Stochastic differential equations for infinite particle systems of jump type with long range interactions
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- Esaki Syota
- Department of Applied Mathematics, Fukuoka University
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- Tanemura Hideki
- Department of Mathematics, Keio University
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抄録
<p>Infinite-dimensional stochastic differential equations (ISDEs) describing systems with an infinite number of particles are considered. Each particle undergoes a Lévy process, and the interaction between particles is determined by the long-range interaction potential. The potential is of Ruelle's class or logarithmic. We discuss the existence and uniqueness of strong solutions of the ISDEs.</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 76 (1), 283-336, 2024
一般社団法人 日本数学会
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詳細情報 詳細情報について
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- CRID
- 1390861869684483456
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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
- 033292441
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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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- 抄録ライセンスフラグ
- 使用不可