Flux moyen d'un courant électrique dans un réseau aléatoire stationnaire de résistances

Jérôme Depauw

Annales de l'I.H.P. Probabilités et statistiques (1999)

  • Volume: 35, Issue: 3, page 355-370
  • ISSN: 0246-0203

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Depauw, Jérôme. "Flux moyen d'un courant électrique dans un réseau aléatoire stationnaire de résistances." Annales de l'I.H.P. Probabilités et statistiques 35.3 (1999): 355-370. <http://eudml.org/doc/77632>.

@article{Depauw1999,
author = {Depauw, Jérôme},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {pointwise ergodic theorem; cocycle of degree 2; random electrical network},
language = {fre},
number = {3},
pages = {355-370},
publisher = {Gauthier-Villars},
title = {Flux moyen d'un courant électrique dans un réseau aléatoire stationnaire de résistances},
url = {http://eudml.org/doc/77632},
volume = {35},
year = {1999},
}

TY - JOUR
AU - Depauw, Jérôme
TI - Flux moyen d'un courant électrique dans un réseau aléatoire stationnaire de résistances
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1999
PB - Gauthier-Villars
VL - 35
IS - 3
SP - 355
EP - 370
LA - fre
KW - pointwise ergodic theorem; cocycle of degree 2; random electrical network
UR - http://eudml.org/doc/77632
ER -

References

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  2. [2] D. Boivin and Y. Derriennic, The ergodic theorem for additive cocycles of Zd or Rd. Ergod. Theory & Dynamical Systems. vol. 11, 1991, p. 19-39. Zbl0723.60008
  3. [3] J. Depauw, Théorème ergodique ponctuel pour cocycle de degré deux. C. R. Acad. Sci. Paris, t. 325, Série I, 1997, p. 87-90. Zbl0895.60001MR1461403
  4. [4] H. Flanders, Infinite networks: I-Resistive networks. IEEE Transactions on Circuit Theory. Vol. CT-18, No. 3, May, 1971. Zbl0227.94023MR275998
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  7. [7] S.M. Koslov, The method of averaging and walks in inhomogeneous environments. Russian Math. Surveys, vol. 40, 1985, p. 73-145. Zbl0615.60063
  8. [8] R. Kunnemann, The diffusion limit for reversible jump on Zd with ergodic random bond conductivities. Comm. Math. Phys., vol. 90, 1983, p. 27-68. Zbl0523.60097MR714611
  9. [9] G. Lawler, Intersections of Random Walks. Birkhäuser, 1991. Zbl0925.60078MR1117680
  10. [10] F. Spitzer, Principles of Random Walks. Springer-Verlag, 1976. Zbl0359.60003MR388547
  11. [11] E. Stein, Singular Integrals and Differentiability Properties of Functions. Princeton University Press, 1970. Zbl0207.13501MR290095
  12. [12] E.M. Stein and G. Weiss, Introduction to Fourier Analysis on Euclidean Spaces. Princeton University Press, 1971. Zbl0232.42007MR304972
  13. [13] A.H. Zemanian, Infinite Electrical Networks. Cambridge Tracts in Math., 101. Zbl0755.94014

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