Étant donné un ensemble fini ou dénombrable de nombres réel , , nous trouvons l'ensemble des solutions de l'équation fonctionelle
Given any finite or countable collection of real numbers , , we find all solutions to the stochastic fixed point equation
Mots-clés : stochastic fixed point equation, weighted minima and maxima, weighted branching process, harmonic analysis on trees, Choquet-Deny theorem, Weibull distributions
@article{AIHPB_2008__44_1_89_0, author = {Alsmeyer, Gerold and R\"osler, Uwe}, title = {A stochastic fixed point equation for weighted minima and maxima}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {89--103}, publisher = {Gauthier-Villars}, volume = {44}, number = {1}, year = {2008}, doi = {10.1214/07-AIHP104}, mrnumber = {2451572}, zbl = {1176.60006}, language = {en}, url = {http://archive.numdam.org/articles/10.1214/07-AIHP104/} }
TY - JOUR AU - Alsmeyer, Gerold AU - Rösler, Uwe TI - A stochastic fixed point equation for weighted minima and maxima JO - Annales de l'I.H.P. Probabilités et statistiques PY - 2008 SP - 89 EP - 103 VL - 44 IS - 1 PB - Gauthier-Villars UR - http://archive.numdam.org/articles/10.1214/07-AIHP104/ DO - 10.1214/07-AIHP104 LA - en ID - AIHPB_2008__44_1_89_0 ER -
%0 Journal Article %A Alsmeyer, Gerold %A Rösler, Uwe %T A stochastic fixed point equation for weighted minima and maxima %J Annales de l'I.H.P. Probabilités et statistiques %D 2008 %P 89-103 %V 44 %N 1 %I Gauthier-Villars %U http://archive.numdam.org/articles/10.1214/07-AIHP104/ %R 10.1214/07-AIHP104 %G en %F AIHPB_2008__44_1_89_0
Alsmeyer, Gerold; Rösler, Uwe. A stochastic fixed point equation for weighted minima and maxima. Annales de l'I.H.P. Probabilités et statistiques, Tome 44 (2008) no. 1, pp. 89-103. doi : 10.1214/07-AIHP104. http://archive.numdam.org/articles/10.1214/07-AIHP104/
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