| Research Papers in English (with peer review) （last updated: 17th/November/2022） |
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・Flows with time-reversal symmetric limit sets on surfaces, Proceedings of the American Mathematical Society 151, no. 01 (2023) pp. 161-176. ・ (with T. Sakajo) Discrete representations of orbit structures of flows for topological data analysis, (2022) 2250143. ・ (with V. Kibkalo) Topological characterizations of Morse-Smale flows on surfaces and generic non-Morse-Smale flows, Discrete and Continuous Dynamical Systems, 2022, 42(10), pp. 4787–4822. ・ Refinements of topological invariants of flows, Discrete and Continuous Dynamical Systems, 2022, 42(5), pp. 2295–2331. ・ (with A. Sannami) Topological bifurcation structure of one-parameter families of C1 unimodal maps, Nonlinearity, 34 (2021) pp. 7991–8016. ・(with Tetsuo Yokoyama) Complete Transition Diagrams of Generic Hamiltonian Flows with a Few Heteroclinic Orbits, Discrete Mathematics, Algorithms and Applications, 13, no. 02 (2021) pdf ・(with Y. Nakano) Existence and Non-existence of Length Averages for Foliations, Communications in Mathematical Physics, 254 (2019) pp. 1-17. ・Properness of foliations, Topology and its Applications, 254 (2019) pp. 171-175. ・(with T. Sakajo) Tree representations of streamline topologies of structurally stable 2D incompressible flows, IMA Journal of Applied Mathematics, Volume 83, Issue 3 (2018), pp. 380-411. ・(with Dawei Xu, Jinfeng Huang, Yuta Nakane, Takashi Horiyama, Ryuhei Uehara) Rep-cubes: Dissection of a Cube into Nets, IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences,issue 9 (2018), pp. 1420--1430. ・Genericity for non-wandering surface flows, Journal of Dynamical and Control Systems, 23 no. 2 (2017) pp. 197--212. ・ A topological characterization for non-wandering surface flows, Proceedings of the American Mathematical Society, 144 (2016), pp. 315–323. ・ (with T. Sakajo) Transitions between streamline topologies of structurally stable Hamiltonian flows in multiply connected domains, Physica D, 307 (2015) pp. 22–41. ・ (with T. Sakajo, Y. Sawamura) Unique encoding for streamline topologies of incompressible and inviscid flows in multiply connected domains, Fluid Dynamics Research, 46 no. 3 (2014) 031411. ・Recurrence, almost periodicity and orbit closure relation for flows and foliations, Topology and its Applications, 160 (2013) pp. 2196-2206. ・R-closed homeomorphisms on surfaces, Topology and its Applications, 160 (2013) pp. 1870-1875. ・Recurrence, almost periodicity and orbit closure relation for flows and foliations, Topology and its Applications, 15 (2013) no. 2. pp. 287-294. ・On the relation between completeness and H-closedness of pospaces without infinite antichains, Algebra and Discrete Mathematics, 15 (2013) no. 2. pp. 287-294. ・(with T. Sakajo) Word representation of streamline topology for structurally stable vortex flows in multiply connected domains, Proceedings of the Royal Society of London. Series A., 8 February 2013 469 no. 2150 20120558. ・Minimal sets of R-closed surface homeomorphisms, Comptes Rendus Mathematique. Academie des Sciences. Paris, Ser.I, 350 (2012) pp. 1051-1053. ・Codimension one minimal foliations whose leaves have fundamental groups with the same polynomial growth, Comptes Rendus Mathematique. Academie des Sciences. Paris, Ser.I, 350 (2012) 285-287. ・On some classes of spectral posets, Tsukuba journal of mathematics, 34 (2) pp. 213-219 (2010). ・Fixed points of certain Anosov maps on Riemannian manifolds, Ergodic Theory and Dynamical Systems, 30 (2010) pp. 1261-1270. ・A solution to a spectral poset problem of Lewis and Ohm, Topology and its Applications, 156 (2009) pp. 2220-2223. ・Codimension one minimal foliations and the higher homotopy groups of leaves, Comptes Rendus Mathematique. Academie des Sciences. Paris, Ser.I, 347 (2009) pp. 655-658. ・A poset with the spectral Scott topology is a quasialgebraic domain, Order, 26 (4) (2009) pp. 331-335. ・A counterexample for some problem for de Groot dual iterations, Topology and its Applications, 156 (2009) pp. 2224-2225. ・(with Testuo. Yokoyama) Functoriality in Reversible Circuits (work in progress), Preliminary Proceedings of Reversible Computation (RC 2009)} York, UK, March 22, 2009, pp. 68-72. ・(with T. Tsuboi) Codimension one minimal foliations and the fundamental groups of leaves, Annales de l'institut Fourier, 58 (2) (2008) pp. 723-731. |