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Constructions of coupling processes for Lévy processes
Authors:Björn Böttcher
Institution:
  • a School of Mathematics and Computer Science, Fujian Normal University, 350007, Fuzhou, PR China
  • b TU Dresden, Institut für Mathematische Stochastik, 01062 Dresden, Germany
  • Abstract:We construct optimal Markov couplings of Lévy processes, whose Lévy (jump) measure has an absolutely continuous component. The construction is based on properties of subordinate Brownian motions and the coupling of Brownian motions by reflection.
    Keywords:60G51  60G52  60J25  60J75
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