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- Sun, Hae-sang
- Zeta function and Arithematic Lab.
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| DC Field | Value | Language |
|---|---|---|
| dc.citation.conferencePlace | GE | - |
| dc.citation.title | Transfer operators in number theory and quantum chaos | - |
| dc.contributor.author | Sun, Hae-sang | - |
| dc.date.accessioned | 2024-01-31T23:08:06Z | - |
| dc.date.available | 2024-01-31T23:08:06Z | - |
| dc.date.created | 2020-03-31 | - |
| dc.date.issued | 2020-02-06 | - |
| dc.description.abstract | Modular partition vector is a generalization of the length of continued fraction to a nontrivial congruence subgroup. It was shown that its distribution over the unit interval is asymptotically Gaussian. In the talk, I will discuss the distribution over a sub-interval. A main ingredient is the introduction of an interval operator that is a variant of a weighted transfer operator on the space of continuously differentiable functions on the unit interval. I will discuss one consequence towards a classical problem, namely the distribution of modular inverses. This is joint work with Jungwon Lee. | - |
| dc.identifier.bibliographicCitation | Transfer operators in number theory and quantum chaos | - |
| dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/78617 | - |
| dc.publisher | Hausdorff Research Institute for Mathematics | - |
| dc.title | Modular partition vectors over an interval | - |
| dc.type | Conference Paper | - |
| dc.date.conferenceDate | 2020-02-03 | - |
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