Absolute Continuity of Heat Kernel Measure with Pinned Wiener Measure on Loop Groups
نویسندگان
چکیده
منابع مشابه
Heat Kernel Measure on Loop and Path Groups
1.1. Background The existence and properties of Brownian motion on L(K), the pinned loop group of a compact Lie group K, have been studied in a number of papers starting with Refs. 20, 21 and then followed by Refs. 2, 3, 6, 8, 9, 12, 14, 16, 24. (This is only a partial list.) Similar results have been obtained on W(K), the pinned path group, in Ref. 11. Of fundamental importance in these constr...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 2001
ISSN: 0091-1798
DOI: 10.1214/aop/1008956690