Numerical resonances for Schottky surfaces via Lagrange–Chebyshev approximation Article Swipe
Oscar F. Bandtlow
,
Anke Pohl
,
Torben Schick
,
Alexander Weiße
·
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.1142/s0219493721400050
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.1142/s0219493721400050
We present a numerical method to calculate resonances of Schottky surfaces based on Selberg theory, transfer operator techniques and Lagrange–Chebyshev approximation. This method is an alternative to the method based on periodic orbit expansion used previously in this context.
Related Topics
Concepts
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1142/s0219493721400050
- OA Status
- green
- Cited By
- 3
- References
- 47
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W3004889781
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
-
https://openalex.org/W3004889781Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.1142/s0219493721400050Digital Object Identifier
- Title
-
Numerical resonances for Schottky surfaces via Lagrange–Chebyshev approximationWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2020Year of publication
- Publication date
-
2020-08-28Full publication date if available
- Authors
-
Oscar F. Bandtlow, Anke Pohl, Torben Schick, Alexander WeißeList of authors in order
- Landing page
-
https://doi.org/10.1142/s0219493721400050Publisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
-
https://arxiv.org/pdf/2002.03334Direct OA link when available
- Concepts
-
Chebyshev filter, Approximation theory, Chebyshev polynomials, Context (archaeology), Mathematics, Mathematical analysis, Paleontology, BiologyTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
3Total citation count in OpenAlex
- Citations by year (recent)
-
2022: 2, 2020: 1Per-year citation counts (last 5 years)
- References (count)
-
47Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
Full payload
| id | https://openalex.org/W3004889781 |
|---|---|
| doi | https://doi.org/10.1142/s0219493721400050 |
| ids.doi | https://doi.org/10.1142/s0219493721400050 |
| ids.mag | 3004889781 |
| ids.openalex | https://openalex.org/W3004889781 |
| fwci | 1.09026034 |
| type | article |
| title | Numerical resonances for Schottky surfaces via Lagrange–Chebyshev approximation |
| awards[0].id | https://openalex.org/G4020184887 |
| awards[0].funder_id | https://openalex.org/F4320334627 |
| awards[0].display_name | |
| awards[0].funder_award_id | EP/R012008/1 |
| awards[0].funder_display_name | Engineering and Physical Sciences Research Council |
| biblio.issue | |
| biblio.volume | |
| biblio.last_page | 2140005 |
| biblio.first_page | 2140005 |
| topics[0].id | https://openalex.org/T11022 |
| topics[0].field.id | https://openalex.org/fields/26 |
| topics[0].field.display_name | Mathematics |
| topics[0].score | 0.9991000294685364 |
| topics[0].domain.id | https://openalex.org/domains/3 |
| topics[0].domain.display_name | Physical Sciences |
| topics[0].subfield.id | https://openalex.org/subfields/2610 |
| topics[0].subfield.display_name | Mathematical Physics |
| topics[0].display_name | Spectral Theory in Mathematical Physics |
| topics[1].id | https://openalex.org/T11887 |
| topics[1].field.id | https://openalex.org/fields/25 |
| topics[1].field.display_name | Materials Science |
| topics[1].score | 0.9987000226974487 |
| topics[1].domain.id | https://openalex.org/domains/3 |
| topics[1].domain.display_name | Physical Sciences |
| topics[1].subfield.id | https://openalex.org/subfields/2505 |
| topics[1].subfield.display_name | Materials Chemistry |
| topics[1].display_name | Quasicrystal Structures and Properties |
| topics[2].id | https://openalex.org/T10792 |
