{"id":"https://openalex.org/W2989836800","doi":"https://doi.org/10.1080/00029890.2019.1651166","title":"A Hot Spot Proof of the Generalized Wall Theorem","display_name":"A Hot Spot Proof of the Generalized Wall Theorem","publication_year":2019,"publication_date":"2019-11-20","ids":{"openalex":"https://openalex.org/W2989836800","doi":"https://doi.org/10.1080/00029890.2019.1651166","mag":"2989836800"},"language":"en","primary_location":{"id":"doi:10.1080/00029890.2019.1651166","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00029890.2019.1651166","pdf_url":null,"source":{"id":"https://openalex.org/S156280010","display_name":"American Mathematical Monthly","issn_l":"0002-9890","issn":["0002-9890","1930-0972"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"The American Mathematical Monthly","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/A5075299621","display_name":"Vitaly Bergelson","orcid":"https://orcid.org/0000-0001-9373-7527"},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vitaly Bergelson","raw_affiliation_strings":["The Ohio State University, Columbus, OH 43210, USA;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Ohio State University, Columbus, OH 43210, USA;","institution_ids":["https://openalex.org/I52357470"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053212528","display_name":"Joseph Vandehey","orcid":null},"institutions":[{"id":"https://openalex.org/I221716585","display_name":"The University of Texas at Tyler","ror":"https://ror.org/01azfw069","country_code":"US","type":"education","lineage":["https://openalex.org/I221716585"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Joseph Vandehey","raw_affiliation_strings":["The University of Texas at Tyler, Tyler, TX 75799, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The University of Texas at Tyler, Tyler, TX 75799, USA","institution_ids":["https://openalex.org/I221716585"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5053212528"],"corresponding_institution_ids":["https://openalex.org/I221716585"],"apc_list":null,"apc_paid":null,"fwci":0.6961,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.67199508,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"126","issue":"10","first_page":"876","last_page":"890"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9994000196456909,"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":0.9994000196456909,"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/T11567","display_name":"semigroups and automata theory","score":0.989300012588501,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9891999959945679,"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/hot-spot","display_name":"Hot spot (computer programming)","score":0.7322795391082764},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.498427152633667},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.426509827375412},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.31083613634109497},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.14858821034431458},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.1183115541934967}],"concepts":[{"id":"https://openalex.org/C199672914","wikidata":"https://www.wikidata.org/wiki/Q4241353","display_name":"Hot spot (computer programming)","level":2,"score":0.7322795391082764},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.498427152633667},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.426509827375412},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31083613634109497},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.14858821034431458},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.1183115541934967},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00029890.2019.1651166","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00029890.2019.1651166","pdf_url":null,"source":{"id":"https://openalex.org/S156280010","display_name":"American Mathematical Monthly","issn_l":"0002-9890","issn":["0002-9890","1930-0972"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"The American Mathematical Monthly","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W53153070","https://openalex.org/W566109589","https://openalex.org/W805104402","https://openalex.org/W1544094582","https://openalex.org/W1607458528","https://openalex.org/W1976927746","https://openalex.org/W2014106834","https://openalex.org/W2049367650","https://openalex.org/W2059537677","https://openalex.org/W2059735611","https://openalex.org/W2077055049","https://openalex.org/W2082647537","https://openalex.org/W2085544694","https://openalex.org/W2187202169","https://openalex.org/W2329023884","https://openalex.org/W2585680462","https://openalex.org/W2963090161","https://openalex.org/W4238159413","https://openalex.org/W4242358482"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W4304092003","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2042127053"],"abstract_inverted_index":{"If":[0],"a":[1,7,18,26,45,52],"sequence":[2],"of":[3,25,47,67],"numbers":[4],"behaves":[5],"like":[6,17],"random":[8,19],"sequence,":[9],"do":[10],"we":[11],"expect":[12],"subsequences":[13],"to":[14],"also":[15],"behave":[16],"sequence?":[20],"Wall":[21],"proved":[22],"that":[23,40,55],"normality":[24,61],"base-b":[27],"expansion":[28],"is":[29,39],"preserved":[30],"along":[31,57],"arithmetic":[32,36],"progressions.":[33],"What":[34],"makes":[35],"progressions":[37],"special":[38],"they":[41],"are":[42],"deterministic":[43,58,69],"sequences,":[44],"type":[46],"low-complexity":[48],"sequence.":[49],"We":[50],"give":[51],"self-contained":[53],"proof":[54],"selection":[56],"sequences":[59],"preserves":[60],"and":[62],"provide":[63],"several":[64],"interesting":[65],"examples":[66],"nontrivial":[68],"sequences.":[70]},"counts_by_year":[{"year":2022,"cited_by_count":2}],"updated_date":"2026-08-15T07:11:24.734988","created_date":"2025-10-10T00:00:00"}
