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Levy Processes on a First Order Model

Logic 2009-10-27 v2 Probability

Abstract

The classical notion of L\'evy process is generalized to one that takes as its values probabilities on a first order model equipped with a commutative semigroup. This is achieved by applying a convolution product on definable probabilities and the infinite divisibility with respect to it.

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Cite

@article{arxiv.math/0609608,
  title  = {Levy Processes on a First Order Model},
  author = {Siu-Ah Ng},
  journal= {arXiv preprint arXiv:math/0609608},
  year   = {2009}
}

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22 pages