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Quasi-invariance of Poisson distributions with respect to transformations of configurations

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Publication:954208
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DOI10.1134/S1064562408030277zbMath1167.60009MaRDI QIDQ954208

O. V. Pugachev

Publication date: 10 November 2008

Published in: Doklady Mathematics (Search for Journal in Brave)


zbMATH Keywords

quasi-invariancePoisson measuresconfiguration spaces in continuum


Mathematics Subject Classification ID

Random fields (60G60) Integration on manifolds; measures on manifolds (58C35) Random measures (60G57) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)


Related Items (1)

Beyond Haar and Cameron-Martin: the Steinhaus support



Cites Work

  • A distributional approach to multiple stochastic integrals and transformations of the Poisson measure
  • Newton polyhedron and Milnor numbers
  • Analysis and geometry on configuration spaces
  • Surface measures and tightness of \((r,p)\)-capacities on Poisson space
  • Girsanov theorem for anticipative shifts on Poisson space


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