| topics[2].field.id | https://openalex.org/fields/17 |
| topics[2].field.display_name | Computer Science |
| topics[2].score | 0.996999979019165 |
| topics[2].domain.id | https://openalex.org/domains/3 |
| topics[2].domain.display_name | Physical Sciences |
| topics[2].subfield.id | https://openalex.org/subfields/1703 |
| topics[2].subfield.display_name | Computational Theory and Mathematics |
| topics[2].display_name | Matrix Theory and Algorithms |
| funders[0].id | https://openalex.org/F4320334627 |
| funders[0].ror | https://ror.org/0439y7842 |
| funders[0].display_name | Engineering and Physical Sciences Research Council |
| is_xpac | False |
| apc_list | |
| apc_paid | |
| concepts[0].id | https://openalex.org/C21424316 |
| concepts[0].level | 2 |
| concepts[0].score | 0.7043687105178833 |
| concepts[0].wikidata | https://www.wikidata.org/wiki/Q718621 |
| concepts[0].display_name | Chebyshev filter |
| concepts[1].id | https://openalex.org/C145242015 |
| concepts[1].level | 2 |
| concepts[1].score | 0.6243823170661926 |
| concepts[1].wikidata | https://www.wikidata.org/wiki/Q774123 |
| concepts[1].display_name | Approximation theory |
| concepts[2].id | https://openalex.org/C129785596 |
| concepts[2].level | 2 |
| concepts[2].score | 0.5941932797431946 |
| concepts[2].wikidata | https://www.wikidata.org/wiki/Q619511 |
| concepts[2].display_name | Chebyshev polynomials |
| concepts[3].id | https://openalex.org/C2779343474 |
| concepts[3].level | 2 |
| concepts[3].score | 0.5556831955909729 |
| concepts[3].wikidata | https://www.wikidata.org/wiki/Q3109175 |
| concepts[3].display_name | Context (archaeology) |
| concepts[4].id | https://openalex.org/C33923547 |
| concepts[4].level | 0 |
| concepts[4].score | 0.4745550751686096 |
| concepts[4].wikidata | https://www.wikidata.org/wiki/Q395 |
| concepts[4].display_name | Mathematics |
| concepts[5].id | https://openalex.org/C134306372 |
| concepts[5].level | 1 |
| concepts[5].score | 0.4096098244190216 |
| concepts[5].wikidata | https://www.wikidata.org/wiki/Q7754 |
| concepts[5].display_name | Mathematical analysis |
| concepts[6].id | https://openalex.org/C151730666 |
| concepts[6].level | 1 |
| concepts[6].score | 0.0 |
| concepts[6].wikidata | https://www.wikidata.org/wiki/Q7205 |
| concepts[6].display_name | Paleontology |
| concepts[7].id | https://openalex.org/C86803240 |
| concepts[7].level | 0 |
| concepts[7].score | 0.0 |
| concepts[7].wikidata | https://www.wikidata.org/wiki/Q420 |
| concepts[7].display_name | Biology |
| keywords[0].id | https://openalex.org/keywords/chebyshev-filter |
| keywords[0].score | 0.7043687105178833 |
| keywords[0].display_name | Chebyshev filter |
| keywords[1].id | https://openalex.org/keywords/approximation-theory |
| keywords[1].score | 0.6243823170661926 |
| keywords[1].display_name | Approximation theory |
| keywords[2].id | https://openalex.org/keywords/chebyshev-polynomials |
| keywords[2].score | 0.5941932797431946 |
| keywords[2].display_name | Chebyshev polynomials |
| keywords[3].id | https://openalex.org/keywords/context |
| keywords[3].score | 0.5556831955909729 |
| keywords[3].display_name | Context (archaeology) |
| keywords[4].id | https://openalex.org/keywords/mathematics |
| keywords[4].score | 0.4745550751686096 |
| keywords[4].display_name | Mathematics |
| keywords[5].id | https://openalex.org/keywords/mathematical-analysis |
| keywords[5].score | 0.4096098244190216 |
| keywords[5].display_name | Mathematical analysis |
| language | en |
| locations[0].id | doi:10.1142/s0219493721400050 |
| locations[0].is_oa | False |
| locations[0].source.id | https://openalex.org/S15530466 |
| locations[0].source.issn | 0219-4937, 1793-6799 |
