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The Fractal Character of Localizable Measure‐Valued Processes. I — Random Measures on Product Spaces
Author(s) -
Zähle U.
Publication year - 1988
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19881360110
Subject(s) - mathematics , infinitesimal , product (mathematics) , product measure , fractal , character (mathematics) , extension (predicate logic) , measure (data warehouse) , path (computing) , construct (python library) , tree (set theory) , pure mathematics , product topology , discrete mathematics , combinatorics , mathematical analysis , geometry , computer science , database , programming language
Summary. In part II the evolution of large populations of infinitesimal particles is studied, in which one can follow the path of any particle surviving up to time t. To construct the distribution of the totality of these paths — the so‐called backward tree —, we need a general extension theorem for random measures. The present part gives such a theorem under very natural conditions, and its variante for product spaces.