%0 Book Section %1 blath2009measurevalued %A Blath, Jochen %B Fractal Geometry and Stochastics IV %D 2009 %E Bandt, Christoph %E Zähle, Martina %E Mörters, Peter %I Birkhäuser Basel %K Fleming_Viot Levy_walk Neveu_process coalescent_theory lambda_coalescent lookdown_process measure_valued_process review superprocesses spatial_coalescent %P 175-196 %R 10.1007/978-3-0346-0030-9_6 %T Measure-valued Processes, Self-similarity and Flickering Random Measures %U http://dx.doi.org/10.1007/978-3-0346-0030-9_6 %V 61 %X In this article, we discuss two of the main prototypes of measure-valued processes, namely the classical Fleming-Viot and Dawson-Watanabe processes, and some of their recent generalizations. In particular, we show how the so-called lookdown construction of Donnelly and Kurtz can be used to reveal interesting structural and path-properties of the (generalized) processes in the case when the underlying motion and branching mechanisms satisfy certain self-similarity properties. As applications of the method, we first discuss the notion of a ‘flickering random measure’, and then conclude with remarks about properties of the support of general, and in particular Beta-, Fleming-Viot processes. %@ 978-3-0346-0029-3

@incollection{blath2009measurevalued, abstract = {In this article, we discuss two of the main prototypes of measure-valued processes, namely the classical Fleming-Viot and Dawson-Watanabe processes, and some of their recent generalizations. In particular, we show how the so-called lookdown construction of Donnelly and Kurtz can be used to reveal interesting structural and path-properties of the (generalized) processes in the case when the underlying motion and branching mechanisms satisfy certain self-similarity properties. As applications of the method, we first discuss the notion of a ‘flickering random measure’, and then conclude with remarks about properties of the support of general, and in particular Beta-, Fleming-Viot processes.}, added-at = {2014-05-27T19:59:53.000+0200}, author = {Blath, Jochen}, biburl = {https://www.bibsonomy.org/bibtex/21c41ca3488f6fae050d9d5a9e95a4aa9/peter.ralph}, booktitle = {Fractal Geometry and Stochastics IV}, description = {Flickering occurs when branching is heavy-tailed. Has a nice review of the field, including Fleming-Viot as a time-change of Dawson-Watanabe.}, doi = {10.1007/978-3-0346-0030-9_6}, editor = {Bandt, Christoph and Zähle, Martina and Mörters, Peter}, interhash = {5de8f6c86d142a0f2603b1f5c8f313ff}, intrahash = {1c41ca3488f6fae050d9d5a9e95a4aa9}, isbn = {978-3-0346-0029-3}, keywords = {Fleming_Viot Levy_walk Neveu_process coalescent_theory lambda_coalescent lookdown_process measure_valued_process review superprocesses spatial_coalescent}, language = {English}, pages = {175-196}, publisher = {Birkhäuser Basel}, series = {Progress in Probability}, timestamp = {2014-09-14T17:43:51.000+0200}, title = {Measure-valued Processes, Self-similarity and Flickering Random Measures}, url = {http://dx.doi.org/10.1007/978-3-0346-0030-9_6}, volume = 61, year = 2009 }