Global-Local subadditive ergodic theorems and application to homogenization in elasticity

Christian Licht; Gérard Michaille

Annales mathématiques Blaise Pascal (2002)

  • Volume: 9, Issue: 1, page 21-62
  • ISSN: 1259-1734

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Licht, Christian, and Michaille, Gérard. "Global-Local subadditive ergodic theorems and application to homogenization in elasticity." Annales mathématiques Blaise Pascal 9.1 (2002): 21-62. <http://eudml.org/doc/79242>.

@article{Licht2002,
author = {Licht, Christian, Michaille, Gérard},
journal = {Annales mathématiques Blaise Pascal},
keywords = {ergodic theory; homogenization; subadditive processes; nonlinear elasticity},
language = {eng},
number = {1},
pages = {21-62},
publisher = {Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal},
title = {Global-Local subadditive ergodic theorems and application to homogenization in elasticity},
url = {http://eudml.org/doc/79242},
volume = {9},
year = {2002},
}

TY - JOUR
AU - Licht, Christian
AU - Michaille, Gérard
TI - Global-Local subadditive ergodic theorems and application to homogenization in elasticity
JO - Annales mathématiques Blaise Pascal
PY - 2002
PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
VL - 9
IS - 1
SP - 21
EP - 62
LA - eng
KW - ergodic theory; homogenization; subadditive processes; nonlinear elasticity
UR - http://eudml.org/doc/79242
ER -

References

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  2. [2] Y. Abddaimi, C. Licht, and G. Michaille. Stochastic homogenization for an integral functional of quasiconvex function with linear growth. Asymptotic Analysis, 15:183-202, 1997. Zbl0912.49013MR1480998
  3. [3] M.A. Ackoglu and U. Krengel. Ergodic theorems for superadditive processes. J. Reine angew. Math., 323:53-67, 1981. Zbl0453.60039MR611442
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  9. [9] B. Dacorogna. Direct methods in the Calculus of Variations. Springer-Verlag, Berlin, 1989. Zbl0703.49001MR990890
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  13. [13] C. Licht and G. Michaille. A modelling of elastic adhesive bonding joints. Mathematical Sciences and Applications, 7:711-740, 1997. Zbl0892.73007MR1476274
  14. [14] G. Dal Masoand L. Modica. Non linear stochastic homogenization and ergodic theory. J. Reine angew. Math., 363:27-43, 1986. Zbl0582.60034MR850613
  15. [15] G. Michaille, J. Michel, and L. Piccinini. Large deviations estimates for epigraphical superadditive processes in stochastic homogenization. prepublication ENSLyon, 220, 1998. 
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  18. [18] Nguyen Xuhan Xanhand H. Zessin. Ergodic theorems for spatial processes. Z. Wah. Verw. Gebiete, 48:133-158, 1979. Zbl0397.60080MR534841

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