dc.citation.conferencePlace |
GE |
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dc.citation.title |
Transfer operators in number theory and quantum chaos |
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dc.contributor.author |
Sun, Hae-sang |
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dc.date.accessioned |
2024-01-31T23:08:06Z |
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dc.date.available |
2024-01-31T23:08:06Z |
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dc.date.created |
2020-03-31 |
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dc.date.issued |
2020-02-06 |
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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. |
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dc.identifier.bibliographicCitation |
Transfer operators in number theory and quantum chaos |
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dc.identifier.uri |
https://scholarworks.unist.ac.kr/handle/201301/78617 |
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dc.publisher |
Hausdorff Research Institute for Mathematics |
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dc.title |
Modular partition vectors over an interval |
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dc.type |
Conference Paper |
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dc.date.conferenceDate |
2020-02-03 |
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