Random Interlacement Point Process

  • Alexander Drewitz
  • Balázs Ráth
  • Artëm Sapozhnikov
Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)


In this chapter we give the definition of random interlacements at level u as the range of a countable collection of doubly infinite trajectories in \({\mathbb{Z}}^{d}\). This collection will arise from a certain Poisson point process (the random interlacement point process).


Point Process Finite Subset Poisson Point Process Simple Random Walk Discrete Time Markov Chain 
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Copyright information

© The Author(s) 2014

Authors and Affiliations

  • Alexander Drewitz
    • 1
  • Balázs Ráth
    • 2
  • Artëm Sapozhnikov
    • 3
  1. 1.Department of MathematicsColumbia UniversityNew York CityUSA
  2. 2.Department of MathematicsUniversity of British ColumbiaVancouverCanada
  3. 3.Max-Planck Institute of Mathematics in the SciencesLeipzigGermany

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