Seul Bee LEE
Postdoctoral Fellow
Center for Geometry and Physics,
Institute for Basic Science (IBS),
Pohang 37673, South Korea
E-mail: seulbee.lee@ibs.re.kr
Research Interest
Dynamics, Number Theory and Geometric group theory
I am interested in the ergodic theory of the dynamical systems that comes from the various versions of the continued fractions, and the connection between the continued fraction and the geodesics on the hyperbolic spaces. I am also studying arithmetic, statistical and combinatorial properties related to continued fractions.
Preprint
Diophantine approximation by rational numbers of certain parity types (with Dong Han Kim and Lingmin Liao), preprint, arxiv:2403.12341
The Brjuno functions of the by-excess, odd, even and odd-odd continued fractions and their regularity properties (with Stefano Marmi), preprint, arXiv:2111.13553
Publications
[6] Regularity properties for k-Brjuno and Wilton functions (with Stefano Marmi, Izabela Petrykiewicz and Tanja Schindler), Aequ. Math., Vol. 98, pp. 13-85 (30 June 2023) https://doi.org/10.1007/s00010-023-00967-w arXiv:2106.07298
[5] A convergence criterion for the unstable manifolds of the MacKay approximate renormalisation (with Stefano Marmi and Tanja I. Schindler), Phys. D: Nonlinear Phenom., Vol. 435, Paper No. 133300 (July 2022), https://doi.org/10.1016/j.physd.2022.133300 arXiv:2111.10807
[4] Odd-odd continued fraction algorithm (with Dong Han Kim and Lingmin Liao), Monatsh. Math., Vol. 198, pp. 323-344 (June 2022), https://doi.org/10.1007/s00605-022-01704-2 arXiv:2002.06310
[3] On the Lévy constants of Sturmian continued fractions (with Yann Bugeaud and Dong Han Kim), Pacific J. Math. Vol. 315, No. 1, pp. 1-25 (November 2021), https://doi.org/10.2140/pjm.2021.315.1 arXiv:2004.09092
[2] Quasi-Sturmian colorings on regular trees (with Dong Han Kim, Seonhee Lim, Deokwon Sim), Ergod. Th. & Dynam. Sys. Vol. 40, No. 12, pp. 3403-3419 (December 2020), https://doi.org/10.1017/etds.2019.53 arXiv:1808.05400
[1] Colorings of trees with linear, intermediate and exponential subball complexity (with Seonhee Lim), J. Korean Math. Soc. Vol. 52, No. 6, pp. 1123-1137 (November 2015), https://doi.org/10.4134/JKMS.2015.52.6.1123
Education
Ph.D in Mathematics, September 2013 - August 2014 & March 2017 - August 2020, Seoul National University, Advisor: Seonhee Lim,
Thesis Title: Generalization of continued fraction: its number-theoretical, geometrical, and combinatorial properties
M.S in Mathematics, March 2011 - August 2013, Seoul National University, Advisor: Seonhee Lim,
Thesis Title: Colorings of regular trees with linear subword complexity: First examples and properties
B.S in Mathematics, March 2007 - February 2011, University Of Seoul
Academic Appointments
Sep. 2022 - present, Postdoctoral Fellow, Center for Geometry and Physics, Institute for Basic Science, Pohang, South Korea
Oct. 2020 - Aug. 2022, Postdoctoral Fellow, Centro di Ricerca Matematica Ennio de Giorgi, Scuola Normale Superiore, Pisa, Italy
Sep. 2020 - Oct. 2020, Postdoctoral Fellow, Research Institute of Mathematics, Seoul National University, Seoul, South Korea
Award
2020 Spring semester Best Doctoral Dissertation Award, College of Natural Sciences, Seoul National University, August 2020.