| locations[0].source.type | journal |
| locations[0].source.is_oa | False |
| locations[0].source.issn_l | 0219-4937 |
| locations[0].source.is_core | True |
| locations[0].source.is_in_doaj | False |
| locations[0].source.display_name | Stochastics and Dynamics |
| locations[0].source.host_organization | https://openalex.org/P4310319815 |
| locations[0].source.host_organization_name | World Scientific |
| locations[0].source.host_organization_lineage | https://openalex.org/P4310319815 |
| locations[0].source.host_organization_lineage_names | World Scientific |
| locations[0].license | |
| locations[0].pdf_url | |
| locations[0].version | publishedVersion |
| locations[0].raw_type | journal-article |
| locations[0].license_id | |
| locations[0].is_accepted | True |
| locations[0].is_published | True |
| locations[0].raw_source_name | Stochastics and Dynamics |
| locations[0].landing_page_url | https://doi.org/10.1142/s0219493721400050 |
| locations[1].id | pmh:oai:arXiv.org:2002.03334 |
| locations[1].is_oa | True |
| locations[1].source.id | https://openalex.org/S4306400194 |
| locations[1].source.issn | |
| locations[1].source.type | repository |
| locations[1].source.is_oa | True |
| locations[1].source.issn_l | |
| locations[1].source.is_core | False |
| locations[1].source.is_in_doaj | False |
| locations[1].source.display_name | arXiv (Cornell University) |
| locations[1].source.host_organization | https://openalex.org/I205783295 |
| locations[1].source.host_organization_name | Cornell University |
| locations[1].source.host_organization_lineage | https://openalex.org/I205783295 |
| locations[1].license | |
| locations[1].pdf_url | https://arxiv.org/pdf/2002.03334 |
| locations[1].version | submittedVersion |
| locations[1].raw_type | text |
| locations[1].license_id | |
| locations[1].is_accepted | False |
| locations[1].is_published | False |
| locations[1].raw_source_name | |
| locations[1].landing_page_url | http://arxiv.org/abs/2002.03334 |
| locations[2].id | pmh:oai:qmro.qmul.ac.uk:123456789/65067 |
| locations[2].is_oa | False |
| locations[2].source.id | https://openalex.org/S4306400530 |
| locations[2].source.issn | |
| locations[2].source.type | repository |
| locations[2].source.is_oa | False |
| locations[2].source.issn_l | |
| locations[2].source.is_core | False |
| locations[2].source.is_in_doaj | False |
| locations[2].source.display_name | Queen Mary Research Online (Queen Mary University of London) |
| locations[2].source.host_organization | https://openalex.org/I166337079 |
| locations[2].source.host_organization_name | Queen Mary University of London |
| locations[2].source.host_organization_lineage | https://openalex.org/I166337079 |
| locations[2].license | |
| locations[2].pdf_url | |
| locations[2].version | submittedVersion |
| locations[2].raw_type | Article |
| locations[2].license_id | |
| locations[2].is_accepted | False |
| locations[2].is_published | False |
| locations[2].raw_source_name | |
| locations[2].landing_page_url | https://qmro.qmul.ac.uk/xmlui/handle/123456789/65067 |
| indexed_in | arxiv, crossref |
| authorships[0].author.id | https://openalex.org/A5026712096 |
| authorships[0].author.orcid | https://orcid.org/0000-0002-8288-4991 |
| authorships[0].author.display_name | Oscar F. Bandtlow |
| authorships[0].countries | GB |
| authorships[0].affiliations[0].institution_ids | https://openalex.org/I166337079 |
| authorships[0].affiliations[0].raw_affiliation_string | School of Mathematical Sciences, Queen Mary University of London, London E3 4NS, UK |
| authorships[0].institutions[0].id | https://openalex.org/I166337079 |
| authorships[0].institutions[0].ror | https://ror.org/026zzn846 |
