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Poisson point processes, cascades, and random coverings of \(R^ n\)

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Publication:1182247
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DOI10.1007/BF01020884zbMath0741.60111MaRDI QIDQ1182247

F. Koukiou, Pierre Picco

Publication date: 28 June 1992

Published in: Journal of Statistical Physics (Search for Journal in Brave)


zbMATH Keywords

Poisson point processeshierarchiesrandom coveringgeneralized random energy model


Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)


Related Items (2)

A random covering interpretation for the phase transition of the random energy model. ⋮ Unnamed Item



Cites Work

  • Unnamed Item
  • Unnamed Item
  • On a third-order phase transition
  • Random coverings in several dimensions
  • Positive martingales and random measures
  • Large deviations for multiplicative chaos
  • Discontinuity of the percolation density in one dimensional \(1/| x- y| ^ 2\) percolation models
  • A mathematical reformulation of Derrida's REM and GREM
  • A random covering interpretation for the phase transition of the random energy model.
  • Covering the circle with random arcs
  • ON COVERING A CIRCLE BY RANDOMLY PLACED ARCS
  • On Dvoretzky coverings for the circle
  • Covering the line with random intervals


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