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Palm Theory, Mass Transports and Ergodic Theory for Group-Stationary Processes

Gentner, Daniel Sebastian

Abstract:

This thesis is about random measures stationary with respect to a possibly non-transitive group action. It contains chapters on Palm Theory, the Mass-Transport Principle and Ergodic Theory for such random measures. The thesis ends with a discussion of several new models in Stochastic Geometry (Cox Delauney mosaics, isometry stationary random partitions on Riemannian manifolds).


Volltext §
DOI: 10.5445/IR/1000022449
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Stochastik (STOCH)
Publikationstyp Hochschulschrift
Publikationsjahr 2011
Sprache Englisch
Identifikator urn:nbn:de:swb:90-224492
KITopen-ID: 1000022449
Verlag Karlsruher Institut für Technologie (KIT)
Art der Arbeit Dissertation
Fakultät Fakultät für Mathematik (MATH)
Institut Institut für Stochastik (STOCH)
Prüfungsdaten 16.02.2011
Schlagwörter Palm Theory, Mass-Transport Principle, Random measures, Ergodic Theory, Stochastic Geometry, Cox Delauney mosaic, random partitions, manifolds
Relationen in KITopen
Referent/Betreuer Last, G.
KIT – Die Forschungsuniversität in der Helmholtz-Gemeinschaft
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