Zobrazeno 1 - 10
of 36
pro vyhledávání: '"Jake Fillman"'
Autor:
David Damanik, Jake Fillman
Publikováno v:
Communications in Mathematical Physics. 400:793-804
We consider discrete Schr\"odinger operators on the half line with potentials generated by the doubling map and continuous sampling functions. We show that the essential spectrum of these operators is always connected. This result is obtained by comp
Publikováno v:
Journal of Spectral Theory. 11:873-902
Aperiodic substitution tilings provide popular models for quasicrystals, materials exhibiting aperiodic order. We study the graph Laplacian associated with four tilings from the mutual local derivability class of the Penrose tiling, as well as the Am
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dbd4818f23caf36bd2e81334a6005d87
http://arxiv.org/abs/2209.01443
http://arxiv.org/abs/2209.01443
Autor:
David Damanik, Jake Fillman
Publikováno v:
Graduate Studies in Mathematics ISBN: 9781470470852
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5a0eabae4daee54c00178f35782f4efd
https://doi.org/10.1090/gsm/221
https://doi.org/10.1090/gsm/221
Publikováno v:
Journal of Differential Equations. 282:104-126
We consider disordered Hamiltonians given by the Laplace operator subject to arbitrary random self-adjoint singular perturbations supported on random discrete subsets of the real line. Under minimal assumptions on the type of disorder, we prove the f
We prove that limit-periodic Dirac operators generically have spectra of zero Lebesgue measure and that a dense set of them have spectra of zero Hausdorff dimension. The proof combines ideas of Avila from a Schr\"odinger setting with a new commutatio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a066468964abddf5d5f8a8029ec6c490
http://arxiv.org/abs/2203.12650
http://arxiv.org/abs/2203.12650
Building on works of Berthe-Steiner-Thuswaldner and Fogg-Nous, we show that on the two-dimensional torus, Lebesgue almost every translation admits a natural coding such that the associated subshift satisfies the Boshernitzan criterion. As a consequen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7a4c16644db35de823130b9d8fb4cd75
https://doi.org/10.4171/jst/411
https://doi.org/10.4171/jst/411
We study the Bloch variety of discrete Schr\"odinger operators associated with a complex periodic potential and a general finite-range interaction, showing that the Bloch variety is irreducible for a wide class of lattice geometries in arbitrary dime
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f2a6877951e07c20cf9ca45530be456d
http://arxiv.org/abs/2107.06447
http://arxiv.org/abs/2107.06447
Autor:
Mark Embree, Jake Fillman
Publikováno v:
Journal of Spectral Theory. 9:1063-1087
Autor:
Jake Fillman, David Damanik
Publikováno v:
Proceedings of the American Mathematical Society. 147:1531-1539