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arXiv 2004-12-16 0 views

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

Bertoin, Jean · Roynette, Bernard · Yor, Marc

Original · EN

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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