Research Papers in English (with peer review) (last updated: 28th/November/2020)


・(with Tetsuo Yokoyama) Complete Transition Diagrams of Generic Hamiltonian Flows with a Few Heteroclinic Orbits, Discrete Mathematics, Algorithms and Applications, First Online: September 2020 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.
・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.

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