Proceedings of the American Mathematical Society 141(5) 1839-1847 2013年 [査読有り]
We show that any element of the identity component Homeo(Sn)0 of the group of homeomorphisms of the n-dimensional sphere Sn can be written as one commutator. We also show that any element of the group Homeo(μn) of homeomorphisms of the n-dimension...
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 86(2) 1-21918 2012年8月 [査読有り]
We all use path routing everyday as we take shortcuts to avoid traffic jams, or by using faster traffic means. Previous models of traffic flow of RNA polymerase II (RNAPII) during transcription, however, were restricted to one dimension along the ...
We show that the identity component Diff rM 2m0 of the group of C r diffeomorphisms of a compact .2m/-dimensional manifold M 2m (1≤ r ≤ 1, r ≠ 2m C 1) is uniformly perfect for 2m ≥ 6, i.e., any element of Diffr.M2m/0 can be written as a product of...
We show the uniform simplicity of the identity component Diff(r)(M(n))(0) of the group of C(r) diffeomorphisms Diff(r)(M(n)) (1 <= r <= infinity, r not equal n + 1) of the compact connected n-dimensional manifold M(n) with handle decomposition wit...
Annales Scientifiques de l'Ecole Normale Superieure 42(4) 601-651 2009年 [査読有り]
The group of real analytic diffeomorphisms of a real analytic manifold is a rich group. It is dense in the group of smooth diffeomorphisms. Herman showed that for the n-dimensional torus, its identity component is a simple group. For U(1) fibered ...
We study the eigenvalue problem for some special class of anti-triangular
matrices. Though the eigenvalue problem is quite classical, as far as we know,
almost nothing is known about properties of eigenvalues for anti-triangular
matrices. In this ...
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