On the Fourier coefficients of critical Gaussian multiplicative chaos
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912965376081920 |
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| author | Arguin, Louis-Pierre Hamdan, Jad |
| author_facet | Arguin, Louis-Pierre Hamdan, Jad |
| contents | We continue the study of the Fourier coefficients of Gaussian multiplicative chaos (GMC) recently initiated by Garban and Vargas. We show that if $\{c_n\}_{n\geq 1}$ are the Fourier coefficients of critical GMC on the unit interval, then $(\log n)^αc_n$ converges to zero in probability as $n$ tends to infinity for any $α<1/4$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_24424 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Fourier coefficients of critical Gaussian multiplicative chaos Arguin, Louis-Pierre Hamdan, Jad Probability Mathematical Physics We continue the study of the Fourier coefficients of Gaussian multiplicative chaos (GMC) recently initiated by Garban and Vargas. We show that if $\{c_n\}_{n\geq 1}$ are the Fourier coefficients of critical GMC on the unit interval, then $(\log n)^αc_n$ converges to zero in probability as $n$ tends to infinity for any $α<1/4$. |
| title | On the Fourier coefficients of critical Gaussian multiplicative chaos |
| topic | Probability Mathematical Physics |
| url | https://arxiv.org/abs/2510.24424 |