Publications, Preprints & Talks

Publications and Preprints

  1. T. Usui, Structure of 2-cascade decomposition for subshifts of finite type and its application to Hénon maps (Submitted).

Other Publications

  1. T. Usui, R. Suzuki, K. Koizumi, and M. Ohtsuki, A Study of Evolutionary Algorithms for Solving Tangram, IPSJ SIG Technical Report, 2022-GI-47(4) (2022), 1–8.

    Abstract

    Tangram is a puzzle that duplicate a shape called silhouette with using other shapes called piece. Solving tangram with simple algorithm is infeasible because combination of each piece position and angle is enormously. Therefore, we made algorithms with evolutionary algorithms for solving tangram. As a result, the algorithms were able to solve simple tangrams that is using 4 pieces. By further research, algorithms solving difficult tangrams will come in front of us.

Talks

  1. Structure of decomposition by 2-cascades for subshifts of finite type and its relation to Hénon maps, 数論・力学系　若手研究集会, Kyushu University, Feb. 2026. Contributed talk.

  2. Structure of decomposition by 2-cascades for subshifts of finite type and its relation to Hénon maps, 2025年度 冬の力学系研究集会, Nihon University Seminar House in Karuizawa (日本大学軽井沢研修所), Jan. 2026. Contributed talk.

  3. Invariants in Symbolic Dynamics, The PNU – Kyushu Young Researchers Workshop on Mathematics for Industry, Kyushu University, Jan. 2026. Contributed talk.

  4. A Study of Evolutionary Algorithms for Solving Tangram, 47th Meeting of the IPSJ Special Interest Group on Game Informatics (GI-47), online, Mar. 2022. Contributed talk.