@article{AIHPB_1999__35_2_205_0,
author = {Bodineau, Thierry and Guionnet, Alice},
title = {About the stationary states of vortex systems},
journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
pages = {205--237},
year = {1999},
publisher = {Gauthier-Villars},
volume = {35},
number = {2},
mrnumber = {1678526},
zbl = {0920.60095},
language = {en},
url = {https://www.numdam.org/item/AIHPB_1999__35_2_205_0/}
}
TY - JOUR AU - Bodineau, Thierry AU - Guionnet, Alice TI - About the stationary states of vortex systems JO - Annales de l'I.H.P. Probabilités et statistiques PY - 1999 SP - 205 EP - 237 VL - 35 IS - 2 PB - Gauthier-Villars UR - https://www.numdam.org/item/AIHPB_1999__35_2_205_0/ LA - en ID - AIHPB_1999__35_2_205_0 ER -
Bodineau, Thierry; Guionnet, Alice. About the stationary states of vortex systems. Annales de l'I.H.P. Probabilités et statistiques, Tome 35 (1999) no. 2, pp. 205-237. https://www.numdam.org/item/AIHPB_1999__35_2_205_0/
[1] , , Limit Theorems for U-processes, Ann. Probab., Vol. 21, 1993, pp. 1494-1542. | Zbl | MR
[2] , , Méthode de Laplace : Etude variationnelle des fluctuations de diffusions de type "champ moyen", Stochastics , Vol. 31-32, 1990, pp. 79-144 | Zbl | MR
[3] , , , , A special class of stationary flows for two dimensional Euler equations : A statistical mechanics description, Commun. Math. Phys., Vol. 143, 1991, pp. 501-525. | Zbl | MR
[4] , , , , A special class of stationary flows for two dimensional Euler equations : A statistical mechanics description. Part 2 Commun. Math. Phys., Vol. 174, 1995, pp. 229-260. | Zbl | MR
[5] , , Large deviations techniques and Applications. Jones and Bartlett, 1993. | Zbl | MR
[6] , , Larges deviations, Academic Press, 1989. | Zbl | MR
[7] , , Equilibrium properties of a two dimensional Coulomb gas, Phys. Rev. A, Vol. 9, 6, 1973, pp. 2598-2616.
[8] , , Negative-temperature states and large-scale, long-lived vortices in two-dimensional turbulence, J. Stat. Phys., Vol. 70, Nov. 3/4, 1993, pp. 833-886. | Zbl | MR
[9] , Classical and quantum statistical mechanics in one and two dimensions, two component Yukawa and Coulomb systems, Commun. Math. Phys., Vol. 47, 1976, pp. 233-268. | Zbl | MR
[10] , , Statistical mechanics of vortices in an inviscid two-dimensional fluid, Commun. Math. Phys., Vol. 87, 1982, pp. 1-36. | Zbl | MR
[11] , Fluctuations for strongly interacting random variables and Wigner's law, to appear in Prob. Th. Rel. Fields, 1996.
[12] , , Negative temperature states for the two dimensional guiding-centre plasma, J. Plasma Phys., Vol. 10, part 1, 1973, pp. 107-121.
[13] , Statistical mechanics of classical particles with logarithmic interactions, Commun. Pure Appl. Math., Vol. 46, 1, 1993, pp. 27-56. | Zbl | MR
[14] , , The micro-canonical point vortex ensemble : beyond equivalence, Lett. Math. Phys., Vol. 42, 1, 1997, pp. 43-58. | Zbl | MR
[15] , , Mathematical theory of incompressible nonviscous fluids, Springer, Applied Math. sciences, Vol. 96, 1995. | Zbl | MR
[16] , Statistical hydrodynamics, Supplemento al Nuovo Cimento, Vol. 6, 1949, pp. 279-287. | MR
[17] , The point vortex method for periodic weak solutions of the 2-D Euler equations, Comm. Pure Appl. Math., Vol. 49, 9, 1996, pp. 911-965. | Zbl | MR






