Publication Information

{'id': 'https://openalex.org/W2785884407', 'doi': None, 'title': 'Curvature calculations for antitrees', 'display_name': 'Curvature calculations for antitrees', 'publication_year': 2018, 'publication_date': '2018-01-29', 'ids': {'openalex': 'https://openalex.org/W2785884407', 'mag': '2785884407'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://arxiv.org/pdf/1801.09400.pdf', 'pdf_url': None, '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}, 'type': 'preprint', 'type_crossref': 'posted-content', 'indexed_in': [], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5069754166', 'display_name': 'D. H. Cushing', 'orcid': 'https://orcid.org/0000-0001-5488-2705'}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'David Cushing', 'raw_affiliation_strings': [], 'affiliations': []}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5101517415', 'display_name': 'Shiping Liu', 'orcid': 'https://orcid.org/0000-0002-9987-1935'}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Shiping Liu', 'raw_affiliation_strings': [], 'affiliations': []}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5063886233', 'display_name': 'Florentin Münch', 'orcid': 'https://orcid.org/0000-0001-6123-9507'}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Florentin Münch', 'raw_affiliation_strings': [], 'affiliations': []}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5067986221', 'display_name': 'Norbert Peyerimhoff', 'orcid': 'https://orcid.org/0000-0001-9630-7901'}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Norbert Peyerimhoff', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': None, 'has_fulltext': False, 'cited_by_count': 5, 'citation_normalized_percentile': {'value': 0.961246, 'is_in_top_1_percent': False, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 79, 'max': 80}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10229', 'display_name': 'Geometric Analysis and Curvature Flows', 'score': 0.9999, 'subfield': {'id': 'https://openalex.org/subfields/2604', 'display_name': 'Applied Mathematics'}, '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/T10229', 'display_name': 'Geometric Analysis and Curvature Flows', 'score': 0.9999, 'subfield': {'id': 'https://openalex.org/subfields/2604', 'display_name': 'Applied Mathematics'}, '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/T12351', 'display_name': 'Geometry and complex manifolds', 'score': 0.9977, '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'}}, {'id': 'https://openalex.org/T13080', 'display_name': 'Advanced Differential Geometry Research', 'score': 0.9901, 'subfield': {'id': 'https://openalex.org/subfields/3103', 'display_name': 'Astronomy and Astrophysics'}, 'field': {'id': 'https://openalex.org/fields/31', 'display_name': 'Physics and Astronomy'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/negative-curvature', 'display_name': 'Negative curvature', 'score': 0.5717827}], 'concepts': [{'id': 'https://openalex.org/C195065555', 'wikidata': 'https://www.wikidata.org/wiki/Q214881', 'display_name': 'Curvature', 'level': 2, 'score': 0.89452857}, {'id': 'https://openalex.org/C108710211', 'wikidata': 'https://www.wikidata.org/wiki/Q11538', 'display_name': 'Mathematical proof', 'level': 2, 'score': 0.839324}, {'id': 'https://openalex.org/C12089564', 'wikidata': 'https://www.wikidata.org/wiki/Q1195879', 'display_name': 'Ricci curvature', 'level': 3, 'score': 0.7018608}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.6139454}, {'id': 'https://openalex.org/C2983854663', 'wikidata': 'https://www.wikidata.org/wiki/Q214881', 'display_name': 'Negative curvature', 'level': 3, 'score': 0.5717827}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.36689007}, {'id': 'https://openalex.org/C118615104', 'wikidata': 'https://www.wikidata.org/wiki/Q121416', 'display_name': 'Discrete mathematics', 'level': 1, 'score': 0.322872}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.1441718}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://arxiv.org/pdf/1801.09400.pdf', 'pdf_url': None, '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}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 8, 'referenced_works': ['https://openalex.org/W1698081298', 'https://openalex.org/W2018609414', 'https://openalex.org/W2087667141', 'https://openalex.org/W2514240577', 'https://openalex.org/W2606766893', 'https://openalex.org/W2772063712', 'https://openalex.org/W2773652273', 'https://openalex.org/W2775614806'], 'related_works': ['https://openalex.org/W3099226805', 'https://openalex.org/W3092872226', 'https://openalex.org/W3047602308', 'https://openalex.org/W3045942313', 'https://openalex.org/W3036426351', 'https://openalex.org/W2999507902', 'https://openalex.org/W2990155857', 'https://openalex.org/W2962844229', 'https://openalex.org/W2952337412', 'https://openalex.org/W2949768445', 'https://openalex.org/W2799043051', 'https://openalex.org/W2786447515', 'https://openalex.org/W2761799376', 'https://openalex.org/W2562338375', 'https://openalex.org/W2490195458', 'https://openalex.org/W2182892071', 'https://openalex.org/W2095211334', 'https://openalex.org/W2080966335', 'https://openalex.org/W2009743695', 'https://openalex.org/W1534815985'], 'abstract_inverted_index': {'In': [0], 'this': [1], 'article': [2], 'we': [3], 'prove': [4], 'that': [5, 40], 'antitrees': [6], 'with': [7], 'suitable': [8], 'growth': [9], 'properties': [10], 'are': [11], 'examples': [12], 'of': [13, 57, 60], 'infinite': [14], 'graphs': [15, 42], 'exhibiting': [16], 'strictly': [17], 'positive': [18, 47], 'curvature': [19, 35, 49], 'in': [20, 23, 32, 55, 66], 'various': [21], 'contexts:': [22], 'the': [24, 33, 61, 67], 'normalized': [25], 'and': [26], 'non-normalized': [27], 'Bakry-Emery': [28], 'setting': [29], 'as': [30], 'well': [31], 'Ollivier-Ricci': [34], 'case.': [36], 'We': [37], 'also': [38], 'show': [39], 'these': [41], 'do': [43], 'not': [44], 'have': [45], 'global': [46], 'lower': [48], 'bounds,': [50], 'which': [51], 'one': [52], 'would': [53], 'expect': [54], 'view': [56], 'discrete': [58], 'analogues': [59], 'Bonnet-Myers': [62], 'theorem.': [63], 'The': [64], 'proofs': [65], 'different': [68, 71], 'settings': [69], 'require': [70], 'techniques.': [72]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2785884407', 'counts_by_year': [{'year': 2022, 'cited_by_count': 1}, {'year': 2021, 'cited_by_count': 1}, {'year': 2019, 'cited_by_count': 1}, {'year': 2018, 'cited_by_count': 2}], 'updated_date': '2025-01-06T11:06:49.127299', 'created_date': '2018-02-23'}