Lévy processes on a first order model | Zendy

Ng SiuAh | Zendy

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Lévy processes on a first order model

Author(s) -

Ng SiuAh

Publication year - 2010

Publication title -

mathematical logic quarterly

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.473

H-Index - 28

eISSN - 1521-3870

pISSN - 0942-5616

DOI - 10.1002/malq.200910015

Subject(s) - mathematics , semigroup , infinite divisibility , commutative property , order (exchange) , pure mathematics , product (mathematics) , convolution (computer science) , divisibility rule , discrete mathematics , geometry , computer science , artificial intelligence , finance , artificial neural network , economics

The classical notion of Lévy process is generalized to one that takes as its values probabilities on a first or‐der 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 (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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