Local limit theorems for multiplicative free convolutions
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2014/11/01
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Journal
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Indian UGC (journal)
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Refrences25
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Citations8
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Michael Anshelevich
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Jiun-Chau Wang
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Ping Zhong ORCID (unauthenticated)
Cite
Anshelevich, Michael, et al. “Local Limit Theorems for Multiplicative Free Convolutions”. Journal of Functional Analysis, vol. 267, no. 9, 2014, pp. 3469-9, https://doi.org/10.1016/j.jfa.2014.08.015.
Anshelevich, M., Wang, J.-C., & Zhong, P. (2014). Local limit theorems for multiplicative free convolutions. Journal of Functional Analysis, 267(9), 3469-3499. https://doi.org/10.1016/j.jfa.2014.08.015
Anshelevich, Michael, Jiun-Chau Wang, and Ping Zhong. “Local Limit Theorems for Multiplicative Free Convolutions”. Journal of Functional Analysis 267, no. 9 (2014): 3469-99. https://doi.org/10.1016/j.jfa.2014.08.015.
Anshelevich M, Wang JC, Zhong P. Local limit theorems for multiplicative free convolutions. Journal of Functional Analysis. 2014;267(9):3469-9.
Journal Category
Science
Mathematics
Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Free Brownian motion and free convolution semigroups: multiplicative case | Pacific Journal of Mathematics |
| 3 | 2014 |
| Free convolution operators and free Hall transform | Journal of Functional Analysis |
| 16 | 2013 |
| An inequality for the distance between densities of free convolutions | The Annals of Probability |
| 2013 | |
| Local limit theorems in free probability theory | The Annals of Probability |
| 2010 | |
| Limit theorems for free multiplicative convolutions | Transactions of the American Mathematical Society |
| 2008 |
Refrences Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 17 |
| Science: Mathematics: Probabilities. Mathematical statistics | 5 |
The category
Science: Mathematics 17
is the most frequently represented among the references in this article. It primarily includes studies from The Annals of Probability and Pacific Journal of Mathematics. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Cauchy-Stieltjes Kernel Families and Free Multiplicative Convolution | Communications in Mathematics and Statistics |
| 6 | 2023 |
Superconvergence and regularity of densities in free probability | Transactions of the American Mathematical Society |
| 2023 | |
Superconvergence in free probability limit theorems for arbitrary triangular arrays | Proceedings of the American Mathematical Society |
| 1 | 2022 |
| Limits of Radial Multiple SLE and a Burgers–Loewner Differential Equation | Journal of Theoretical Probability |
| 2 | 2020 |
| Superconvergence to freely infinitely divisible distributions | Pacific Journal of Mathematics |
| 5 | 2018 |
Citations Analysis
The category
Science: Mathematics 8
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled The Exponential Map in Non-commutative Probability and was published in 2016. The most recent citation comes from a 2023 study titled Cauchy-Stieltjes Kernel Families and Free Multiplicative Convolution. This article reached its peak citation in 2023, with 2 citations. It has been cited in 8 different journals. Among related journals, the Communications in Mathematics and Statistics cited this research the most, with 1 citations. The chart below illustrates the annual citation trends for this article.