129 citations · 192 across the 3 of their papers we have counts for
4 papers
Stability of nodal structures in graph eigenfunctions and its relation to the nodal domain count
Gregory Berkolaiko, Hillel Raz, Uzy Smilansky
The nodal domains of eigenvectors of the discrete Schrodinger operator on simple, finite and connected graphs are considered. Courant's well known nodal domain theorem applies in t…
On the connection between the number of nodal domains on quantum graphs and the stability of graph partitions
Ram Band, Gregory Berkolaiko, Hillel Raz +1
Courant theorem provides an upper bound for the number of nodal domains of eigenfunctions of a wide class of Laplacian-type operators. In particular, it holds for generic eigenfunc…
Lieb-Robinson bounds for classical anharmonic lattice systems
Hillel Raz, Robert Sims
We prove locality estimates, in the form of Lieb-Robinson bounds, for classical oscillator systems defined on a lattice. Our results hold for the harmonic system and a variety of a…
Lieb-Robinson Bounds for Harmonic and Anharmonic Lattice Systems
Bruno Nachtergaele, Hillel Raz, Benjamin Schlein +1
We prove Lieb-Robinson bounds for the dynamics of systems with an infinite dimensional Hilbert space and generated by unbounded Hamiltonians. In particular, we consider quantum har…