{"id":"https://openalex.org/W7169566239","doi":"https://doi.org/10.1007/s00440-026-01515-8","title":"Superdiffusive central limit theorem for a class of driven diffusive systems at the critical dimension","display_name":"Superdiffusive central limit theorem for a class of driven diffusive systems at the critical dimension","publication_year":2026,"publication_date":"2026-07-15","ids":{"openalex":"https://openalex.org/W7169566239","doi":"https://doi.org/10.1007/s00440-026-01515-8","pmid":"https://pubmed.ncbi.nlm.nih.gov/42964475","pmcid":"https://www.ncbi.nlm.nih.gov/pmc/articles/13719755"},"language":"en","primary_location":{"id":"doi:10.1007/s00440-026-01515-8","doi":"https://doi.org/10.1007/s00440-026-01515-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00440-026-01515-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00440-026-01515-8.pdf","source":{"id":"https://openalex.org/S105693234","display_name":"Probability Theory and Related Fields","issn_l":"0178-8051","issn":["0178-8051","1432-2064"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a-star","anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-3","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Probability Theory and Related Fields","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite","pubmed"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00440-026-01515-8.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015287884","display_name":"Giuseppe Cannizzaro","orcid":"https://orcid.org/0000-0003-1116-4169","observed_orcids":["https://orcid.org/0000-0003-1116-4169"]},"institutions":[{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Giuseppe Cannizzaro","raw_affiliation_strings":["University of Warwick, Coventry, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Warwick, Coventry, UK","institution_ids":["https://openalex.org/I39555362"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000673479","display_name":"Tom Klose","orcid":"https://orcid.org/0000-0001-7102-6994","observed_orcids":["https://orcid.org/0000-0001-7102-6994"]},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Tom Klose","raw_affiliation_strings":["University of Oxford, Oxford, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Oxford, Oxford, UK","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5115756469","display_name":"Quentin Moulard","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Quentin Moulard","raw_affiliation_strings":["Technical University of Vienna, Vienna, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technical University of Vienna, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5015287884"],"corresponding_institution_ids":["https://openalex.org/I39555362"],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":{"value":3090,"currency":"USD","value_usd":3090},"fwci":9.1387,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.9835463,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"196","issue":"5-6","first_page":"2167","last_page":"2222"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9887999892234802,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9887999892234802,"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/T10591","display_name":"Theoretical and Computational Physics","score":0.0013000000035390258,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter 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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.0010000000474974513,"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/superdiffusion","display_name":"superdiffusion","score":0.8169999718666077},{"id":"https://openalex.org/keywords/central-limit-theorem","display_name":"central limit theorem","score":0.9300000071525574},{"id":"https://openalex.org/keywords/driven-diffusive-systems","display_name":"driven diffusive systems","score":0.9729999899864197},{"id":"https://openalex.org/keywords/stochastic-burgers-equation","display_name":"stochastic Burgers equation","score":0.9409999847412109},{"id":"https://openalex.org/keywords/critical-dimension","display_name":"critical dimension","score":0.8180000185966492},{"id":"https://openalex.org/keywords/gaussian-fixed-point","display_name":"Gaussian fixed point","score":0.7329999804496765},{"id":"https://openalex.org/keywords/universality","display_name":"universality","score":0.8320000171661377},{"id":"https://openalex.org/keywords/non-equilibrium-systems","display_name":"nonequilibrium systems","score":0.949999988079071},{"id":"https://openalex.org/keywords/resolvent-estimates","display_name":"resolvent estimates","score":0.6359999775886536},{"id":"https://openalex.org/keywords/renormalization","display_name":"renormalization","score":0.4729999899864197}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8406000137329102},{"id":"https://openalex.org/C196267783","wikidata":"https://www.wikidata.org/wiki/Q4392490","display_name":"Resolvent","level":2,"score":0.6209999918937683},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6065000295639038},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5526000261306763},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5152999758720398},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4399999976158142},{"id":"https://openalex.org/C129747778","wikidata":"https://www.wikidata.org/wiki/Q1014918","display_name":"Burgers' equation","level":3,"score":0.43149998784065247},{"id":"https://openalex.org/C207789793","wikidata":"https://www.wikidata.org/wiki/Q3028070","display_name":"Critical