Large deviations, central limit theorems and L p convergence for Young measures and stochastic homogenizations

Julien Michel; Didier Piau

ESAIM: Probability and Statistics (1998)

  • Volume: 2, page 135-161
  • ISSN: 1292-8100

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Michel, Julien, and Piau, Didier. "Large deviations, central limit theorems and $L^p$ convergence for Young measures and stochastic homogenizations." ESAIM: Probability and Statistics 2 (1998): 135-161. <http://eudml.org/doc/104247>.

@article{Michel1998,
author = {Michel, Julien, Piau, Didier},
journal = {ESAIM: Probability and Statistics},
keywords = {stochastic homogenization; large deviations; Young measures},
language = {eng},
pages = {135-161},
publisher = {EDP Sciences},
title = {Large deviations, central limit theorems and $L^p$ convergence for Young measures and stochastic homogenizations},
url = {http://eudml.org/doc/104247},
volume = {2},
year = {1998},
}

TY - JOUR
AU - Michel, Julien
AU - Piau, Didier
TI - Large deviations, central limit theorems and $L^p$ convergence for Young measures and stochastic homogenizations
JO - ESAIM: Probability and Statistics
PY - 1998
PB - EDP Sciences
VL - 2
SP - 135
EP - 161
LA - eng
KW - stochastic homogenization; large deviations; Young measures
UR - http://eudml.org/doc/104247
ER -

References

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  1. BALDI, P. ( 1988) Large deviations and stochastic homogenization. Ann. Mat. Pura Appl. 151, 161-177. Zbl0654.60024MR964508
  2. BlLLINGSLEY, P. ( 1968) Convergence of probability measures. John Wiley & Sons, New York. Zbl0172.21201MR233396
  3. BREIMAN, L. ( 1968) Probability. Addison-Wesley,. Zbl0174.48801MR229267
  4. DAL MASO, G. ( 1993) An introduction to Γ-convergence. Birkhäuser,. Zbl0816.49001MR1201152
  5. DAL MASO, G., MODICA, L. ( 1986) Nonlinear stochastic homogenization. Ann. Mat. Pura Appl. 144, 347-389. Zbl0607.49010MR870884
  6. DEMBO, A., ZEITOUNI, O. ( 1992) Large deviations techniques and applications. Jones and Bartlett,. Zbl0793.60030MR1202429
  7. FACCHINETTI, G., RUSSO, L. ( 1983) Un caso unidimensionale di omogeneizzazione stocastica. Boll. U.M.I. Serie VI 98, 159-170. Zbl0534.49011MR718368
  8. JIKOV (ZHIKOV), V., KOZLOV, S., OLEINIK, O. ( 1994) Homogenization of differential operators and integral functionals. Springer, Berlin. Zbl0838.35001MR1329546
  9. KOZLOV, S. ( 1980) Averaging of random operators. Math. USSR Sbornik 37, 167-180. Zbl0444.60047MR542557
  10. MICHEL, J., ROBERT, R. ( 1994) Large deviations for Young measures and statistical mechanics of infinite dimensional dynamical systems with conservation law. Comm. Math. Phys. 159, 195-215. Zbl0793.60109MR1257248
  11. PIAU, D. ( 1998) Large deviations and Young measures for a Poissonian model of bi-phased material. subinitted. Zbl0959.60020
  12. YURINSKIĬ, V. ( 1991) Homogenization error estimates for random elliptic operators. Lect. in Appl. Maths. 27, 285-290. Zbl0729.60060MR1117252

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