Milivoje Lukić

activity

20102017

most citedQuantum Dynamics of Periodic and Limit-Periodic Jacobi and Block Jacobi Matrices with Applications to Some Quantum Many Body Problems

48 citations · 145 across the 12 of their papers we have counts for

collaborators

Showing 2014 · math.SPShow all

4 papers · 2 filters

math.SP2014

A Multi-Scale Analysis Scheme on Abelian Groups with an Application to Operators Dual to Hill's Equation

David Damanik, Michael Goldstein, Milivoje Lukic

We present an abstract multiscale analysis scheme for matrix functions $(H_{ε} (m, n))_{m, n \in T}$ , where $T$ is an Abelian group equipped with a dist…

math.SP2014

Characterizations of Uniform Hyperbolicity and Spectra of CMV Matrices

David Damanik, Jake Fillman, Milivoje Lukic +1

We provide an elementary proof of the equivalence of various notions of uniform hyperbolicity for a class of $GL (2, C)$ cocycles and establish a Johnson-type theor…

math.SP2014★ 13 cited

The Isospectral Torus of Quasi-Periodic Schrödinger Operators via Periodic Approximations

David Damanik, Michael Goldstein, Milivoje Lukic

We study the quasi-periodic Schrödinger operator $- ψ " (x) + V (x) ψ (x) = E ψ (x), x \in R$ in the regime of "small" $V(x) = \sum_{m\in\mathbb{Z}^ν}c(m)\exp (2πi mω…

math.SP2014

The Spectrum of a Schrödinger Operator With Small Quasi-Periodic Potential is Homogeneous

David Damanik, Michael Goldstein, Milivoje Lukic

We consider the quasi-periodic Schrödinger operator $[H ψ] (x) = - ψ " (x) + V (x) ψ (x)$ in $L^{2} (R)$ , where the potential is given by $$ V(x) = \sum_{m \in \mathbb{Z}^ν\set…