下村尚司の研究業績
定年後のWebサイトになります．何かありましたら，次のメールアドレスへ： tdi7523 <<atmark>> gmail.com
Welcome to Takashi Shimomura's Home Page!
Recent works:
Refinement of Bratteli--Vershik models, arXiv, This work was supported by JSPS KAKENHI Grant Number JP20K03643 .
Bratteli–Vershik models and graph covering models, Advances in Mathematics, Vol. 367 (2020), Article 107127, This work was supported by JSPS KAKENHI Grant Number 16K05185.
A simple approach to minimal substitution subshifts, Topology and its Applications, Vol. 260 (2019), pp.203-214, This work was supported by JSPS KAKENHI Grant Number 16K05185.
Rank 2 proximal Cantor systems are residually scrambled, Dynamical Systems, Vol. 33 (2018), pp.275-302, This work was supported by JSPS KAKENHI Grant Number 16K05185.
Finite-rank Bratteli--Vershik homeomorphisms are expansive, Proc. Amer. Math. Soc. Vol. 145 (2017), pp. 4353-4362, This work was supported by JSPS KAKENHI Grant Number 16K05185.
Topological rank does not increase by natural extension of Cantor minimals, Kyushu J. Math. Vol. 71 (2017), pp. 299–309, This work was supported by JSPS KAKENHI Grant Number 16K05185.
Zero-dimensional almost 1-1 extensions of odometers from graph coverings, Topology and its Applications, Vol. 209, 15 August 2016, pp. 63–90.
Combinatorial embedding of chain transitive zero-dimensional systems into chaos, Topology and its Applications, Vol. 204, 15 May 2016, pp. 230–239.
The construction of a completely scrambled system by graph covers, Proc. Amer. Math. Soc. 144 (2016), pp. 2109-2120. DOI: http://dx.doi.org/10.1090/proc/12963
Non-homeomorphic topological rank and expansiveness, Kyushu J. Math. Vol. 69 (2015), pp. 413-428, doi:10.2206/kyushujm.69.413.
Graph covers and ergodicity for zero-dimensional systems, Ergodic Theory and Dynamical Systems, April 2016, Vol. 36, Issue 02, pp. 608-631, doi : http://dx.doi.org/10.1017/etds.2014.72.
Special homeomorphisms and approximation for Cantor systems, Topology and its Applications Vol. 161, 1 January 2014, pp. 178– 195.
Aperiodic homeomorphisms approximate chain mixing endomorphisms on the Cantor set, January 2013, Tsukuba J. Math. Vol. 36, Number 2, pp.173–183.
A topological dynamical system on the Cantor set approximates its factors and its natural extension, November 2012, Topology and its Applications, Vol.159, Issue 14, pp.3137–3142.
Chain mixing endomorphisms are approximated by subshifts on the Cantor set, July 2011, Tsukuba J. Math. Vol.35 no.1 pp.67–77.
競争的資金獲得状況
Bratteli-Vershik 表現の新たな展開： 日本学術振興会:科研費： 基盤研究(C) 20K03643 2020-2023 （研究代表者）
組みあわせ論的零次元位相力学系の研究－Bratteli-Vershik系を超えて：日本学術振興会:科研費： 基盤研究(C) 16K05185 2016-2018 （研究代表者）
Links:
Researchmap : Japanese Official Website
＜アットマーク＞ ｇｍａｉｌ ． ｃｏｍ を tdi7523 の後に付して下さい．