| authorships[0].institutions[0].type | education |
| authorships[0].institutions[0].lineage | https://openalex.org/I124357947, https://openalex.org/I166337079 |
| authorships[0].institutions[0].country_code | GB |
| authorships[0].institutions[0].display_name | Queen Mary University of London |
| authorships[0].author_position | first |
| authorships[0].raw_author_name | Oscar F. Bandtlow |
| authorships[0].is_corresponding | False |
| authorships[0].raw_affiliation_strings | School of Mathematical Sciences, Queen Mary University of London, London E3 4NS, UK |
| authorships[1].author.id | https://openalex.org/A5038241955 |
| authorships[1].author.orcid | https://orcid.org/0000-0003-3000-4523 |
| authorships[1].author.display_name | Anke Pohl |
| authorships[1].countries | DE |
| authorships[1].affiliations[0].institution_ids | https://openalex.org/I180437899, https://openalex.org/I4210141311 |
| authorships[1].affiliations[0].raw_affiliation_string | University of Bremen, Department 3 — Mathematics, Bibliothekstr. 5, 28359 Bremen, Germany |
| authorships[1].institutions[0].id | https://openalex.org/I4210141311 |
| authorships[1].institutions[0].ror | https://ror.org/04cwb1p56 |
| authorships[1].institutions[0].type | archive |
| authorships[1].institutions[0].lineage | https://openalex.org/I180437899, https://openalex.org/I4210141311 |
| authorships[1].institutions[0].country_code | DE |
| authorships[1].institutions[0].display_name | Staats- und Universitätsbibliothek Bremen |
| authorships[1].institutions[1].id | https://openalex.org/I180437899 |
| authorships[1].institutions[1].ror | https://ror.org/04ers2y35 |
| authorships[1].institutions[1].type | education |
| authorships[1].institutions[1].lineage | https://openalex.org/I180437899 |
| authorships[1].institutions[1].country_code | DE |
| authorships[1].institutions[1].display_name | University of Bremen |
| authorships[1].author_position | middle |
| authorships[1].raw_author_name | Anke Pohl |
| authorships[1].is_corresponding | False |
| authorships[1].raw_affiliation_strings | University of Bremen, Department 3 — Mathematics, Bibliothekstr. 5, 28359 Bremen, Germany |
| authorships[2].author.id | https://openalex.org/A5056313909 |
| authorships[2].author.orcid | |
| authorships[2].author.display_name | Torben Schick |
| authorships[2].affiliations[0].raw_affiliation_string | Hauburgsteinweg 47, 61476 Kronberg, Germany |
| authorships[2].author_position | middle |
| authorships[2].raw_author_name | Torben Schick |
| authorships[2].is_corresponding | False |
| authorships[2].raw_affiliation_strings | Hauburgsteinweg 47, 61476 Kronberg, Germany |
| authorships[3].author.id | https://openalex.org/A5025868179 |
| authorships[3].author.orcid | https://orcid.org/0009-0009-4033-9184 |
| authorships[3].author.display_name | Alexander Weiße |
| authorships[3].countries | DE |
| authorships[3].affiliations[0].institution_ids | https://openalex.org/I4210119712 |
| authorships[3].affiliations[0].raw_affiliation_string | Max Planck Institute for Mathematics, Vivatsgasse 7, 53111 Bonn, Germany |
| authorships[3].institutions[0].id | https://openalex.org/I4210119712 |
| authorships[3].institutions[0].ror | https://ror.org/02dh8ja68 |
| authorships[3].institutions[0].type | facility |
| authorships[3].institutions[0].lineage | https://openalex.org/I149899117, https://openalex.org/I4210119712 |
| authorships[3].institutions[0].country_code | DE |
| authorships[3].institutions[0].display_name | Max Planck Institute for Mathematics |
| authorships[3].author_position | last |
| authorships[3].raw_author_name | Alexander Weiße |
| authorships[3].is_corresponding | False |
