9 papers
Thermal Concentration and Poisson-Dirichlet Edge Statistics for Random-Lattice Gibbs Ensembles
Masahiro Kaminaga
We study Gibbs measures on high-dimensional Haar-random unimodular lattices, where the energy of a lattice vector is its squared Euclidean norm. The random lattice is viewed as que…
Black-Hole Echo Resonance Spectra and Source Dependence in a Controlled Transfer-Function Model
Masahiro Kaminaga
Echo models phenomenologically encode possible near-horizon structure by replacing the purely ingoing horizon-side condition with an effective reflecting inner boundary near the wo…
Strong-disorder expansion of the root-averaged density of states for the Anderson model on the Bethe lattice
Masahiro Kaminaga
We study the root-averaged density of states for the Anderson model on the Bethe lattice in the strong-disorder regime. Here the density of states means the root-averaged spectral…
Determinant Formulas for Scattering Matrices of Schrödinger Operators with Finitely Many Concentric -Shells
Masahiro Kaminaga
We study stationary scattering for Schrödinger operators in with finitely many concentric --shell interactions of constant real strengths. Starting from the self…
Schrödinger operators with concentric --shell interactions
Masahiro Kaminaga
We study Schrödinger operators on with finitely many concentric spherical -shell interactions. The operators are defined by the quadratic form method and are des…
A Transmission Framework for Stark Operators with Interactions on a Compact Lipschitz Interface
Masahiro Kaminaga
We study an elliptic transmission problem associated with a Stark operator and a interaction on a compact Lipschitz interface in . The background differential exp…