional dynamical systems with conservation law, Comm. Math. Phys., Volume 159 (1994), pp. 195-215
[7] Statistical hydrodynamics, Nuovo Cimento, Volume 6 (1949), pp. 279-287
[8] A maximum-entropy principle for two-dimensional perfect fluid dynamics, J. Statist. Phys., Volume 65 (1991), pp. 531-553
[9] J. Trashorras, Étude des propriétés de grandes déviations de différents modèles de champ moyen, Thèse de doctorat de l'Université Paris 7, 2001
Cité par Sources :
Commentaires - Politique