161 citations
- National Astronomical Observatory of JapanJP12 papers
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Showing 2023Show all
3 papers · 1 filter
math.AP2023★ 1 cited
Variational stabilization of degenerate p-elasticae
Tatsuya Miura, Kensuke Yoshizawa
A new stabilization phenomenon induced by degenerate diffusion is discovered in the context of pinned planar -elasticae. It was known that in the non-degenerate regime $p\in(1,2…
math.SG2023
No -recurrence of iterations of symplectomorphisms
Yoshihiro Sugimoto
In this article, we study the behavior of iterations of symplectomorphisms and Hamiltonian diffeomorphisms on symplectic manifolds. We prove that symplectomorphisms and Hamiltonian…
math.DG2023★ 4 cited
General rigidity principles for stable and minimal elastic curves
Tatsuya Miura, Kensuke Yoshizawa
For a wide class of curvature energy functionals defined for planar curves under the fixed-length constraint, we obtain optimal necessary conditions for global and local minimizers…