dimension","level":2,"score":0.4268999993801117},{"id":"https://openalex.org/C196298200","wikidata":"https://www.wikidata.org/wiki/Q577705","display_name":"Critical point (mathematics)","level":2,"score":0.42660000920295715},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41690000891685486},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.40540000796318054},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.3993000090122223},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.3921000063419342},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.3905999958515167},{"id":"https://openalex.org/C195956108","wikidata":"https://www.wikidata.org/wiki/Q7268362","display_name":"Quadratic growth","level":2,"score":0.3677000105381012},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.35350000858306885},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3515999913215637},{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.3452000021934509},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.34139999747276306},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.33079999685287476},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.30140000581741333},{"id":"https://openalex.org/C75438885","wikidata":"https://www.wikidata.org/wiki/Q3403615","display_name":"Large deviations theory","level":2,"score":0.2973000109195709},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.28690001368522644},{"id":"https://openalex.org/C84629840","wikidata":"https://www.wikidata.org/wiki/Q16979017","display_name":"Stochastic partial differential equation","level":3,"score":0.2863999903202057},{"id":"https://openalex.org/C2778114796","wikidata":"https://www.wikidata.org/wiki/Q7575194","display_name":"Spectral gap","level":2,"score":0.2840000092983246},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.2800999879837036},{"id":"https://openalex.org/C194807282","wikidata":"https://www.wikidata.org/wiki/Q900634","display_name":"Critical phenomena","level":3,"score":0.27309998869895935},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.2721000015735626},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.2718000113964081},{"id":"https://openalex.org/C161794534","wikidata":"https://www.wikidata.org/wiki/Q177493","display_name":"Gauss","level":2,"score":0.2705000042915344},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.266400009393692},{"id":"https://openalex.org/C93373587","wikidata":"https://www.wikidata.org/wiki/Q335632","display_name":"Mathematical finance","level":2,"score":0.259799987077713},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.2526000142097473},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.2513999938964844}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s00440-026-01515-8","doi":"https://doi.org/10.1007/s00440-026-01515-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00440-026-01515-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00440-026-01515-8.pdf","source":{"id":"https://openalex.org/S105693234","display_name":"Probability Theory and Related Fields","issn_l":"0178-8051","issn":["0178-8051","1432-2064"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a-star","anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-3","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Probability Theory and Related Fields","raw_type":"journal-article"},{"id":"pmid:42964475","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/42964475","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Probability theory and related fields","raw_type":"Journal Article"},{"id":"pmh:oai:pubmedcentral.nih.gov:13719755","doi":null,"is_oa":true,"landing_page_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC13719755/","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Probab Theory Relat Fields","raw_type":"Text"},{"id":"pmh:oai:arXiv.org:2601.05945","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2601.05945","pdf_url":"https://arxiv.org/pdf/2601.05945","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2601.05945","doi":"https://doi.org/10.48550/arxiv.2601.05945","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2601.05945","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1007/s00440-026-01515-8","doi":"https://doi.org/10.1007/s00440-026-01515-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00440-026-01515-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00440-026-01515-8.pdf","source":{"id":"https://openalex.org/S105693234","display_name":"Probability Theory and Related Fields","issn_l":"0178-8051","issn":["0178-8051","1432-2064"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a-star","anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-3","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Probability Theory and Related Fields","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G2367598221","display_name":"Discrete random structures: enumeration and scaling limits","funder_award_id":"F 1002","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G6345726908","display_name":null,"funder_award_id":"MR/W008246/1","funder_id":"https://openalex.org/F4320314731","funder_display_name":"UK Research and Innovation"},{"id":"https://openalex.org/G8590477180","display_name":null,"funder_award_id":"10.55776","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G9000308504","display_name":null,"funder_award_id":"10.55776/F1002","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"}],"funders":[{"id":"https://openalex.org/F4320314731","display_name":"UK