Zobrazeno 1 - 10
of 118
pro vyhledávání: '"Breuer, Jonathan"'
Autor:
Breuer, Jonathan, Ofner, Daniel
We study mesoscopic fluctuations of orthogonal polynomial ensembles on the unit circle. We show that asymptotics of such fluctuations are stable under decaying perturbations of the recurrence coefficients, where the appropriate decay rate depends on
Externí odkaz:
http://arxiv.org/abs/2409.09803
Autor:
Breuer, Jonathan, Seelig, Eyal
We study bounds on eigenvalue gaps for finite quotients of periodic Jacobi matrices on trees. We prove an Alon-Boppana type bound for the spectral gap and a comparison result for other eigenvalue gaps.
Externí odkaz:
http://arxiv.org/abs/2402.07202
We introduce a function of the density of states for periodic Jacobi matrices on trees and prove a useful formula for it. This allows new, streamlined proofs of the gap labeling and Aomoto index theorems. We prove a version of this new formula for th
Externí odkaz:
http://arxiv.org/abs/2309.00437
Autor:
Breuer, Jonathan, Kovařík, Hynek
It is well-known that, due to the interaction between the spin and the magnetic field, the two-dimensional Pauli operator has an eigenvalue $0$ at the threshold of its essential spectrum. We show that when perturbed by an effectively positive perturb
Externí odkaz:
http://arxiv.org/abs/2304.06289
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 covers whose normalized eigenvalue counting measures converge to the dens
Externí odkaz:
http://arxiv.org/abs/2011.05770
We study fluctuations of polynomial linear statistics for discrete Schr\"odinger operators with a random decaying potential. We describe a decomposition of the space of polynomials into a direct sum of three subspaces determining the growth rate of t
Externí odkaz:
http://arxiv.org/abs/1912.05254
Publikováno v:
Adv. Math. 379 (2020), 107241
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 time is that these operators have no singular continuous spectrum. We
Externí odkaz:
http://arxiv.org/abs/1911.02612
Autor:
Breuer, Jonathan, Seelig, Eyal
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. We complement this with the analog of the result from arXiv:1011.3159
Externí odkaz:
http://arxiv.org/abs/1908.06737
Autor:
Breuer, Jonathan, Levi, Netanel
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-dimensional operators whose properties are explicitly related to the struct
Externí odkaz:
http://arxiv.org/abs/1901.00349
Autor:
Breuer, Jonathan
We study scaling limits of deterministic Jacobi matrices at a fixed point, $x_0$, and their connection to the scaling limits of the Christoffel-Darboux kernel at that point. We show that in the case that the orthogonal polynomials are bounded at $x_0
Externí odkaz:
http://arxiv.org/abs/1812.07256