{"id":"https://openalex.org/W7213494430","doi":"https://doi.org/10.48550/arxiv.2609.18937","title":"Polynomial rigidity of strong-field magnetic billiards","display_name":"Polynomial rigidity of strong-field magnetic billiards","publication_year":2026,"publication_date":"2026-08-05","ids":{"openalex":"https://openalex.org/W7213494430","doi":"https://doi.org/10.48550/arxiv.2609.18937"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.18937","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.18937","pdf_url":"https://arxiv.org/pdf/2609.18937","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.18937","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040346968","display_name":"D. Bhandari","orcid":"https://orcid.org/0009-0008-8443-5461","observed_orcids":["https://orcid.org/0009-0008-8443-5461"]},"institutions":[{"id":"https://openalex.org/I178169726","display_name":"Southern Methodist University","ror":"https://ror.org/042tdr378","country_code":"US","type":"education","lineage":["https://openalex.org/I178169726"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Bhandari, Dipesh","raw_affiliation_strings":["Department of Physics , Southern Methodist University , Dallas , Texas 75275 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics , Southern Methodist University , Dallas , Texas 75275 , USA","institution_ids":["https://openalex.org/I178169726"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5040346968"],"corresponding_institution_ids":["https://openalex.org/I178169726"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.41819998621940613,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.41819998621940613,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.09529999643564224,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.08150000125169754,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/high-magnetic-field","display_name":"high magnetic fields","score":0.7870000004768372},{"id":"https://openalex.org/keywords/larmor-radius","display_name":"Larmor radius","score":0.925000011920929},{"id":"https://openalex.org/keywords/bounded-domains","display_name":"bounded domains","score":0.5720000267028809},{"id":"https://openalex.org/keywords/billiard-dynamics","display_name":"billiard dynamics","score":0.5400000214576721}],"concepts":[{"id":"https://openalex.org/C193605512","wikidata":"https://www.wikidata.org/wiki/Q2903467","display_name":"Dynamical billiards","level":2,"score":0.906000018119812},{"id":"https://openalex.org/C160343418","wikidata":"https://www.wikidata.org/wiki/Q185256","display_name":"Rigidity (electromagnetism)","level":2,"score":0.756600022315979},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6141999959945679},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.58160001039505},{"id":"https://openalex.org/C118381688","wikidata":"https://www.wikidata.org/wiki/Q1079524","display_name":"Specular reflection","level":2,"score":0.5705000162124634},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5425000190734863},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.47200000286102295},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.4661000072956085},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.45750001072883606},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4553999900817871},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3978999853134155},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.35100001096725464},{"id":"https://openalex.org/C65682993","wikidata":"https://www.wikidata.org/wiki/Q1056451","display_name":"Reflection (computer programming)","level":2,"score":0.34869998693466187},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.3474000096321106},{"id":"https://openalex.org/C91571402","wikidata":"https://www.wikidata.org/wiki/Q1194458","display_name":"Gyroradius","level":3,"score":0.32190001010894775},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.29739999771118164},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.288100004196167},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2842999994754791},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.27709999680519104},{"id":"https://openalex.org/C133978748","wikidata":"https://www.wikidata.org/wiki/Q15955882","display_name":"Reflection symmetry","level":2,"score":0.2639000117778778},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.2621999979019165}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.18937","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.18937","pdf_url":"https://arxiv.org/pdf/2609.18937","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.18937","doi":"https://doi.org/10.48550/arxiv.2609.18937","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.18937","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.18937","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.18937","pdf_url":"https://arxiv.org/pdf/2609.18937","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320314997","display_name":"Strong","ror":"https://ror.org/041vyzr56"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7213494430.pdf","grobid_xml":"https://content.openalex.org/works/W7213494430.grobid-xml"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W1988973985","https://openalex.org/W1997387407","https://openalex.org/W2151779444","https://openalex.org/W2327357199","https://openalex.org/W2742844930","https://openalex.org/W2788117408","https://openalex.org/W2798173719","https://openalex.org/W2963113291","https://openalex.org/W2963711960","https://openalex.org/W2999285627","https://openalex.org/W4414969852","https://openalex.org/W7129099925"],"related_works":["https://openalex.org/W2788117408","https://openalex.org/W2950273294","https://openalex.org/W2742844930","https://openalex.org/W3135558770","https://openalex.org/W2007162988","https://openalex.org/W3023833328","https://openalex.org/W4231360077","https://openalex.org/W4253645216","https://openalex.org/W2923770262","https://openalex.org/W2949614359"],"abstract_inverted_index":{"Let":[0],"$\u03a9\\subset\\mathbb":[1],"R^2$":[2],"be":[3,19],"a":[4,11,24],"bounded":[5],"domain":[6],"whose":[7],"boundary":[8],"$\u03b3$":[9],"is":[10],"smooth":[12],"simple":[13],"closed":[14],"curve,":[15],"and":[16],"let":[17],"$r=|B|^{-1}$":[18],"the":[20],"Larmor":[21],"radius":[22],"of":[23],"constant":[25],"magnetic":[26],"field.":[27],"Assume":[28],"$$":[29],"0":[30]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-09-18T00:00:00"}