arXiv subjects

Kota Ujino

Publications and source records attributed to Kota Ujino.

2 recordsLinked to original sources

arXiv2023

Exact Hausdorff dimension of the spectral measure for the graph Laplacian on a sparse tree

The Hausdorff dimension of spectral measure for the graph Laplacian is shown exactly in terms of an intermittency function. The intermittency function can be estimated by using one-dimensional discrete Schrödinger operator method.

math.SP↗

arXiv2023

No eigenvectors embedded in the singular continuous spectrum of Schrödinger operators

It is known that the spectrum of Schrödinger operators with sparse potentials consists of singular continuous spectrum. We give a sufficient condition so that the edge of the singular continuous spectrum is not an eigenvalue and construct examples with singular continuous spectrum which have no eigenvalues and which have a single negative eigenvalue.

math.SP↗