Hölder continuity of the spectra for aperiodic Hamiltonians
We study the spectral location of a strongly pattern equivariant Hamiltonians arising through configurations on a colored lattice. Roughly speaking, two configurations are "close to each other" if, up to a translation, they "almost coincide" on a large fixed ball. The larger this...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Beckus, Siegfried - 1988- [verfasserIn] Bellissard, Jean [verfasserIn] Cornean, Horia [verfasserIn] |
|---|
| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2019 |
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| Ausgabe: |
Published: 27 September 2019 |
| Anmerkung: |
Last seen: 08.03.2022 |
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| Weitere Ausgabe: |
Erscheint auch als Preprint: Hölder continuity of the spectra for aperiodic Hamiltonians - Oberwolfach-Walke : Mathematisches Forschungsinstitut, 2019 |
|---|---|
| Übergeordnetes Werk: |
Enthalten in: Annales Henri Poincaré - Institut Henri Poincaré, Cham (ZG) : Springer International Publishing AG, 2000, Volume 20(2019), Issue 11, pp. 3603-3631 |
| Übergeordnetes Werk: |
volume:20 ; year:2019 ; number:11 ; pages:3603-3631 |
| Links: |
|---|
| DOI / URN: |
10.1007/s00023-019-00848-6 |
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| Katalog-ID: |
1795015861 |
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| 100 | 1 | |a Beckus, Siegfried |d 1988- |e verfasserin |0 (DE-588)1115660446 |0 (DE-627)869859692 |0 (DE-576)477845762 |4 aut | |
| 245 | 1 | 0 | |a Hölder continuity of the spectra for aperiodic Hamiltonians |
| 246 | 3 | 3 | |a Holder Continuity of the Spectra for Aperiodic Hamiltonians |
| 250 | |a Published: 27 September 2019 | ||
| 264 | 1 | |c 2019 | |
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| 500 | |a Last seen: 08.03.2022 | ||
| 520 | |a We study the spectral location of a strongly pattern equivariant Hamiltonians arising through configurations on a colored lattice. Roughly speaking, two configurations are "close to each other" if, up to a translation, they "almost coincide" on a large fixed ball. The larger this ball, the more similar they are, and this induces a metric on the space of the corresponding dynamical systems. Our main result states that the map which sends a given configuration into the spectrum of its associated Hamiltonian, is Holder (even Lipschitz) continuous in the usual Hausdorff metric. Specifically, the spectral distance of two Hamiltonians is estimated by the distance of the corresponding dynamical systems. | ||
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| 776 | 0 | 8 | |i Erscheint auch als |n Preprint |t Hölder continuity of the spectra for aperiodic Hamiltonians |d Oberwolfach-Walke : Mathematisches Forschungsinstitut, 2019 |h 1 Online-Ressource (23 Seiten) |w (DE-627)1656008327 |w (DE-576)518538168 |
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10.1007/s00023-019-00848-6 doi (DE-627)1795015861 (DE-599)KXP1795015861 DE-627 ger DE-627 rda eng Beckus, Siegfried 1988- verfasserin (DE-588)1115660446 (DE-627)869859692 (DE-576)477845762 aut Hölder continuity of the spectra for aperiodic Hamiltonians Holder Continuity of the Spectra for Aperiodic Hamiltonians Published: 27 September 2019 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Last seen: 08.03.2022 We study the spectral location of a strongly pattern equivariant Hamiltonians arising through configurations on a colored lattice. Roughly speaking, two configurations are "close to each other" if, up to a translation, they "almost coincide" on a large fixed ball. The larger this ball, the more similar they are, and this induces a metric on the space of the corresponding dynamical systems. Our main result states that the map which sends a given configuration into the spectrum of its associated Hamiltonian, is Holder (even Lipschitz) continuous in the usual Hausdorff metric. Specifically, the spectral distance of two Hamiltonians is estimated by the distance of the corresponding dynamical systems. Bellissard, Jean verfasserin (DE-588)1175040193 (DE-627)1045876364 (DE-576)516063766 aut Cornean, Horia verfasserin (DE-588)1180339592 (DE-627)1067679588 (DE-576)518537854 aut Enthalten in Institut Henri Poincaré Annales Henri Poincaré Cham (ZG) : Springer International Publishing AG, 2000 Volume 20(2019), Issue 11, pp. 3603-3631 Online-Ressource (DE-627)31862012X (DE-600)2019605-2 (DE-576)091020670 1424-0661 nnns volume:20 year:2019 number:11 pages:3603-3631 Erscheint auch als Preprint Hölder continuity of the spectra for aperiodic Hamiltonians Oberwolfach-Walke : Mathematisches Forschungsinstitut, 2019 1 Online-Ressource (23 Seiten) (DE-627)1656008327 (DE-576)518538168 https://doi.org/10.1007/s00023-019-00848-6 Verlag Resolving-System Full text at Publisher lizenzpflichtig GBV_USEFLAG_U GBV_ILN_2088 ISIL_DE-Frei3c SYSFLAG_1 GBV_KXP GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_165 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 20 2019 11 3603-3631 Volume 20(2019), Issue 11, pp. 3603-3631 2088 01 DE-Frei3c 408298058X 00 --%%-- --%%-- --%%-- --%%-- Funding text/Acknowledgements: This research was supported through the program “Research in Pairs” by the Mathematisches Forschungsinstitut Oberwolfach in 2018. [...] l01 08-03-22 2088 01 DE-Frei3c Oberwolfach Preprint https://doi.org/10.14760/OWP-2019-05 |
| spelling |
10.1007/s00023-019-00848-6 doi (DE-627)1795015861 (DE-599)KXP1795015861 DE-627 ger DE-627 rda eng Beckus, Siegfried 1988- verfasserin (DE-588)1115660446 (DE-627)869859692 (DE-576)477845762 aut Hölder continuity of the spectra for aperiodic Hamiltonians Holder Continuity of the Spectra for Aperiodic Hamiltonians Published: 27 September 2019 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Last seen: 08.03.2022 We study the spectral location of a strongly pattern equivariant Hamiltonians arising through configurations on a colored lattice. Roughly speaking, two configurations are "close to each other" if, up to a translation, they "almost coincide" on a large fixed ball. The larger this ball, the more similar they are, and this induces a metric on the space of the corresponding dynamical systems. Our main result states that the map which sends a given configuration into the spectrum of its associated Hamiltonian, is Holder (even Lipschitz) continuous in the usual Hausdorff metric. Specifically, the spectral distance of two Hamiltonians is estimated by the distance of the corresponding dynamical systems. Bellissard, Jean verfasserin (DE-588)1175040193 (DE-627)1045876364 (DE-576)516063766 aut Cornean, Horia verfasserin (DE-588)1180339592 (DE-627)1067679588 (DE-576)518537854 aut Enthalten in Institut Henri Poincaré Annales Henri Poincaré Cham (ZG) : Springer International Publishing AG, 2000 Volume 20(2019), Issue 11, pp. 3603-3631 Online-Ressource (DE-627)31862012X (DE-600)2019605-2 (DE-576)091020670 1424-0661 nnns volume:20 year:2019 number:11 pages:3603-3631 Erscheint auch als Preprint Hölder continuity of the spectra for aperiodic Hamiltonians Oberwolfach-Walke : Mathematisches Forschungsinstitut, 2019 1 Online-Ressource (23 Seiten) (DE-627)1656008327 (DE-576)518538168 https://doi.org/10.1007/s00023-019-00848-6 Verlag Resolving-System Full text at Publisher lizenzpflichtig GBV_USEFLAG_U GBV_ILN_2088 ISIL_DE-Frei3c SYSFLAG_1 GBV_KXP GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_165 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 20 2019 11 3603-3631 Volume 20(2019), Issue 11, pp. 3603-3631 2088 01 DE-Frei3c 408298058X 00 --%%-- --%%-- --%%-- --%%-- Funding text/Acknowledgements: This research was supported through the program “Research in Pairs” by the Mathematisches Forschungsinstitut Oberwolfach in 2018. [...] l01 08-03-22 2088 01 DE-Frei3c Oberwolfach Preprint https://doi.org/10.14760/OWP-2019-05 |
