The one dimensional annealed δ-Lyapounov exponent

Tobias Povel

Annales de l'I.H.P. Probabilités et statistiques (1998)

  • Volume: 34, Issue: 1, page 61-72
  • ISSN: 0246-0203

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Povel, Tobias. "The one dimensional annealed δ-Lyapounov exponent." Annales de l'I.H.P. Probabilités et statistiques 34.1 (1998): 61-72. <http://eudml.org/doc/77595>.

@article{Povel1998,
author = {Povel, Tobias},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {Brownian motion; Poisson points},
language = {eng},
number = {1},
pages = {61-72},
publisher = {Gauthier-Villars},
title = {The one dimensional annealed δ-Lyapounov exponent},
url = {http://eudml.org/doc/77595},
volume = {34},
year = {1998},
}

TY - JOUR
AU - Povel, Tobias
TI - The one dimensional annealed δ-Lyapounov exponent
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1998
PB - Gauthier-Villars
VL - 34
IS - 1
SP - 61
EP - 72
LA - eng
KW - Brownian motion; Poisson points
UR - http://eudml.org/doc/77595
ER -

References

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  1. [1] R. Carmona and J. Lacroix, Spectral theory of random Schrödinger operators, Birkhäuser, 1990. Zbl0717.60074MR1102675
  2. [2] T. Povel, Critical large deviations of one dimensional annealed Brownian motion in a Poissonian Potential, to appear in Ann. Probab. Zbl0911.60014MR1487434
  3. [3] D. Revuz and M. Yor, Continous martingales and Brownian motion, Springer, 1991. Zbl0731.60002MR1083357
  4. [4] B. Simon, The bound state of weakly coupled Schrödinger operators in one and two dimensions, Ann. Physics, Vol. 97, 1976, pp. 279-288. Zbl0325.35029MR404846
  5. [5] B. Simon, Functional integration and quantum physics, Academic Press, 1979. Zbl0434.28013MR544188
  6. [6] A.S. Sznitman, Annealed Lyapounov exponents and large deviations in a Poissonian potential I, Ann. Scient. Ec. Norm. Sup., 4e Serie, t. 28, 1995, pp. 345-370. Zbl0826.60018MR1326672
  7. [7] M. Yor, Some aspects of Brownian motion, Lectures in Mathematics ETHZürich, Birkhäuser, 1992. Zbl0779.60070MR1193919

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