Chapter

Quantum Independent Increment Processes II

Volume 1866 of the series Lecture Notes in Mathematics pp 33-159

Date:

Classical and Free Infinite Divisibility and Lévy Processes

  • Ole E. Barndorff-NielsenAffiliated withDept. of Mathematical Sciences, University of Aarhus
  • , Steen ThorbjørnsenAffiliated withDept. of Mathematics & Computer Science, University of Southern Denmark

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Abstract

The present lecture notes have grown out of a wish to understand whether certain important concepts of classical infinite divisibility and Lévy processes, such as selfdecomposability and the Lévy-Itô decomposition, have natural and interesting analogues in free probability.