Rate of explosion of the amperean area of the planar brownian loop

Wendelin Werner

Séminaire de probabilités de Strasbourg (1994)

  • Volume: 28, page 153-163

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Werner, Wendelin. "Rate of explosion of the amperean area of the planar brownian loop." Séminaire de probabilités de Strasbourg 28 (1994): 153-163. <http://eudml.org/doc/113870>.

@article{Werner1994,
author = {Werner, Wendelin},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {Brownian loop; stochastic integral; index},
language = {eng},
pages = {153-163},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Rate of explosion of the amperean area of the planar brownian loop},
url = {http://eudml.org/doc/113870},
volume = {28},
year = {1994},
}

TY - JOUR
AU - Werner, Wendelin
TI - Rate of explosion of the amperean area of the planar brownian loop
JO - Séminaire de probabilités de Strasbourg
PY - 1994
PB - Springer - Lecture Notes in Mathematics
VL - 28
SP - 153
EP - 163
LA - eng
KW - Brownian loop; stochastic integral; index
UR - http://eudml.org/doc/113870
ER -

References

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  1. [CDO] A. Comtet, J. Desbois, S. Ouvry, Windings of planar Brownian curves, J. Phys. A: Math. Gen., 23, 3563-72 (1990). Zbl0714.60066MR1068242
  2. [E] S.F. Edwards, Statistical mechanics with topological constraints: I, Proc. Phys. Soc., 91, 513-519 (1967). Zbl0181.57001
  3. [GWS] G. Gavazzi, J.M. Wheatley, A.J. Schofield, Single-particle motion in a random magnetic flux, Phys. Rev. B, 47, 22, 15170 -15176 (1993). 
  4. [LG] J.F. Le Gall, Some properties of planar Brownian motion,Cours de l'école d'été de St-Flour, Lect. Notes in Math.1527, Springer, 1992. Zbl0779.60068MR1229519
  5. [L] P. Lévy, Processus stochastiques et Mouvement brownien, Gauthier-Villars,, Paris, 1965. Zbl0137.11602MR190953
  6. [W1] W. Werner, Sur l'ensemble des points autour desquels le mouvement brownien plan tourne beaucoup, Probab. Th. rel. Fields, 98, (to appear). MR1262969
  7. [W2] W. Werner, Formule de Green, lacet brownien plan et aire de Lévy, Stochastic Process. Appl. (to appear). Zbl0824.60085MR1334970
  8. [WS] J.M. Wheatley, A.J. Schofield, Spin-charge coupling in doped Mott Insulators, in: Proceedings of Adriatico Conference on Strongly Correlated Electron Systems 1991, Int. J. Mod. Phys. B, 6, 655-679 (1992). 
  9. [Y] M. Yor, Loi de l'indice du lacet brownien, et distribution de Hartman-Watson, Z. Warscheinlichkeitstheorie verw. Gebiete, 53, 71-95 (1980). Zbl0436.60057MR576898

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