Research theme for competitive and other funds (6)：
2022 - 2025 数論的手法により構成されるフラクタル図形の幾何学的性質について
2017 - 2022 Topology of configuration space model for viewing flow lines of flexible molecules
2012 - 2016 Recent progress in ergodic theory of number theoretic algorithms
2011 - 2016 The construction of approximate grids for quasicrystals using control points
2009 - 2011 An ergodic study of algorithms
2007 - 2008 Characterization related to Rauzy fractals of substitutions
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Papers (14)：
Hiromi Ei, Hitoshi Nakada, Rie Natsui. On the ergodic theory of maps associated with the nearest integer complex continued fractions over imaginary quadratic fields. Discrete and Continuous Dynamical Systems. 2023. 43. 11. 3883-3924
Hiromi Ei, Hitoshi Nakada, Rie Natsui. On the existence of the Legendre constants for some complex continued fraction expansions over imaginary quadratic fields. Journal of Number Theory. 2022. 238. 106-132
江居 宏美. On folding of planar regular pentagon rings. Nihonkai Mathematical Journal. 2020. 31. 45-58
Hiromi Ei, Shunji Ito, Hitoshi Nakada, Rie Natsui. On the construction of the natural extension of the Hurwitz complex continued fraction map. MONATSHEFTE FUR MATHEMATIK. 2019. 188. 1. 37-86
Hiromi Ei, Florian Luca, Yohei Tachiya. LINEAR INDEPENDENCE RESULTS FOR THE RECIPROCAL SUMS OF FIBONACCI NUMBERS ASSOCIATED WITH DIRICHLET CHARACTERS. STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA. 2017. 54. 1. 61-81
Ei, Hiromi, Rao, Hui. Report of computer experiments on the Rauzy fractals (Algebraic system, Logic, Language and Related Areas in Computer Sciences II). RIMS Kokyuroku. 2021. 2188. 87-95
江居宏美, 林浩子, 小松和志. Origami spring having a central hole. 高知大学理工学部紀要(Web). 2019. 2
Hiromi Ei. Rauzy fractals induced from automorphisms on the free group of rank 2 related to continued fractions. RIMS Kokyuroku Bessatsu. 2012. B34. 69-80