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10.1007/s00023-019-00848-6 doi (DE-627)1795015861 (DE-599)KXP1795015861 DE-627 ger DE-627 rda eng Beckus, Siegfried 1988- verfasserin (DE-588)1115660446 (DE-627)869859692 (DE-576)477845762 aut Hölder continuity of the spectra for aperiodic Hamiltonians Holder Continuity of the Spectra for Aperiodic Hamiltonians Published: 27 September 2019 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Last seen: 08.03.2022 We study the spectral location of a strongly pattern equivariant Hamiltonians arising through configurations on a colored lattice. Roughly speaking, two configurations are "close to each other" if, up to a translation, they "almost coincide" on a large fixed ball. The larger this ball, the more similar they are, and this induces a metric on the space of the corresponding dynamical systems. Our main result states that the map which sends a given configuration into the spectrum of its associated Hamiltonian, is Holder (even Lipschitz) continuous in the usual Hausdorff metric. Specifically, the spectral distance of two Hamiltonians is estimated by the distance of the corresponding dynamical systems. Bellissard, Jean verfasserin (DE-588)1175040193 (DE-627)1045876364 (DE-576)516063766 aut Cornean, Horia verfasserin (DE-588)1180339592 (DE-627)1067679588 (DE-576)518537854 aut Enthalten in Institut Henri Poincaré Annales Henri Poincaré Cham (ZG) : Springer International Publishing AG, 2000 Volume 20(2019), Issue 11, pp. 3603-3631 Online-Ressource (DE-627)31862012X (DE-600)2019605-2 (DE-576)091020670 1424-0661 nnns volume:20 year:2019 number:11 pages:3603-3631 Erscheint auch als Preprint Hölder continuity of the spectra for aperiodic Hamiltonians Oberwolfach-Walke : Mathematisches Forschungsinstitut, 2019 1 Online-Ressource (23 Seiten) (DE-627)1656008327 (DE-576)518538168 https://doi.org/10.1007/s00023-019-00848-6 Verlag Resolving-System Full text at Publisher lizenzpflichtig GBV_USEFLAG_U GBV_ILN_2088 ISIL_DE-Frei3c SYSFLAG_1 GBV_KXP GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_165 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 20 2019 11 3603-3631 Volume 20(2019), Issue 11, pp. 3603-3631 2088 01 DE-Frei3c 408298058X 00 --%%-- --%%-- --%%-- --%%-- Funding text/Acknowledgements: This research was supported through the program “Research in Pairs” by the Mathematisches Forschungsinstitut Oberwolfach in 2018. [...] l01 08-03-22 2088 01 DE-Frei3c Oberwolfach Preprint https://doi.org/10.14760/OWP-2019-05 |
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10.1007/s00023-019-00848-6 doi (DE-627)1795015861 (DE-599)KXP1795015861 DE-627 ger DE-627 rda eng Beckus, Siegfried 1988- verfasserin (DE-588)1115660446 (DE-627)869859692 (DE-576)477845762 aut Hölder continuity of the spectra for aperiodic Hamiltonians Holder Continuity of the Spectra for Aperiodic Hamiltonians Published: 27 September 2019 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Last seen: 08.03.2022 We study the spectral location of a strongly pattern equivariant Hamiltonians arising through configurations on a colored lattice. Roughly speaking, two configurations are "close to each other" if, up to a translation, they "almost coincide" on a large fixed ball. The larger this ball, the more similar they are, and this induces a metric on the space of the corresponding dynamical systems. Our main result states that the map which sends a given configuration into the spectrum of its associated Hamiltonian, is Holder (even Lipschitz) continuous in the usual Hausdorff metric. Specifically, the spectral distance of two Hamiltonians is estimated by the distance of the corresponding dynamical systems. Bellissard, Jean verfasserin (DE-588)1175040193 (DE-627)1045876364 (DE-576)516063766 aut Cornean, Horia verfasserin (DE-588)1180339592 (DE-627)1067679588 (DE-576)518537854 aut Enthalten in Institut Henri Poincaré Annales Henri Poincaré Cham (ZG) : Springer International Publishing AG, 2000 Volume 20(2019), Issue 11, pp. 3603-3631 Online-Ressource (DE-627)31862012X (DE-600)2019605-2 (DE-576)091020670 1424-0661 nnns volume:20 year:2019 number:11 pages:3603-3631 Erscheint auch als Preprint Hölder continuity of the spectra for aperiodic Hamiltonians Oberwolfach-Walke : Mathematisches Forschungsinstitut, 2019 1 Online-Ressource (23 Seiten) (DE-627)1656008327 (DE-576)518538168 https://doi.org/10.1007/s00023-019-00848-6 Verlag Resolving-System Full text at Publisher lizenzpflichtig GBV_USEFLAG_U GBV_ILN_2088 ISIL_DE-Frei3c SYSFLAG_1 GBV_KXP GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_165 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 20 2019 11 3603-3631 Volume 20(2019), Issue 11, pp. 3603-3631 2088 01 DE-Frei3c 408298058X 00 --%%-- --%%-- --%%-- --%%-- Funding text/Acknowledgements: This research was supported through the program “Research in Pairs” by the Mathematisches Forschungsinstitut Oberwolfach in 2018. [...] l01 08-03-22 2088 01 DE-Frei3c Oberwolfach Preprint https://doi.org/10.14760/OWP-2019-05 |