Research and Innovation","ror":"https://ror.org/001aqnf71"},{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"},{"id":"https://openalex.org/F4320334322","display_name":"HORIZON EUROPE Framework Programme","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7169566239.pdf","grobid_xml":"https://content.openalex.org/works/W7169566239.grobid-xml"},"referenced_works_count":58,"referenced_works":["https://openalex.org/W276796924","https://openalex.org/W1600015713","https://openalex.org/W1964095740","https://openalex.org/W1996561390","https://openalex.org/W2036377645","https://openalex.org/W2043421208","https://openalex.org/W2049350173","https://openalex.org/W2073205557","https://openalex.org/W2087496472","https://openalex.org/W2114553774","https://openalex.org/W2117259115","https://openalex.org/W2131099969","https://openalex.org/W2148818026","https://openalex.org/W2152132117","https://openalex.org/W2213801215","https://openalex.org/W2222840913","https://openalex.org/W2254952434","https://openalex.org/W2770068012","https://openalex.org/W2791161019","https://openalex.org/W2890254977","https://openalex.org/W2898608407","https://openalex.org/W2904071256","https://openalex.org/W2950416327","https://openalex.org/W2963203640","https://openalex.org/W2963698564","https://openalex.org/W2964112165","https://openalex.org/W2964133150","https://openalex.org/W2977474616","https://openalex.org/W2990404381","https://openalex.org/W3037608225","https://openalex.org/W3043949827","https://openalex.org/W3049657609","https://openalex.org/W3092261719","https://openalex.org/W3093407997","https://openalex.org/W3121378486","https://openalex.org/W3194680709","https://openalex.org/W3196501854","https://openalex.org/W3206060851","https://openalex.org/W4293483447","https://openalex.org/W4307279397","https://openalex.org/W4312181545","https://openalex.org/W4318196610","https://openalex.org/W4392737266","https://openalex.org/W4392961657","https://openalex.org/W4393741148","https://openalex.org/W4401451286","https://openalex.org/W4403627922","https://openalex.org/W4403996115","https://openalex.org/W4405292719","https://openalex.org/W4406031144","https://openalex.org/W4407558172","https://openalex.org/W4409748598","https://openalex.org/W4412141337","https://openalex.org/W4415055432","https://openalex.org/W4415334701","https://openalex.org/W4417086784","https://openalex.org/W7140074166","https://openalex.org/W7170075382"],"related_works":["https://openalex.org/W7220962884","https://openalex.org/W4394782001","https://openalex.org/W7221813809","https://openalex.org/W4405292719","https://openalex.org/W7223618624","https://openalex.org/W4365460795","https://openalex.org/W4392961657","https://openalex.org/W7221760829","https://openalex.org/W4393178127","https://openalex.org/W6963036117"],"abstract_inverted_index":{"We":[0],"study":[1],"the":[2,19,28,50,68,82,87,113,121,138,152,157,162,165,173,179,183,192,196,199],"large-scale":[3],"behaviour":[4],"of":[5,8,86,106,124,130,164,175,182,198],"a":[6,14,41,188],"class":[7],"driven":[9],"diffusive":[10],"systems":[11,119],"modelled":[12],"by":[13,49],"Stochastic":[15,20],"Partial":[16],"Differential":[17],"Equation,":[18],"Burgers":[21],"Equation":[22],"(SBE)":[23],"with":[24,72],"general":[25],"nonlinearity,":[26],"at":[27],"critical":[29,139],"dimension":[30,140],"and":[31,79,120,141],"in":[32,57,89,148],"infinite":[33],"volume.":[34],"Our":[35],"main":[36],"result":[37,116],"shows":[38],"that,":[39],"under":[40],"logarithmically":[42],"superdiffusive":[43],"space-time":[44],"scaling,":[45],"it":[46],"is":[47,112,151],"given":[48],"same":[51],"explicit":[52],"Gaussian":[53],"Fixed":[54],"point":[55],"obtained":[56],"[G.":[58],"Cannizzaro,":[59],"Q.":[60],"Moulard,":[61],"&":[62,95],"F.":[63],"Toninelli,":[64],"https://arxiv.org/abs/2501.00344,":[65],"2025]":[66],"for":[67,117,191],"quadratic":[69,200],"SBE,":[70],"but":[71],"suitably":[73],"renormalised":[74],"coefficients,":[75],"thereby":[76],"rigorously":[77],"justifying":[78],"partly":[80],"correcting":[81],"classical":[83],"Physics":[84],"derivation":[85,174],"SBE":[88],"[H.":[90],"van":[91],"Beijeren,":[92],"R.":[93],"Kutner,":[94],"H.":[96],"Spohn,":[97],"Phys.":[98],"Rev.":[99],"Lett.,":[100],"1986]":[101],"based":[102],"on":[103,156,178],"Spohn's":[104],"theory":[105],"nonlinear":[107],"fluctuating":[108],"hydrodynamics.":[109],"Besides,":[110],"ours":[111],"first":[114,122],"universality-type":[115],"out-of-equilibrium":[118],"extension":[123],"[M.":[125],"Hairer,":[126],"J.":[127],"Quastel,":[128],"Forum":[129],"Mathematics,":[131],"Pi,":[132],"Vol.":[133],"6,":[134],"2018,":[135],"e3],":[136],"to":[137,195],"beyond":[142],"weak":[143],"coupling.":[144],"The":[145],"major":[146],"challenge":[147],"our":[149],"work":[150],"mild":[153],"growth":[154],"condition":[155],"nonlinearity":[158],"which":[159],"renders":[160],"even":[161],"well-posedness":[163],"microscopic":[166],"equation":[167],"non-trivial.":[168],"Additional":[169],"key":[170],"novelties":[171],"include":[172],"fine":[176],"estimates":[177],"non-quadratic":[180],"part":[181],"generator":[184],"as":[185,187],"well":[186],"new":[189],"approximation":[190],"resolvent":[193],"associated":[194],"solution":[197],"SBE.":[201]},"counts_by_year":[{"year":2026,"cited_by_count":5}],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-07-18T00:00:00"}
