arXiv subjects

Yuya Koike

Publications and source records attributed to Yuya Koike.

3 recordsLinked to original sources

arXiv2026

On $3$-dimensional locally standard $T$-pseudomanifolds

Locally standard $T$-pseudomanifolds were introduced by the authors in a previous work. They are topological stratified pseudomanifolds equipped with torus actions. Their equivariant homeomorphism types are classified by characteristic data under the homotopy equivalence condition. In this paper, we show that this condition can be removed when the dimension is at most three. We also characterize those of dimension at most three that are topological manifolds, in terms of their orbit spaces.

math.GT↗

arXiv2025

Classification of locally standard $T$-pseudomanifolds over topological stratified pseudomanifolds

We introduce the notion of a locally standard $T$-pseudomanifold, a class that generalizes both complete toric varieties and locally standard $T$-manifolds. The main goal of this paper is to show that locally standard $T$-pseudomanifolds over topological stratified pseudomanifolds satisfying certain conditions are completely classified, up to (weakly) equivariant homeomorphism, by their characteristic data. This result extends the classification of quasitoric manifolds by Davis-Januszkiewicz.

math.GT↗

arXiv2023

Universal scaling between wave speed and size enables nanoscale high-performance reservoir computing based on propagating spin-waves

Neuromorphic computing using spin waves is promising for high-speed nanoscale devices, but the realization of high performance has not yet been achieved. Here we show, using micromagnetic simulations and simplified theory with response functions, that spin-wave physical reservoir computing can achieve miniaturization down to nanoscales keeping high computational power comparable with other state-of-art systems. We also show the scaling of system sizes with the propagation speed of spin waves plays a key role to achieve high performance at nanoscales.

physics.app-ph↗