Palm theory, mass transports and ergodic theory for group-stationary processes [Elektronische Ressource] / von Daniel Sebastian Gentner

Palm theory, mass transports and ergodic theory for group-stationary processes [Elektronische Ressource] / von Daniel Sebastian Gentner

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Palm Theory, Mass-Transports and Ergodic TheoryforGroup-Stationary ProcessesZur Erlangung des akademischen Grades einesDoktors der Naturwissenschaftenvon der Fakultat fur Mathematik des¨ ¨Karlsruher Instituts fur¨ Technologie (KIT)genehmigteDissertationvonDipl.-Math. M.Sc. Daniel Sebastian Gentneraus KarlsruheTag der mundlic¨ hen Prufung:¨ 16. Februar 2011Erster Gutachter: Prof. Dr. Gun¨ ter LastZweiter Gutachter: apl. Prof. Dr. Daniel HugiiiiiGratefully dedicated to my parentsClaudia and Hermannand to my dear sisterAnja.ivvPrefaceThis PhD thesis has been written during my employment as research and teachingassistant at the Institute for Stochastics at Karlsruhe Institute of Technology (KIT). Iwish to thank several people at this place for various kinds of support.SpecialthanksgotomyadvisorProf.Dr.Gun¨ terLastforintroducingmetotherealmsofrandommeasuresandStochasticGeometry,forvaluableinputandhintsformyresearchthroughoutthesethreeyearsandhisconstantreadinesstodiscussmymathproblems. Mysecond reviewer, apl. Prof. Dr. Daniel Hug, not only found a number of typing errors ina first version of this text (the remaining errors are all mine) but also provided valuablecommentsandhelp,especiallyconcerningquestionsfromconvexgeometry. Ialsobenefitedfrom discussions with PD Dr. Dieter Kadelka, PD Dr. Stefan Kuhnlein,¨ HDoz. Dr. OliverBaues, Dr. Sebastian Grensing and Dr. Panayotis Mertikopoulos. Dr.

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Published 01 January 2011
Reads 19
Language English
Document size 2 MB
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