| authorships[3].raw_affiliation_strings | Max Planck Institute for Mathematics, Vivatsgasse 7, 53111 Bonn, Germany |
| has_content.pdf | False |
| has_content.grobid_xml | False |
| is_paratext | False |
| open_access.is_oa | True |
| open_access.oa_url | https://arxiv.org/pdf/2002.03334 |
| open_access.oa_status | green |
| open_access.any_repository_has_fulltext | False |
| created_date | 2025-10-10T00:00:00 |
| display_name | Numerical resonances for Schottky surfaces via Lagrange–Chebyshev approximation |
| has_fulltext | False |
| is_retracted | False |
| updated_date | 2025-11-06T03:46:38.306776 |
| primary_topic.id | https://openalex.org/T11022 |
| primary_topic.field.id | https://openalex.org/fields/26 |
| primary_topic.field.display_name | Mathematics |
| primary_topic.score | 0.9991000294685364 |
| primary_topic.domain.id | https://openalex.org/domains/3 |
| primary_topic.domain.display_name | Physical Sciences |
| primary_topic.subfield.id | https://openalex.org/subfields/2610 |
| primary_topic.subfield.display_name | Mathematical Physics |
| primary_topic.display_name | Spectral Theory in Mathematical Physics |
| related_works | https://openalex.org/W2382532955, https://openalex.org/W2106962382, https://openalex.org/W4213342932, https://openalex.org/W2056379897, https://openalex.org/W2074316639, https://openalex.org/W2103866537, https://openalex.org/W2026855132, https://openalex.org/W1520472894, https://openalex.org/W2116925467, https://openalex.org/W2541927208 |
| cited_by_count | 3 |
| counts_by_year[0].year | 2022 |
| counts_by_year[0].cited_by_count | 2 |
| counts_by_year[1].year | 2020 |
| counts_by_year[1].cited_by_count | 1 |
| locations_count | 3 |
| best_oa_location.id | pmh:oai:arXiv.org:2002.03334 |
| best_oa_location.is_oa | True |
| best_oa_location.source.id | https://openalex.org/S4306400194 |
| best_oa_location.source.issn | |
| best_oa_location.source.type | repository |
| best_oa_location.source.is_oa | True |
| best_oa_location.source.issn_l | |
| best_oa_location.source.is_core | False |
| best_oa_location.source.is_in_doaj | False |
| best_oa_location.source.display_name | arXiv (Cornell University) |
| best_oa_location.source.host_organization | https://openalex.org/I205783295 |
| best_oa_location.source.host_organization_name | Cornell University |
| best_oa_location.source.host_organization_lineage | https://openalex.org/I205783295 |
| best_oa_location.license | |
| best_oa_location.pdf_url | https://arxiv.org/pdf/2002.03334 |
| best_oa_location.version | submittedVersion |
| best_oa_location.raw_type | text |
| best_oa_location.license_id | |
| best_oa_location.is_accepted | False |
| best_oa_location.is_published | False |
| best_oa_location.raw_source_name | |
| best_oa_location.landing_page_url | http://arxiv.org/abs/2002.03334 |
| primary_location.id | doi:10.1142/s0219493721400050 |
| primary_location.is_oa | False |
| primary_location.source.id | https://openalex.org/S15530466 |
| primary_location.source.issn | 0219-4937, 1793-6799 |
| primary_location.source.type | journal |
| primary_location.source.is_oa | False |
| primary_location.source.issn_l | 0219-4937 |
| primary_location.source.is_core | True |
| primary_location.source.is_in_doaj | False |
| primary_location.source.display_name | Stochastics and Dynamics |
| primary_location.source.host_organization | https://openalex.org/P4310319815 |
| primary_location.source.host_organization_name | World Scientific |
| primary_location.source.host_organization_lineage | https://openalex.org/P4310319815 |
| primary_location.source.host_organization_lineage_names | World Scientific |
| primary_location.license | |
| primary_location.pdf_url | |
