46 citations · 180 across the 24 of their papers we have counts for
28 papers
Resonances at the Threshold for Pauli Operators in Dimension Two
Jonathan Breuer, Hynek Kovařík
It is well-known that, due to the interaction between the spin and the magnetic field, the two-dimensional Pauli operator has an eigenvalue at the threshold of its essential sp…
Periodic Boundary Conditions for Periodic Jacobi Matrices on Trees
Nir Avni, Jonathan Breuer, Gil Kalai +1
We consider matrices on infinite trees which are universal covers of Jacobi matrices on finite graphs. We are interested in the question of the existence of sequences of finite cov…
Spectral fluctuations for Schrödinger operators with a random decaying potential
Jonathan Breuer, Yoel Grinshpon, Moshe White
We study fluctuations of polynomial linear statistics for discrete Schrödinger operators with a random decaying potential. We describe a decomposition of the space of polynomials i…
Periodic Jacobi Matrices on Trees
Nir Avni, Jonathan Breuer, Barry Simon
We begin the systematic study of the spectral theory of periodic Jacobi matrices on trees including a formal definition. The most significant result that appears here for the first…
On the spacing of zeros of paraorthogonal polynomials for singular measures
Jonathan Breuer, Eyal Seelig
We prove a lower bound on the spacing of zeros of paraorthogonal polynomials on the unit circle, based on continuity of the underlying measure as measured by Hausdorff dimensions.…
On the Decomposition of the Laplacian on Metric Graphs
Jonathan Breuer, Netanel Levi
We study the Laplacian on family preserving metric graphs. These are graphs that have a certain symmetry that, as we show, allows for a decomposition into a direct sum of one-dimen…