254 citations · 368 across the 21 of their papers we have counts for
21 papers
A Note on Extended States on the Bethe Lattice
Vojkan Jaksic, Yoram Last, Simone Warzel
We give a new proof of the existence of absolutely continuous spectrum for the weakly disordered Anderson model on the Bethe lattice. The argument follows a general cyclicity crite…
On the abominable properties of the almost Mathieu operator with well approximated frequencies
Artur Avila, Yoram Last, Mira Shamis +1
We show that some spectral properties of the almost Mathieu operator with frequency well approximated by rationals can be as poor as at all possible in the class of all one-dimensi…
bounded variation and absolutely continuous spectrum of Jacobi matrices
Yoram Last, Milivoje Lukic
We disprove a conjecture of Breuer-Last-Simon concerning the absolutely continuous spectrum of Jacobi matrices with coefficients that obey an bounded variation condition w…
What is the absolutely continuous spectrum?
L. Bruneau, V. Jaksic, Y. Last +1
We summarize (and comment on) the research program carried out in (CMP 319, 501 (2013)), (CMP 338, 347 (2015)), (CMP 344, 959 (2016), (LMP 106, 787 (2016)). This program is devoted…
Crystalline conductance and absolutely continuous spectrum of 1D samples
Laurent Bruneau, Yoram Last, Vojkan Jaksic +1
We characterize the absolutely continuous spectrum of half-line one-dimensional Schrödinger operators in terms of the limiting behavior of the Crystaline Landauer-Büttiker conducta…
Zero Hausdorff dimension spectrum for the almost Mathieu operator
Yoram Last, Mira Shamis
We study the almost Mathieu operator at critical coupling. We prove that there exists a dense set of frequencies for which the spectrum is of zero Hausdorff dimension.