| primary_location.version | publishedVersion |
| primary_location.raw_type | journal-article |
| primary_location.license_id | |
| primary_location.is_accepted | True |
| primary_location.is_published | True |
| primary_location.raw_source_name | Stochastics and Dynamics |
| primary_location.landing_page_url | https://doi.org/10.1142/s0219493721400050 |
| publication_date | 2020-08-28 |
| publication_year | 2020 |
| referenced_works | https://openalex.org/W2031614119, https://openalex.org/W2964152127, https://openalex.org/W2951868104, https://openalex.org/W2077608758, https://openalex.org/W2051199769, https://openalex.org/W2964347540, https://openalex.org/W2564484887, https://openalex.org/W2593370177, https://openalex.org/W2052819073, https://openalex.org/W2049287381, https://openalex.org/W2146249229, https://openalex.org/W2020939759, https://openalex.org/W2056996244, https://openalex.org/W1992023107, https://openalex.org/W2042940983, https://openalex.org/W2042968368, https://openalex.org/W1969202428, https://openalex.org/W2082624758, https://openalex.org/W2963980194, https://openalex.org/W2090111652, https://openalex.org/W2892183272, https://openalex.org/W2018342351, https://openalex.org/W2613392918, https://openalex.org/W3103926447, https://openalex.org/W3101038804, https://openalex.org/W2889160372, https://openalex.org/W4231258329, https://openalex.org/W2042286188, https://openalex.org/W3100101338, https://openalex.org/W2196559987, https://openalex.org/W4301178462, https://openalex.org/W4205658096, https://openalex.org/W2612416088, https://openalex.org/W1537552285, https://openalex.org/W2948015711, https://openalex.org/W3088620355, https://openalex.org/W4251479369, https://openalex.org/W4289776324, https://openalex.org/W4242954585, https://openalex.org/W3038057161, https://openalex.org/W3001136537, https://openalex.org/W3015267609, https://openalex.org/W3098914594, https://openalex.org/W2339895060, https://openalex.org/W593487728, https://openalex.org/W3103966093, https://openalex.org/W1899409695 |
| referenced_works_count | 47 |
| abstract_inverted_index.a | 2 |
| abstract_inverted_index.We | 0 |
| abstract_inverted_index.an | 24 |
| abstract_inverted_index.in | 36 |
| abstract_inverted_index.is | 23 |
| abstract_inverted_index.of | 8 |
| abstract_inverted_index.on | 12, 30 |
| abstract_inverted_index.to | 5, 26 |
| abstract_inverted_index.and | 18 |
| abstract_inverted_index.the | 27 |
| abstract_inverted_index.This | 21 |
| abstract_inverted_index.this | 37 |
| abstract_inverted_index.used | 34 |
| abstract_inverted_index.based | 11, 29 |
| abstract_inverted_index.orbit | 32 |
| abstract_inverted_index.method | 4, 22, 28 |
| abstract_inverted_index.Selberg | 13 |
| abstract_inverted_index.present | 1 |
| abstract_inverted_index.theory, | 14 |
| abstract_inverted_index.Schottky | 9 |
| abstract_inverted_index.context. | 38 |
| abstract_inverted_index.operator | 16 |
| abstract_inverted_index.periodic | 31 |
| abstract_inverted_index.surfaces | 10 |
| abstract_inverted_index.transfer | 15 |
| abstract_inverted_index.calculate | 6 |
| abstract_inverted_index.expansion | 33 |
| abstract_inverted_index.numerical | 3 |
| abstract_inverted_index.previously | 35 |
| abstract_inverted_index.resonances | 7 |
| abstract_inverted_index.techniques | 17 |
| abstract_inverted_index.alternative | 25 |
| abstract_inverted_index.approximation. | 20 |
| abstract_inverted_index.Lagrange–Chebyshev | 19 |
| cited_by_percentile_year.max | 96 |
| cited_by_percentile_year.min | 89 |
| countries_distinct_count | 2 |
| institutions_distinct_count | 4 |
| citation_normalized_percentile.value | 0.76652195 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |