A Local Limit Theorem on the Semi-Direct Product of ℝ * + and ℝ d

Emile Le Page; Marc Peigne

Publications mathématiques et informatique de Rennes (1994)

  • Issue: 2, page 1-26

How to cite

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Le Page, Emile, and Peigne, Marc. "A Local Limit Theorem on the Semi-Direct Product of $\mathbb {R}^{*+}$ and $\mathbb {R}^d$." Publications mathématiques et informatique de Rennes (1994): 1-26. <http://eudml.org/doc/274701>.

@article{LePage1994,
author = {Le Page, Emile, Peigne, Marc},
journal = {Publications mathématiques et informatique de Rennes},
keywords = {random walk; local limit theorem; factorization; ratio-limit theorem; semi-direct product; Radon measures},
language = {eng},
number = {2},
pages = {1-26},
publisher = {Département de Mathématiques et Informatique, Université de Rennes},
title = {A Local Limit Theorem on the Semi-Direct Product of $\mathbb \{R\}^\{*+\}$ and $\mathbb \{R\}^d$},
url = {http://eudml.org/doc/274701},
year = {1994},
}

TY - JOUR
AU - Le Page, Emile
AU - Peigne, Marc
TI - A Local Limit Theorem on the Semi-Direct Product of $\mathbb {R}^{*+}$ and $\mathbb {R}^d$
JO - Publications mathématiques et informatique de Rennes
PY - 1994
PB - Département de Mathématiques et Informatique, Université de Rennes
IS - 2
SP - 1
EP - 26
LA - eng
KW - random walk; local limit theorem; factorization; ratio-limit theorem; semi-direct product; Radon measures
UR - http://eudml.org/doc/274701
ER -

References

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  3. [3] Bougerol PH.Exemples de théorèmes locaux sur les groupes résolublesAnn. I.H.P. , Vol. XIX, n° 4, (1983), pp. 369-391 Zbl0533.60010MR730116
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  8. [8] Grincevicius A.K.A central limit theorem for the group of linear transformation of the real axisSoviet Math. Doklady , Vol 15, n° 6, (1974), pp. 1512-1515. Zbl0326.60021
  9. [9] Guivarc'h Y.Théorèmes quotients pour les marches aléatoiresAstérisque Vol. 74, (1980), S.M.F., pp. 15-28. Zbl0448.60006MR588155
  10. [10] IglehartRandom walks with negative drift conditioned to stay positiveJ. Appl Probab., Vol. 11, (1974), pp. 742-751. Zbl0302.60038MR368168
  11. [11] Spitzer F.Principles of random walksD. Van Nostrand Company (1964 Zbl0119.34304MR171290
  12. [12] Varopoulos N. TH., Saloff-Coste L., Coulhon T.Analysis and geometry groupsCambridge Tracts in Math., n° 100, (1993) Zbl1179.22009MR1218884

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