Spectral killers and Poisson bracket invariants
We find optimal upper bounds for spectral invariants of a Hamiltonian whose support is contained in a union of mutually disjoint displaceable balls. This gives a partial answer to a question posed by Leonid Polterovich in connection with his recent work on Poisson bracket invariants of coverings.
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American Institute of Mathematical Sciences (AIMS)
2015
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Online Access: | http://hdl.handle.net/1721.1/98179 https://orcid.org/0000-0003-3248-9165 |
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author | Seyfaddini, Sobhan |
author2 | Massachusetts Institute of Technology. Department of Mathematics |
author_facet | Massachusetts Institute of Technology. Department of Mathematics Seyfaddini, Sobhan |
author_sort | Seyfaddini, Sobhan |
collection | MIT |
description | We find optimal upper bounds for spectral invariants of a Hamiltonian whose support is contained in a union of mutually disjoint displaceable balls. This gives a partial answer to a question posed by Leonid Polterovich in connection with his recent work on Poisson bracket invariants of coverings. |
first_indexed | 2024-09-23T15:57:33Z |
format | Article |
id | mit-1721.1/98179 |
institution | Massachusetts Institute of Technology |
language | en_US |
last_indexed | 2024-09-23T15:57:33Z |
publishDate | 2015 |
publisher | American Institute of Mathematical Sciences (AIMS) |
record_format | dspace |
spelling | mit-1721.1/981792022-09-29T17:16:05Z Spectral killers and Poisson bracket invariants Seyfaddini, Sobhan Massachusetts Institute of Technology. Department of Mathematics Seyfaddini, Sobhan We find optimal upper bounds for spectral invariants of a Hamiltonian whose support is contained in a union of mutually disjoint displaceable balls. This gives a partial answer to a question posed by Leonid Polterovich in connection with his recent work on Poisson bracket invariants of coverings. Seventh Framework Programme (European Commission) (ERC Grant Agreement 307062) 2015-08-21T14:31:04Z 2015-08-21T14:31:04Z 2015-05 2014-10 Article http://purl.org/eprint/type/JournalArticle 1930-5311 http://hdl.handle.net/1721.1/98179 Seyfaddini, Sobhan. “Spectral Killers and Poisson Bracket Invariants.” JMD 9, no. 01 (May 2015): 51–66. © 2015 AIMSCIENCES https://orcid.org/0000-0003-3248-9165 en_US http://dx.doi.org/10.3934/jmd.2015.9.51 Journal of Modern Dynamics Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Institute of Mathematical Sciences (AIMS) American Institute of Mathematical Sciences (AIMS) |
spellingShingle | Seyfaddini, Sobhan Spectral killers and Poisson bracket invariants |
title | Spectral killers and Poisson bracket invariants |
title_full | Spectral killers and Poisson bracket invariants |
title_fullStr | Spectral killers and Poisson bracket invariants |
title_full_unstemmed | Spectral killers and Poisson bracket invariants |
title_short | Spectral killers and Poisson bracket invariants |
title_sort | spectral killers and poisson bracket invariants |
url | http://hdl.handle.net/1721.1/98179 https://orcid.org/0000-0003-3248-9165 |
work_keys_str_mv | AT seyfaddinisobhan spectralkillersandpoissonbracketinvariants |