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10.1007/s00023-019-00848-6 doi (DE-627)1795015861 (DE-599)KXP1795015861 DE-627 ger DE-627 rda eng Beckus, Siegfried 1988- verfasserin (DE-588)1115660446 (DE-627)869859692 (DE-576)477845762 aut Hölder continuity of the spectra for aperiodic Hamiltonians Holder Continuity of the Spectra for Aperiodic Hamiltonians Published: 27 September 2019 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Last seen: 08.03.2022 We study the spectral location of a strongly pattern equivariant Hamiltonians arising through configurations on a colored lattice. Roughly speaking, two configurations are "close to each other" if, up to a translation, they "almost coincide" on a large fixed ball. The larger this ball, the more similar they are, and this induces a metric on the space of the corresponding dynamical systems. Our main result states that the map which sends a given configuration into the spectrum of its associated Hamiltonian, is Holder (even Lipschitz) continuous in the usual Hausdorff metric. Specifically, the spectral distance of two Hamiltonians is estimated by the distance of the corresponding dynamical systems. Bellissard, Jean verfasserin (DE-588)1175040193 (DE-627)1045876364 (DE-576)516063766 aut Cornean, Horia verfasserin (DE-588)1180339592 (DE-627)1067679588 (DE-576)518537854 aut Enthalten in Institut Henri Poincaré Annales Henri Poincaré Cham (ZG) : Springer International Publishing AG, 2000 Volume 20(2019), Issue 11, pp. 3603-3631 Online-Ressource (DE-627)31862012X (DE-600)2019605-2 (DE-576)091020670 1424-0661 nnns volume:20 year:2019 number:11 pages:3603-3631 Erscheint auch als Preprint Hölder continuity of the spectra for aperiodic Hamiltonians Oberwolfach-Walke : Mathematisches Forschungsinstitut, 2019 1 Online-Ressource (23 Seiten) (DE-627)1656008327 (DE-576)518538168 https://doi.org/10.1007/s00023-019-00848-6 Verlag Resolving-System Full text at Publisher lizenzpflichtig GBV_USEFLAG_U GBV_ILN_2088 ISIL_DE-Frei3c SYSFLAG_1 GBV_KXP GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_165 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 20 2019 11 3603-3631 Volume 20(2019), Issue 11, pp. 3603-3631 2088 01 DE-Frei3c 408298058X 00 --%%-- --%%-- --%%-- --%%-- Funding text/Acknowledgements: This research was supported through the program “Research in Pairs” by the Mathematisches Forschungsinstitut Oberwolfach in 2018. [...] l01 08-03-22 2088 01 DE-Frei3c Oberwolfach Preprint https://doi.org/10.14760/OWP-2019-05 |
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Roughly speaking, two configurations are "close to each other" if, up to a translation, they "almost coincide" on a large fixed ball. The larger this ball, the more similar they are, and this induces a metric on the space of the corresponding dynamical systems. Our main result states that the map which sends a given configuration into the spectrum of its associated Hamiltonian, is Holder (even Lipschitz) continuous in the usual Hausdorff metric. Specifically, the spectral distance of two Hamiltonians is estimated by the distance of the corresponding dynamical systems.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Bellissard, Jean</subfield><subfield code="e">verfasserin</subfield><subfield code="0">(DE-588)1175040193</subfield><subfield code="0">(DE-627)1045876364</subfield><subfield code="0">(DE-576)516063766</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Cornean, Horia</subfield><subfield code="e">verfasserin</subfield><subfield code="0">(DE-588)1180339592</subfield><subfield code="0">(DE-627)1067679588</subfield><subfield code="0">(DE-576)518537854</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="a">Institut Henri Poincaré</subfield><subfield code="t">Annales Henri Poincaré</subfield><subfield code="d">Cham (ZG) : Springer International Publishing AG, 2000</subfield><subfield code="g">Volume 20(2019), Issue 11, pp. 3603-3631</subfield><subfield