書誌事項
- タイトル別名
-
- Limit theorems for free Levy processes
この論文をさがす
説明
We consider different limit theorems for additive and multiplicative free Levy processes. The main results are concerned with positive and unitary multiplicative free Levy processes at small times, showing convergence to log free stable laws for many examples. The additive case is much easier, and we establish the convergence at small or large times to free stable laws. During the investigation we found out that a log free stable law with index 1 coincides with the Dykema-Haagerup distribution. We also consider limit theorems for positive multiplicative Boolean Levy processes at small times, obtaining log Boolean stable laws in the limit.
収録刊行物
-
- Electronic journal of probability
-
Electronic journal of probability 23 101-, 2019-04-17
University of Washington
- Tweet
キーワード
詳細情報 詳細情報について
-
- CRID
- 1050564289012728704
-
- NII論文ID
- 120006606589
-
- HANDLE
- 2115/73687
-
- ISSN
- 10836489
-
- 本文言語コード
- en
-
- 資料種別
- journal article
-
- データソース種別
-
- IRDB
- Crossref
- CiNii Articles
- KAKEN
- OpenAIRE
