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Contribution Details
| Type | Journal Article |
| Scope | Discipline-based scholarship |
| Title | Mod-φ Convergence |
| Organization Unit | |
| Authors |
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| Item Subtype | Original Work |
| Refereed | Yes |
| Status | Published in final form |
| Language |
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| Journal Title | International Mathematics Research Notices |
| Geographical Reach | international |
| Number | 11 |
| Page Range | 3445 - 3485 |
| Date | 2015 |
| Abstract Text | Using Fourier analysis, we study local limit theorems in weak-convergence problems. Among many applications, we discuss random matrix theory, some probabilistic models in number theory, the winding number of complex Brownian motion and the classical situation of the central limit theorem, and a conjecture concerning the distribution of values of the Riemann zeta function on the critical line. |
| Related URLs | |
| Digital Object Identifier | 10.1093/imrn/rnu035 |
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