code="h">Online-Ressource</subfield><subfield code="w">(DE-627)31862012X</subfield><subfield code="w">(DE-600)2019605-2</subfield><subfield code="w">(DE-576)091020670</subfield><subfield code="x">1424-0661</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:20</subfield><subfield code="g">year:2019</subfield><subfield code="g">number:11</subfield><subfield code="g">pages:3603-3631</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Preprint</subfield><subfield code="t">Hölder continuity of the spectra for aperiodic Hamiltonians</subfield><subfield code="d">Oberwolfach-Walke : Mathematisches Forschungsinstitut, 2019</subfield><subfield code="h">1 Online-Ressource (23 Seiten)</subfield><subfield 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hölder continuity of the spectra for aperiodic hamiltonians |
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Hölder continuity of the spectra for aperiodic Hamiltonians |
| abstract |
We study the spectral location of a strongly pattern equivariant Hamiltonians arising through configurations on a colored lattice. Roughly speaking, two configurations are "close to each other" if, up to a translation, they "almost coincide" on a large fixed ball. The larger this ball, the more similar they are, and this induces a metric on the space of the corresponding dynamical systems. Our main result states that the map which sends a given configuration into the spectrum of its associated Hamiltonian, is Holder (even Lipschitz) continuous in the usual Hausdorff metric. Specifically, the spectral distance of two Hamiltonians is estimated by the distance of the corresponding dynamical systems. Last seen: 08.03.2022 |
| abstractGer |
We study the spectral location of a strongly pattern equivariant Hamiltonians arising through configurations on a colored lattice. Roughly speaking, two configurations are "close to each other" if, up to a translation, they "almost coincide" on a large fixed ball. The larger this ball, the more similar they are, and this induces a metric on the space of the corresponding dynamical systems. Our main result states that the map which sends a given configuration into the spectrum of its associated Hamiltonian, is Holder (even Lipschitz) continuous in the usual Hausdorff metric. Specifically, the spectral distance of two Hamiltonians is estimated by the distance of the corresponding dynamical systems. Last seen: 08.03.2022 |
| abstract_unstemmed |
We study the spectral location of a strongly pattern equivariant Hamiltonians arising through configurations on a colored lattice. Roughly speaking, two configurations are "close to each other" if, up to a translation, they "almost coincide" on a large fixed ball. The larger this ball, the more similar they are, and this induces a metric on the space of the corresponding dynamical systems. Our main result states that the map which sends a given configuration into the spectrum of its associated Hamiltonian, is Holder (even Lipschitz) continuous in the usual Hausdorff metric. Specifically, the spectral distance of two Hamiltonians is estimated by the distance of the corresponding dynamical systems. Last seen: 08.03.2022 |
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Hölder continuity of the spectra for aperiodic Hamiltonians |
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code="x">DE-Frei3c</subfield><subfield code="b">408298058X</subfield><subfield code="c">00</subfield><subfield code="f">--%%--</subfield><subfield code="d">--%%--</subfield><subfield code="e">--%%--</subfield><subfield code="j">--%%--</subfield><subfield code="k">Funding text/Acknowledgements: This research was supported through the program “Research in Pairs” by the Mathematisches Forschungsinstitut Oberwolfach in 2018. [...]</subfield><subfield code="y">l01</subfield><subfield code="z">08-03-22</subfield></datafield><datafield tag="981" ind1=" " ind2=" "><subfield code="2">2088</subfield><subfield code="1">01</subfield><subfield code="x">DE-Frei3c</subfield><subfield code="y">Oberwolfach Preprint</subfield><subfield code="r">https://doi.org/10.14760/OWP-2019-05</subfield></datafield></record></collection>
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