Regularity of Schrodinger's functional equation in the weak topology and moment measures
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- Mikami Toshio
- Department of Mathematics Tsuda University
書誌事項
- タイトル別名
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- Regularity of Schrödinger's functional equation in the weak topology and moment measures
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<p>We study the continuity and the measurability of the solution to Schrödinger's functional equation, with respect to space, kernel and marginals, provided the space of all Borel probability measures is endowed with the weak topology. This is a continuation of our previous result where the space of all Borel probability measures was endowed with the strong topology. As an application, we construct a convex function of which the moment measure is a given probability measure, by the zero noise limit of a class of stochastic optimal transportation problems.</p>
収録刊行物
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- Journal of the Mathematical Society of Japan
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Journal of the Mathematical Society of Japan 73 (1), 99-123, 2021
一般社団法人 日本数学会
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詳細情報
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- CRID
- 1390568456354670080
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- NII論文ID
- 130007973744
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- NII書誌ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- NDL書誌ID
- 031231316
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- NDL
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- 使用不可