{"id":"https://openalex.org/W7220893250","doi":"https://doi.org/10.48550/arxiv.2610.08685","title":"Characterizing stochastic inertia: when does noise increase escape times?","display_name":"Characterizing stochastic inertia: when does noise increase escape times?","publication_year":2026,"publication_date":"2026-10-06","ids":{"openalex":"https://openalex.org/W7220893250","doi":"https://doi.org/10.48550/arxiv.2610.08685"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.08685","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.08685","pdf_url":"https://arxiv.org/pdf/2610.08685","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/2610.08685","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081816251","display_name":"Robin Chemnitz","orcid":"https://orcid.org/0009-0003-6633-6383","observed_orcids":["https://orcid.org/0009-0003-6633-6383"]},"institutions":[{"id":"https://openalex.org/I114832834","display_name":"Tulane University","ror":"https://ror.org/04vmvtb21","country_code":"US","type":"education","lineage":["https://openalex.org/I114832834"]},{"id":"https://openalex.org/I75951250","display_name":"Freie Universit\u00e4t Berlin","ror":"https://ror.org/046ak2485","country_code":"DE","type":"education","lineage":["https://openalex.org/I75951250"]}],"countries":["DE","US"],"is_corresponding":false,"raw_author_name":"Chemnitz, Robin","raw_affiliation_strings":["Freie Universit\u00e4t Berlin","Tulane University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Freie Universit\u00e4t Berlin","institution_ids":["https://openalex.org/I75951250"]},{"raw_affiliation_string":"Tulane University","institution_ids":["https://openalex.org/I114832834"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003876135","display_name":"Maximilian Engel","orcid":"https://orcid.org/0000-0002-1406-8052","observed_orcids":["https://orcid.org/0000-0002-1406-8052"]},"institutions":[{"id":"https://openalex.org/I75951250","display_name":"Freie Universit\u00e4t Berlin","ror":"https://ror.org/046ak2485","country_code":"DE","type":"education","lineage":["https://openalex.org/I75951250"]},{"id":"https://openalex.org/I887064364","display_name":"University of Amsterdam","ror":"https://ror.org/04dkp9463","country_code":"NL","type":"education","lineage":["https://openalex.org/I887064364"]}],"countries":["DE","NL"],"is_corresponding":false,"raw_author_name":"Engel, Maximilian","raw_affiliation_strings":["Freie Universit\u00e4t Berlin","University of Amsterdam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Freie Universit\u00e4t Berlin","institution_ids":["https://openalex.org/I75951250"]},{"raw_affiliation_string":"University of Amsterdam","institution_ids":["https://openalex.org/I887064364"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021278553","display_name":"P\u00e9ter Koltai","orcid":"https://orcid.org/0000-0002-8127-6804","observed_orcids":["https://orcid.org/0000-0002-8127-6804"]},"institutions":[{"id":"https://openalex.org/I54009628","display_name":"University of Bayreuth","ror":"https://ror.org/0234wmv40","country_code":"DE","type":"education","lineage":["https://openalex.org/I54009628"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Koltai, P\u00e9ter","raw_affiliation_strings":["Universit\u00e4t Bayreuth"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e4t Bayreuth","institution_ids":["https://openalex.org/I54009628"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.8604000210762024,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.8604000210762024,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.06400000303983688,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.0430000014603138,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/escape-time","display_name":"escape time","score":0.8679999709129333},{"id":"https://openalex.org/keywords/small-noise","display_name":"small noise","score":0.5400000214576721},{"id":"https://openalex.org/keywords/stochastic-differential-equations","display_name":"stochastic differential equations","score":0.9769999980926514},{"id":"https://openalex.org/keywords/zero-noise-limit","display_name":"zero-noise limit","score":0.6389999985694885},{"id":"https://openalex.org/keywords/saddle-points","display_name":"saddle points","score":0.6489999890327454},{"id":"https://openalex.org/keywords/relaxation-oscillator","display_name":"relaxation oscillator","score":0.996999979019165},{"id":"https://openalex.org/keywords/freidlin-wentzell-theory","display_name":"Freidlin-Wentzell theory","score":0.8640000224113464},{"id":"https://openalex.org/keywords/atmospheric-modeling","display_name":"atmospheric modeling","score":0.38199999928474426}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6866000294685364},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.631600022315979},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.47369998693466187},{"id":"https://openalex.org/C139676723","wikidata":"https://www.wikidata.org/wiki/Q1193832","display_name":"Sign (mathematics)","level":2,"score":0.4569999873638153},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42640000581741333},{"id":"https://openalex.org/C2777127463","wikidata":"https://www.wikidata.org/wiki/Q10862618","display_name":"Saddle","level":2,"score":0.4250999987125397},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.3815999925136566},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3776000142097473},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.37689998745918274},{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.3702999949455261},{"id":"https://openalex.org/C110407247","wikidata":"https://www.wikidata.org/wiki/Q122508","display_name":"Inertia","level":2,"score":0.3684000074863434},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.3553999960422516},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.3368000090122223},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.3271999955177307},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.32339999079704285},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.3102000057697296},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.3093999922275543},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.30410000681877136},{"id":"https://openalex.org/C207658827","wikidata":"https://www.wikidata.org/wiki/Q1999781","display_name":"Stochastic resonance","level":4,"score":0.29190000891685486},{"id":"https://openalex.org/C127491075","wikidata":"https://www.wikidata.org/wiki/Q7617825","display_name":"Stochastic modelling","level":2,"score":0.28529998660087585},{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.2824999988079071},{"id":"https://openalex.org/C41479618","wikidata":"https://www.wikidata.org/wiki/Q3883775","display_name":"Local time","level":2,"score":0.27790001034736633},{"id":"https://openalex.org/C118733216","wikidata":"https://www.wikidata.org/wiki/Q332504","display_name":"Absolute continuity","level":2,"score":0.266400009393692},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.2614000141620636},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.26080000400543213},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.25870001316070557},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.25699999928474426},{"id":"https://openalex.org/C73586568","wikidata":"https://www.wikidata.org/wiki/Q2600211","display_name":"Parameter space","level":2,"score":0.25380000472068787}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.08685","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.08685","pdf_url":"https://arxiv.org/pdf/2610.08685","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.2610.08685","doi":"https://doi.org/10.48550/arxiv.2610.08685","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.08685","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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.08685","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.08685","pdf_url":"https://arxiv.org/pdf/2610.08685","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":[{"id":"https://openalex.org/G4274372172","display_name":"SFB 1114: Skalenkaskaden in komplexen Systemen","funder_award_id":"235221301","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G5438780437","display_name":null,"funder_award_id":"Project A08","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G651204332","display_name":null,"funder_award_id":"CRC  1114 ","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320321800","display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","ror":"https://ror.org/04jsz6e67"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7220893250.pdf","grobid_xml":"https://content.openalex.org/works/W7220893250.grobid-xml"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W7159624872"],"related_works":["https://openalex.org/W7159624872","https://openalex.org/W7135178542","https://openalex.org/W2963464796","https://openalex.org/W1987086403","https://openalex.org/W2906086990","https://openalex.org/W1828569963","https://openalex.org/W7053075859","https://openalex.org/W1576031291","https://openalex.org/W2592646148","https://openalex.org/W4321600620"],"abstract_inverted_index":{"Motivated":[0],"by":[1,122],"observations":[2],"in":[3,13,24,33,137],"atmospheric":[4],"modelling,":[5],"we":[6,47,81],"investigate":[7],"the":[8,34,43,62,88,93,118,131,138,147],"effect":[9],"of":[10,29,64,72,92,102,108,124,140],"``stochastic":[11],"inertia'':":[12],"certain":[14],"dynamical":[15],"systems,":[16],"small":[17],"noise":[18,90],"induces":[19],"trajectories":[20,54],"to":[21,116],"stay":[22],"longer":[23],"a":[25,58],"dynamically":[26],"critical":[27],"subset":[28],"state":[30],"space":[31],"than":[32],"purely":[35],"deterministic":[36,53],"situation.":[37],"Under":[38],"mild":[39],"general":[40],"assumptions":[41],"on":[42],"stochastic":[44,65,134],"differential":[45],"equation,":[46],"derive":[48],"an":[49,113,141],"integral":[50,85,119],"formula":[51,86,104,120],"along":[52],"whose":[55],"sign":[56],"provides":[57],"sufficient":[59],"condition":[60],"for":[61],"occurrence":[63],"inertia.":[66],"Excluding":[67],"situations":[68],"with":[69],"open":[70],"sets":[71],"infinite":[73],"escape":[74,95,148],"times":[75],"and":[76,105,127],"assuming":[77],"uniformly":[78],"elliptic":[79],"diffusion,":[80],"additionally":[82],"identify":[83],"this":[84],"as":[87],"zero":[89],"derivative":[91],"average":[94],"time.":[96],"The":[97],"proofs":[98],"make":[99],"crucial":[100],"use":[101],"Dynkin's":[103],"suitable":[106],"adaptations":[107],"Freidlin--Wentzell":[109],"theory.":[110],"We":[111],"present":[112],"algorithmic":[114],"approach":[115],"compute":[117],"and,":[121],"examples":[123],"saddle":[125],"points":[126],"relaxation":[128],"oscillators,":[129],"demonstrate":[130],"following":[132],"heuristic:":[133],"inertia":[135],"appears":[136],"presence":[139],"unstable":[142],"direction":[143],"that":[144],"predominantly":[145],"leads":[146],"dynamics.":[149]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-09T00:00:00"}
