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A result on power moments of Lévy-type perpetuities and its application to the Lp-convergence of Biggins' martingales in branching Lévy processes.

Alexander Iksanov et Bastien Mallein, ALEA Lat. Am. J. Prob. Math. Stat., 16 (2019), no. 1, 315--331.

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@article{IkMa2019,
  title = {A result on power moments of {L}\'evy-type perpetuities and its application to the {$L_p$}-convergence of Biggins' martingales in branching {L}\'evy processes},
  author = {Iksanov, Alexander and Mallein, Bastien},
  journal = {ALEA Lat. Am. J. Probab. Math. Stat.},
  fjournal = {ALEA Latin-American Journal of Probability and Mathematical Statistics},
  volume = {16},
  number = {1},
  pages= {315--331},
  url = {http://alea.math.cnrs.fr/articles/v16/16-11.pdf},
  year = {2019},
}