Some Connections Between (Sub)Critical Branching Mechanisms and Bernstein Functions

نویسندگان

  • Jean Bertoin
  • Bernard Roynette
  • Marc Yor
چکیده

We describe some connections, via composition, between two functional spaces: the space of (sub)critical branching mechanisms and the space of Bernstein functions. The functions eα : x → xα where x ≥ 0 and 0 < α ≤ 1/2, and in particular the critical parameter α = 1/2, play a distinguished role.

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تاریخ انتشار 2008