{"id":"https://openalex.org/W4408218975","doi":"https://doi.org/10.1017/jpr.2024.113","title":"The speed of a biased walk on a Galton\u2013Watson tree without leaves is monotonic for low values of bias","display_name":"The speed of a biased walk on a Galton\u2013Watson tree without leaves is monotonic for low values of bias","publication_year":2025,"publication_date":"2025-03-05","ids":{"openalex":"https://openalex.org/W4408218975","doi":"https://doi.org/10.1017/jpr.2024.113"},"language":"en","primary_location":{"id":"doi:10.1017/jpr.2024.113","is_oa":false,"landing_page_url":"https://doi.org/10.1017/jpr.2024.113","pdf_url":null,"source":{"id":"https://openalex.org/S160779208","display_name":"Journal of Applied Probability","issn_l":"0021-9002","issn":["0021-9002","1475-6072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Probability","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/A5054821521","display_name":"Song He","orcid":"https://orcid.org/0000-0002-2702-8914"},"institutions":[{"id":"https://openalex.org/I4210147117","display_name":"Huaiyin Normal University","ror":"https://ror.org/03xvggv44","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210147117"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"He Song","raw_affiliation_strings":["Huaiyin Normal University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Huaiyin Normal University","institution_ids":["https://openalex.org/I4210147117"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063677126","display_name":"Longmin Wang","orcid":"https://orcid.org/0000-0002-1741-9401"},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Longmin Wang","raw_affiliation_strings":["Nankai University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nankai University","institution_ids":["https://openalex.org/I205237279"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100809463","display_name":"Kainan Xiang","orcid":null},"institutions":[{"id":"https://openalex.org/I4610292","display_name":"Xiangtan University","ror":"https://ror.org/00xsfaz62","country_code":"CN","type":"education","lineage":["https://openalex.org/I4610292"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Kainan Xiang","raw_affiliation_strings":["Xiangtan University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Xiangtan University","institution_ids":["https://openalex.org/I4610292"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5054821521","https://openalex.org/A5063677126","https://openalex.org/A5100809463"],"corresponding_institution_ids":["https://openalex.org/I205237279","https://openalex.org/I4210147117","https://openalex.org/I4610292"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":2.0584,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.79210249,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"62","issue":"3","first_page":"1044","last_page":"1052"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9969000220298767,"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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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":0.8787790536880493},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.5980471968650818},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.5471377372741699},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.5388889312744141},{"id":"https://openalex.org/keywords/watson","display_name":"Watson","score":0.44859445095062256},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.35524022579193115},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15098854899406433},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09565368294715881},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.05727240443229675}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8787790536880493},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.5980471968650818},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.5471377372741699},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.5388889312744141},{"id":"https://openalex.org/C2776608531","wikidata":"https://www.wikidata.org/wiki/Q12253","display_name":"Watson","level":2,"score":0.44859445095062256},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.35524022579193115},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15098854899406433},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09565368294715881},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.05727240443229675}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/jpr.2024.113","is_oa":false,"landing_page_url":"https://doi.org/10.1017/jpr.2024.113","pdf_url":null,"source":{"id":"https://openalex.org/S160779208","display_name":"Journal of Applied Probability","issn_l":"0021-9002","issn":["0021-9002","1475-6072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Probability","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W121824094","https://openalex.org/W1581311127","https://openalex.org/W1966680551","https://openalex.org/W2007666529","https://openalex.org/W2010870233","https://openalex.org/W2034975570","https://openalex.org/W2042675256","https://openalex.org/W2117700658","https://openalex.org/W2122054976","https://openalex.org/W2143360791","https://openalex.org/W2144834359","https://openalex.org/W2168007239","https://openalex.org/W2593656064","https://openalex.org/W4399640268","https://openalex.org/W6641815651"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2151363515","https://openalex.org/W2902037120","https://openalex.org/W3174693904","https://openalex.org/W2313409890","https://openalex.org/W2244083478","https://openalex.org/W4232759540","https://openalex.org/W2560584003","https://openalex.org/W2119897479","https://openalex.org/W2137350811"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"show":[2],"that":[3],"for":[4],"$\\lambda\\in[0,{m_1}/({1+\\sqrt{1-{1}/{m_1}}})]$":[5],",":[6],"the":[7,28,32],"biased":[8],"random":[9],"walk\u2019s":[10],"speed":[11,33],"on":[12,34],"a":[13,35],"Galton\u2013Watson":[14,36],"tree":[15],"without":[16],"leaves":[17],"is":[18],"strictly":[19],"decreasing,":[20],"where":[21],"$m_1\\geq":[22],"2$":[23],".":[24],"Our":[25],"result":[26],"extends":[27],"monotonic":[29],"interval":[30],"of":[31],"tree.":[37]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
