caa a22 4500 445836016 CHVBK 20180317145330.0 cr unu---uuuuu 170323e20110401xx s 000 0 eng 10.1007/s00209-009-0642-4 doi (NATIONALLICENCE)springer-10.1007/s00209-009-0642-4 Palm pairs and the general mass-transport principle [Elektronische Daten] [Daniel Gentner, Günter Last] We consider a lcsc group G acting on a Borel space S and on an underlying σ-finite measure space. Our first main result is a transport formula connecting the Palm pairs of jointly stationary random measures on S. A key (and new) technical result is a measurable disintegration of the Haar measure on G along the orbits. The second main result is an intrinsic characterization of the Palm pairs of a G-invariant random measure. We then proceed with deriving a general version of the mass-transport principle for possibly non-transitive and non-unimodular group operations first in a deterministic and then in its full probabilistic form. Springer-Verlag, 2009 Random measure nationallicence Palm measure nationallicence Stationarity nationallicence Invariance nationallicence Locally compact group nationallicence Operation nationallicence Haar measure nationallicence Orbit nationallicence Mass-transport principle nationallicence Gentner Daniel Institut für Stochastik, Universität Karlsruhe (TH), 76128, Karlsruhe, Germany aut Last Günter Institut für Stochastik, Universität Karlsruhe (TH), 76128, Karlsruhe, Germany aut Mathematische Zeitschrift Springer-Verlag 267/3-4(2011-04-01), 695-716 0025-5874 267:3-4<695 2011 267 209 https://doi.org/10.1007/s00209-009-0642-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00209-009-0642-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Gentner Daniel Institut für Stochastik, Universität Karlsruhe (TH), 76128, Karlsruhe, Germany aut NATIONALLICENCE 700 1- Last Günter Institut für Stochastik, Universität Karlsruhe (TH), 76128, Karlsruhe, Germany aut NATIONALLICENCE 773 0- Mathematische Zeitschrift Springer-Verlag 267/3-4(2011-04-01), 695-716 0025-5874 267:3-4<695 2011 267 209 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer