Publication Information

{'id': 'https://openalex.org/W2188237673', 'doi': 'https://doi.org/10.1017/etds.2016.67', 'title': 'Integer part polynomial correlation sequences', 'display_name': 'Integer part polynomial correlation sequences', 'publication_year': 2016, 'publication_date': '2016-09-19', 'ids': {'openalex': 'https://openalex.org/W2188237673', 'doi': 'https://doi.org/10.1017/etds.2016.67', 'mag': '2188237673'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1017/etds.2016.67', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S14709335', 'display_name': 'Ergodic Theory and Dynamical Systems', 'issn_l': '0143-3857', 'issn': ['0143-3857', '1469-4417'], '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': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['arxiv', 'crossref', 'datacite'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': 'https://arxiv.org/pdf/1512.01313', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5029982627', 'display_name': 'Andreas Koutsogiannis', 'orcid': 'https://orcid.org/0000-0001-7464-9230'}, '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': True, 'raw_author_name': 'ANDREAS KOUTSOGIANNIS', 'raw_affiliation_strings': ['The Ohio State University, Department of Mathematics, Columbus, OH, USA email'], 'affiliations': [{'raw_affiliation_string': 'The Ohio State University, Department of Mathematics, Columbus, OH, USA email', 'institution_ids': ['https://openalex.org/I52357470']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5029982627'], 'corresponding_institution_ids': ['https://openalex.org/I52357470'], 'apc_list': None, 'apc_paid': None, 'fwci': 1.122, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 12, 'citation_normalized_percentile': {'value': 0.933095, 'is_in_top_1_percent': False, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 87, 'max': 88}, 'biblio': {'volume': '38', 'issue': '4', 'first_page': '1525', 'last_page': '1542'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10588', 'display_name': 'Mathematical Dynamics and Fractals', 'score': 0.9998, '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': 0.9998, '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/T11329', 'display_name': 'Limits and Structures in Graph Theory', 'score': 0.9989, 'subfield': {'id': 'https://openalex.org/subfields/2607', 'display_name': 'Discrete Mathematics and Combinatorics'}, '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/T11151', 'display_name': 'Advanced Topology and Set Theory', 'score': 0.9975, '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/iterated-function', 'display_name': 'Iterated function', 'score': 0.78360033}, {'id': 'https://openalex.org/keywords/sequence', 'display_name': 'Sequence (biology)', 'score': 0.66860074}, {'id': 'https://openalex.org/keywords/zero', 'display_name': 'Zero (linguistics)', 'score': 0.62976146}], 'concepts': [{'id': 'https://openalex.org/C140479938', 'wikidata': 'https://www.wikidata.org/wiki/Q5254619', 'display_name': 'Iterated function', 'level': 2, 'score': 0.78360033}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.7789197}, {'id': 'https://openalex.org/C97137487', 'wikidata': 'https://www.wikidata.org/wiki/Q729138', 'display_name': 'Integer (computer science)', 'level': 2, 'score': 0.74235183}, {'id': 'https://openalex.org/C96442724', 'wikidata': 'https://www.wikidata.org/wiki/Q242188', 'display_name': 'Invertible matrix', 'level': 2, 'score': 0.72131705}, {'id': 'https://openalex.org/C122044880', 'wikidata': 'https://www.wikidata.org/wiki/Q5498822', 'display_name': 'Ergodic theory', 'level': 2, 'score': 0.71458894}, {'id': 'https://openalex.org/C151201525', 'wikidata': 'https://www.wikidata.org/wiki/Q177239', 'display_name': 'Limit (mathematics)', 'level': 2, 'score': 0.70161426}, {'id': 'https://openalex.org/C2778112365', 'wikidata': 'https://www.wikidata.org/wiki/Q3511065', 'display_name': 'Sequence (biology)', 'level': 2, 'score': 0.66860074}, {'id': 'https://openalex.org/C90119067', 'wikidata': 'https://www.wikidata.org/wiki/Q43260', 'display_name': 'Polynomial', 'level': 2, 'score': 0.6343628}, {'id': 'https://openalex.org/C2780813799', 'wikidata': 'https://www.wikidata.org/wiki/Q3274237', 'display_name': 'Zero (linguistics)', 'level': 2, 'score': 0.62976146}, {'id': 'https://openalex.org/C2780009758', 'wikidata': 'https://www.wikidata.org/wiki/Q6804172', 'display_name': 'Measure (data warehouse)', 'level': 2, 'score': 0.5533952}, {'id': 'https://openalex.org/C118615104', 'wikidata': 'https://www.wikidata.org/wiki/Q121416', 'display_name': 'Discrete mathematics', 'level': 1, 'score': 0.45618832}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.41983518}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.27908403}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.10147357}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.07988104}, {'id': 'https://openalex.org/C199360897', 'wikidata': 'https://www.wikidata.org/wiki/Q9143', 'display_name': 'Programming language', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C41895202', 'wikidata': 'https://www.wikidata.org/wiki/Q8162', 