Zobrazeno 1 - 10
of 159
pro vyhledávání: '"David Damanik"'
Autor:
David Damanik, Gunter Stolz
Publikováno v:
Electronic Journal of Differential Equations, Vol 2000, Iss 55, Pp 1-8 (2000)
We present a criterion for absence of eigenvalues for one-dimensional Schrodinger operators. This criterion can be regarded as an L^1-version of Gordon's theorem and it has a broader range of application. Absence of eigenvalues is then established fo
Externí odkaz:
https://doaj.org/article/78a0025c6b6d46cdb3e33119da903ef4
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bb03c19bcd07ae1a95b4e7e37d47741b
https://doi.org/10.1007/s00220-022-04607-3
https://doi.org/10.1007/s00220-022-04607-3
Autor:
David Damanik, Anton Gorodetski
Publikováno v:
Communications in Mathematical Physics. 393:1583-1613
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::eb7659385c791f159083abb45647aea3
https://doi.org/10.1007/s00220-022-04395-w
https://doi.org/10.1007/s00220-022-04395-w
Publikováno v:
Oberwolfach Reports. 18:33-85
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a621915867d565ee26b4c216880c9b20
https://doi.org/10.4171/owr/2021/2
https://doi.org/10.4171/owr/2021/2
Publikováno v:
Mathematische Annalen. 384:1-37
We show that the Szegő matrices, associated with Verblunsky coefficients $$\{{\alpha }_n\}_{n\in {{\mathbb {Z}}}_+}$$ obeying $$\sum _{n = 0}^\infty n^{\gamma } |{\alpha }_n|^2 < \infty $$ for some $${\gamma } \in (0,1)$$ , are bounded for values $$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7805475bd756c37d5e9e7a452907489b
https://doi.org/10.1007/s00208-021-02283-7
https://doi.org/10.1007/s00208-021-02283-7
Publikováno v:
Science China Mathematics. 65:539-558
We develop subordinacy theory for extended CMV matrices. That is, we provide explicit supports for the singular and absolutely continuous parts of the canonical spectral measure associated with a given extended CMV matrix in terms of the presence or
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6eb5723ca862bf7fe6e98dc98eaa9ed9
https://doi.org/10.1007/s11425-020-1778-4
https://doi.org/10.1007/s11425-020-1778-4
Publikováno v:
Journal of Spectral Theory. 11:1255-1277
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d67a939922071a6dbc9724d10fb8e3d1
https://doi.org/10.4171/jst/371
https://doi.org/10.4171/jst/371
Publikováno v:
Journal of Spectral Theory. 11:873-902
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f8c21cc2b73954ad33d4b38fa1a0dcd9
https://doi.org/10.4171/jst/360
https://doi.org/10.4171/jst/360
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