Jonathan Breuer

activity

20062023

most citedSingular Continuous Spectrum for the Laplacian on Certain Sparse Trees

46 citations · 180 across the 24 of their papers we have counts for

collaborators

Showing 2008Show all

2 papers · 1 filter

math.SP2008

The Nevai Condition

Jonathan Breuer, Yoram Last, Barry Simon

We study Nevai's condition that for orthogonal polynomials on the real line, $K_{n} (x, x_{0})^{2} K_{n} (x_{0}, x_{0})^{- 1} d ρ (x) \to δ_{x_{0}}$ where $K_{n}$ is the CD kernel. We prove that it holds f…

math.SP2008★ 19 cited

Singular spectrum for radial trees

Jonathan Breuer, Rupert L. Frank

We prove several results showing that absolutely continuous spectrum for the Laplacian on radial trees is a rare event. In particular, we show that metric trees with unbounded edge…