'display_name': 'Linguistics', '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}, {'id': 'https://openalex.org/C77088390', 'wikidata': 'https://www.wikidata.org/wiki/Q8513', 'display_name': 'Database', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C86803240', 'wikidata': 'https://www.wikidata.org/wiki/Q420', 'display_name': 'Biology', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C54355233', 'wikidata': 'https://www.wikidata.org/wiki/Q7162', 'display_name': 'Genetics', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 3, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1017/etds.2016.67', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S14709335', 'display_name': 'Ergodic Theory and Dynamical Systems', 'issn_l': '0143-3857', 'issn': ['0143-3857', '1469-4417'], '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': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1512.01313', 'pdf_url': 'https://arxiv.org/pdf/1512.01313', 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, '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': ['Cornell University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': False, 'landing_page_url': 'https://api.datacite.org/dois/10.48550/arxiv.1512.01313', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4393179698', 'display_name': 'DataCite API', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I4210145204', 'host_organization_name': 'DataCite', 'host_organization_lineage': ['https://openalex.org/I4210145204'], 'host_organization_lineage_names': ['DataCite'], 'type': 'metadata'}, 'license': None, 'license_id': None, 'version': None}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1512.01313', 'pdf_url': 'https://arxiv.org/pdf/1512.01313', 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, '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': ['Cornell University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': ['https://openalex.org/W2188237673', 'https://openalex.org/W3105203383'], 'referenced_works_count': 19, 'referenced_works': ['https://openalex.org/W1611451724', 'https://openalex.org/W1989448167', 'https://openalex.org/W1989685768', 'https://openalex.org/W2017788193', 'https://openalex.org/W2038414691', 'https://openalex.org/W2074891711', 'https://openalex.org/W2100957428', 'https://openalex.org/W2127881962', 'https://openalex.org/W2141304880', 'https://openalex.org/W2149883925', 'https://openalex.org/W2157116313', 'https://openalex.org/W2159405134', 'https://openalex.org/W2160039965', 'https://openalex.org/W2485030971', 'https://openalex.org/W2728141312', 'https://openalex.org/W2963267448', 'https://openalex.org/W3103134533', 'https://openalex.org/W3103592041', 'https://openalex.org/W4297826083'], 'related_works': ['https://openalex.org/W50969306', 'https://openalex.org/W4292101436', 'https://openalex.org/W4287207389', 'https://openalex.org/W4251428025', 'https://openalex.org/W412641959', 'https://openalex.org/W3154976382', 'https://openalex.org/W2779828239', 'https://openalex.org/W2390585021', 'https://openalex.org/W2341040961', 'https://openalex.org/W1960935588'], 'abstract_inverted_index': {'Following': [0], 'an': [1, 45, 55, 99], 'approach': [2], 'presented': [3], 'by': [4, 25, 67, 95, 105], 'Frantzikinakis': [5], '[Multiple': [6], 'correlation': [7, 22], 'sequences': [8], 'and': [9, 44], 'nilsequences.': [10], 'Invent.': [11], 'Math.': [12], '202': [13], '(2)': [14], '(2015),': [15], '875–892],': [16], 'we': [17, 58, 79], 'prove': [18], 'that': [19, 60, 81], 'any': [20], 'multiple': [21, 61], 'sequence': [23], 'defined': [24], 'invertible': [26], 'measure': [27], 'preserving': [28], 'actions': [29], 'of': [30, 41, 71], 'commuting': [31], 'transformations': [32], 'with': [33, 64], 'integer': [34, 69], 'part': [35, 70], 'polynomial': [36], 'iterates': [37, 65], 'is': [38, 49, 87], 'the': [39, 68, 76, 85], 'sum': [40], 'a': [42], 'nilsequence': [43], 'error': [46], 'term,': [47], 'which': [48], 'small': [50], 'in': [51, 75, 102], 'uniform': [52], 'density.': [53], 'As': [54], 'intermediate': [56], 'result,': [57], 'show': [59, 80], 'ergodic': [62], 'averages': [63], 'given': [66], 'real-valued': [72], 'polynomials': [73], 'converge': [74], 'mean.': [77], 'Also,': [78], 'under': [82], 'certain': [83], 'assumptions': [84], 'limit': [86], 'zero.': [88], 'A': [89], 'transference': [90], 'principle,': [91], 'communicated': [92], 'to': [93, 108], 'us': [94, 107], 'M.': [96], 'Wierdl,': [97], 'plays': [98], 'important': [100], 'role': [101], 'our': [103], 'arguments': [104], 'allowing': [106], 'deduce': [109], 'results': [110, 115], 'for': [111, 116], '$\\mathbb{Z}$': [112], '-actions': [113], 'from': [114], 'flows.': [117]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2188237673', 'counts_by_year': [{'year': 2023, 'cited_by_count': 1}, {'year': 2022, 'cited_by_count': 1}, {'year': 2020, 'cited_by_count': 4}, {'year': 2019, 'cited_by_count': 1}, {'year': 2018, 'cited_by_count': 2}, {'year': 2017, 'cited_by_count': 1}, {'year': 2015, 'cited_by_count': 1}], 'updated_date': '2025-01-01T20:16:02.153009', 'created_date': '2016-06-24'}