activity
20112020
most citedErgodic Jacobi matrices and conformal maps

2 citations · 4 across the 5 of their papers we have counts for

collaborators

6 papers

math.PR2020★ 1 cited

Possible probability and irreducibility of balanced non-transitive dice

Injo Hur, Yeansu Kim

We construct irreducible balanced non-transitive sets of -sided dice for any positive integer , which was raised in \cite[Question 5.2]{SS17}. One main tool of the constructi…

math.SP2018

Restrictions on the existence of a canonical system flow hierarchy

Injo Hur, Darren C. Ong

The KdV hierarchy is a family of evolutions on a Schrödinger operator that preserves its spectrum. Canonical systems are a generalization of Schrödinger operators, that nevertheles…

math.SP2017

The -functions of discrete Schrödinger operators are sparse compared to those for Jacobi operators

Injo Hur

We explore the sparsity of Weyl-Titchmarsh -functions of discrete Schrödinger operators. Due to this, the set of their -functions cannot be dense on the set of those for Jaco…

math.SP2015★ 1 cited

Density of Schrödinger Weyl-Titchmarsh m functions on Herglotz functions

Injo Hur

We show that the Herglotz functions that arise as Weyl-Titchmarsh functions of one-dimensional Schrödinger operators are dense in the space of all Herglotz functions with respe…

math.SP2014

The Marchenko representation of reflectionless Jacobi and Schrodinger operators

Injo Hur, Matt McBride, Christian Remling

We consider Jacobi matrices and Schrodinger operators that are reflectionless on an interval. We give a systematic development of a certain parametrization of this class, in terms…

math.SP2011★ 2 cited

Ergodic Jacobi matrices and conformal maps

Injo Hur, Christian Remling

We study structural properties of the Lyapunov exponent and the density of states for ergodic (or just invariant) Jacobi matrices in a general framework. In this analysis,…