On the embeddability of certain infinitely divisible probability measures on Lie groups

Details On the embeddability of certain infinitely divisible probability measures on Lie groups On the embeddability of certain infinitely divisible probability measures on Lie groups

2011-02-08

arxiv.org/abs/1102.1639v1

Mathematics

Probability

24 pages

Scientific paper

We describe certain sufficient conditions for an infinitely divisible probability measure on a class of connected Lie groups to be embeddable in a continuous one-parameter convolution semigroup of probability measures. (Theorem 1.3). This enables us in particular to conclude the embeddability of all infinitely divisible probability measures on certain Lie groups, including the so called Walnut group (Corollary 1.5). The embeddability is concluded also under certain other conditions (Corollary 1.4 and Theorem 1.6).

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