The Distribution of Lochs' variable and the transfer operator approach
이계선
129동 301호
0
5878
2025.08.24 15:21
| 구분 | 기타 |
|---|---|
| 일정 | 2025-12-04(목) 14:00~15:30 |
| 세미나실 | 129동 301호 |
| 강연자 | Hong Kwon (Ulsan National Institute of Science and Technology) |
| 담당교수 | 이계선 |
| 기타 | DASOM 교류 세미나 |
4 December 2025 (Thursday) 14:00 - 15:00 / 129-301
Hong Kwon (Ulsan National Institute of Science and Technology)
Title: The Distribution of Lochs' variable and the transfer operator approach
Abstract: In this talk, I will discuss the asymptotic distribution of the generalized Lochs variable $k_{\varepsilon}(x)$, which is defined as the length of first consecutive agreements of digits in the continued fraction expansions of $x$ and $x+\varepsilon$. We use spectral properties of a weighted transfer operator developed by Baladi and Vall'ee to provide a systematic dynamical proof of Gaussian limit law for $k_{\varepsilon}$. Our approach refines previous results of Faivre and others with an improved error term. This is a joint work with Hae-Sang Sun.
