佐賀大学理工学部
第179回応数談話会

日時
2005 年 2 月 9 日(水曜日)16:00〜17:00
講演者
Dr. Pedro Teran (Zaragoza(スペイン)大学)
題目
Aumann and Herer expectations: solution of an open problem in stochastic geometry
ABSTRACT
Among the several existing definitions of the expectation (or integral) of a random set, there are those given by Aumann in the 60's and by Herer in the 90's. While the former needs a Banach space structure, the latter makes sense in a metric space. It is known that Aumann's expectation is always a subset of Herer's, and that the converse holds in Hilbert spaces.
The problem to prove whether both expectations are the same generally, or otherwise to characterize the Banach spaces where they actually are, is thus significant and was posed by Prof. Ilya Molchanov in 1996.
I will answer that question and explain some related results. For the sake of suspense, the solution is not given here.
場所
数理科学科大セミナー室(理工学部6号館(DC棟)5階501号室)
連絡先
〒840-8502 佐賀市本庄町1 佐賀大学理工学部数理科学科
小倉 幸雄 [ogura@]
TEL 0952-28-8522  FAX 0952-28-8501

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