{"id":"https://openalex.org/W2084809802","doi":"https://doi.org/10.1080/10586458.2009.10129054","title":"Teichons: Solitonlike Geodesics on Universal Teichm\u00fcller Space","display_name":"Teichons: Solitonlike Geodesics on Universal Teichm\u00fcller Space","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2084809802","doi":"https://doi.org/10.1080/10586458.2009.10129054","mag":"2084809802"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2009.10129054","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2009.10129054","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065661444","display_name":"Sergey Kushnarev","orcid":"https://orcid.org/0000-0003-2444-9331"},"institutions":[{"id":"https://openalex.org/I27804330","display_name":"Brown University","ror":"https://ror.org/05gq02987","country_code":"US","type":"education","lineage":["https://openalex.org/I27804330"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Sergey Kushnarev","raw_affiliation_strings":["Division of Applied Mathematics, Brown University, Providence, RI 02912","Division of Applied Mathematics, Brown University, Providence, RI 02912.#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Applied Mathematics, Brown University, Providence, RI 02912","institution_ids":["https://openalex.org/I27804330"]},{"raw_affiliation_string":"Division of Applied Mathematics, Brown University, Providence, RI 02912.#TAB#","institution_ids":["https://openalex.org/I27804330"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5065661444"],"corresponding_institution_ids":["https://openalex.org/I27804330"],"apc_list":null,"apc_paid":null,"fwci":0.8989,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.7465592,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"18","issue":"3","first_page":"325","last_page":"336"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10025","display_name":"Black Holes and Theoretical Physics","score":0.9768999814987183,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12351","display_name":"Geometry and complex manifolds","score":0.9697999954223633,"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/mathematics","display_name":"Mathematics","score":0.8786852359771729},{"id":"https://openalex.org/keywords/coset","display_name":"Coset","score":0.6428371667861938},{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.6052564382553101},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.5642398595809937},{"id":"https://openalex.org/keywords/teichm\u00fcller-space","display_name":"Teichm\u00fcller space","score":0.5521798729896545},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5501722097396851},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5432385802268982},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5174758434295654},{"id":"https://openalex.org/keywords/moduli-space","display_name":"Moduli space","score":0.48133978247642517},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.43794625997543335},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.18804219365119934},{"id":"https://openalex.org/keywords/riemann-surface","display_name":"Riemann surface","score":0.10918691754341125}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8786852359771729},{"id":"https://openalex.org/C85307737","wikidata":"https://www.wikidata.org/wiki/Q751969","display_name":"Coset","level":2,"score":0.6428371667861938},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.6052564382553101},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.5642398595809937},{"id":"https://openalex.org/C91066650","wikidata":"https://www.wikidata.org/wiki/Q2400539","display_name":"Teichm\u00fcller space","level":3,"score":0.5521798729896545},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5501722097396851},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5432385802268982},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5174758434295654},{"id":"https://openalex.org/C73373263","wikidata":"https://www.wikidata.org/wiki/Q845677","display_name":"Moduli space","level":2,"score":0.48133978247642517},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.43794625997543335},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.18804219365119934},{"id":"https://openalex.org/C18556879","wikidata":"https://www.wikidata.org/wiki/Q753035","display_name":"Riemann surface","level":2,"score":0.10918691754341125},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/10586458.2009.10129054","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2009.10129054","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.em/1259158469","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.em/1259158469","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"","raw_type":"Text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W640760328","https://openalex.org/W1544770838","https://openalex.org/W1949248870","https://openalex.org/W1963868735","https://openalex.org/W1994088960","https://openalex.org/W2026031976","https://openalex.org/W2066193516","https://openalex.org/W2078594476","https://openalex.org/W2137550369","https://openalex.org/W2265186863","https://openalex.org/W3163100926"],"related_works":["https://openalex.org/W3096721566","https://openalex.org/W4388514491","https://openalex.org/W2222311644","https://openalex.org/W2269101843","https://openalex.org/W2950666330","https://openalex.org/W1977343622","https://openalex.org/W2001550664","https://openalex.org/W2735061738","https://openalex.org/W2520804323","https://openalex.org/W617453749"],"abstract_inverted_index":{"This":[0,25],"paper":[1,95],"studies":[2],"EPDiff(S":[3,51],"1),":[4],"the":[5,14,18,31,40,62,81,98,101,117,120],"Euler\u2013Poincar\u00e9":[6],"equation":[7,72],"for":[8,122],"diffeomorphisms":[9],"of":[10,42,56,70,77,83,111,119,149],"S":[11],"1,":[12],"with":[13,154],"Weil\u2013Petersson":[15],"metric":[16],"on":[17,128,152],"coset":[19,26],"space":[20,27,41,82],"PSL2(\u211d)":[21],"\\":[22],"Diff(S":[23,142],"1).":[24,143],"is":[28,65,106,135],"known":[29],"as":[30,39,78,108],"universal":[32],"Teichm\u00fcller":[33],"space.":[34],"It":[35],"has":[36],"another":[37],"realization":[38],"smooth":[43],"simple":[44,84],"closed":[45,85],"curves":[46,87],"modulo":[47],"translations":[48],"and":[49,125,158],"scalings.":[50],"1)":[52],"admits":[53],"a":[54,66,90,109,138,147],"class":[55],"solitonlike":[57],"solutions":[58,69],"(teichons)":[59],"in":[60,80,100,141],"which":[61],"\"momentum\"":[63],"m":[64,105],"distribution.":[67],"The":[68],"this":[71,94],"can":[73],"also":[74],"be":[75],"thought":[76],"paths":[79],"plane":[86],"that":[88,104,133],"minimize":[89],"certain":[91],"energy.":[92],"In":[93],"we":[96],"study":[97],"solution":[99,121],"special":[102],"case":[103],"expressed":[107],"sum":[110],"four":[112],"delta":[113,156],"functions.":[114],"We":[115,144],"prove":[116],"existence":[118],"infinite":[123],"time":[124],"find":[126],"bounds":[127],"its":[129],"long-term":[130],"behavior,":[131],"showing":[132],"it":[134],"asymptotic":[136],"to":[137],"one-parameter":[139],"subgroup":[140],"then":[145],"present":[146],"series":[148],"numerical":[150],"experiments":[151],"solitons":[153],"more":[155],"functions":[157],"make":[159],"some":[160],"conjectures":[161],"about":[162],"these.":[163]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2026-08-15T07:11:24.734988","created_date":"2025-10-10T00:00:00"}