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Free Probability for Pairs of Faces IV: Bi-free Extremes in the Plane
| Content Provider | Semantic Scholar |
|---|---|
| Author | Voiculescu, D. |
| Copyright Year | 2015 |
| Abstract | We compute the bi-free max-convolution which is the operation on bivariate distribution functions corresponding to the max-operation with respect to the spectral order on bi-free bipartite two-faced pairs of Hermitian non-commutative random variables. With the corresponding definitions of bi-free max-stable and max-infinitely divisible laws, their determination becomes in this way a classical analysis question. |
| Starting Page | 384 |
| Ending Page | 394 |
| Page Count | 11 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/s10959-015-0635-7 |
| Alternate Webpage(s) | https://arxiv.org/pdf/1505.05020v3.pdf |
| Alternate Webpage(s) | https://doi.org/10.1007/s10959-015-0635-7 |
| Volume Number | 30 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |