Skip to main content

Stochastic homogenization and ergodic theory

  • 581 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 1190)

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. D. Dal Maso. ‘Questioni di topologia legate alla Γ-convergenza'. Ricerche di Matematica, 32 (1983), 135–162.

    MathSciNet  Google Scholar 

  2. G.Dal Maso, L.Modica. ‘Nonlinear Stochastic Homogenization'. (To appear on Annali di Matematica Pura e Applicata).

    Google Scholar 

  3. G.Dal Maso, L.Modica. ‘Integral Functionals determined by their Minima'. (To appear on Rendiconti del Seminario Matematico di Padova).

    Google Scholar 

  4. G.Dal Maso, L.Modica. ‘Nonlinear Stochastic Homogenization and Ergodic Theory'. (To appear).

    Google Scholar 

  5. G.Dal Maso, E.De Giorgi, L.Modica. (In preparation).

    Google Scholar 

  6. E.De Giorgi. ‘Convergenza in energia di operatori ellittici'. Contributi del Centro Linceo Interdisciplinare e loro Applicazioni. Accademia Nazionale dei Lincei, n.16, Roma, (1976).

    Google Scholar 

  7. S.M.Kozlov. ‘Averaging of Random Operators'. Math. USSR Sbornik 37 (1980).

    Google Scholar 

  8. P. Marcellini. ‘Periodic Solutions and Homogenization of Nonlinear Variational Problems'. Ann. Mat. Pura Appl. (4) 117 (1978),139–152.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. G.C. Papanicolaou, S.R.S. Varadhan. ‘Boundary Value Problems with Rapidly Oscillating Random Coefficients'. Proceed. of Colloq. on Random Fields, Rigorous Results in statistical mechanics and quantum fields, ed. by J. Fritz, J.L. Lebowitz, D. Szasz. Colloquia Mathematica Societ. Janos Bolyai, 10, North Holland, Amsterdam, (1979), 835–873.

    Google Scholar 

  10. V.V. Yurinskij. ‘Averaging an Elliptic-Value Problem with Random Coefficients'. Siberian Math. Journal, 21 (1980), 470–482.

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1986 Springer-Verlag

About this paper

Cite this paper

Modica, L. (1986). Stochastic homogenization and ergodic theory. In: Conti, R., De Giorgi, E., Giannessi, F. (eds) Optimization and Related Fields. Lecture Notes in Mathematics, vol 1190. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076714

Download citation

  • DOI: https://doi.org/10.1007/BFb0076714

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16476-0

  • Online ISBN: 978-3-540-39817-2

  • eBook Packages: Springer Book Archive