Unveiling the significance of eigenvectors in diffusing non-Hermitian matrices by identifying the underlying Burgers dynamics
Following our recent letter [1], we study in detail an entry-wise diffusion of non-hermitian complex matrices. We obtain an exact partial differential equation (valid for any matrix size N and arbitrary initial conditions) for evolution of the averaged extended characteristic polynomial. The logarit...
| Những tác giả chính: | , , , , |
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| Định dạng: | Bài viết |
| Ngôn ngữ: | English |
| Được phát hành: |
Elsevier
2015-08-01
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| Loạt: | Nuclear Physics B |
| Truy cập trực tuyến: | http://www.sciencedirect.com/science/article/pii/S0550321315002047 |