Publication Information

{'id': 'https://openalex.org/W4306928919', 'doi': 'https://doi.org/10.4153/s0008414x22000554', 'title': 'Percolation probability and critical exponents for site percolation on the UIPT', 'display_name': 'Percolation probability and critical exponents for site percolation on the UIPT', 'publication_year': 2022, 'publication_date': '2022-10-20', 'ids': {'openalex': 'https://openalex.org/W4306928919', 'doi': 'https://doi.org/10.4153/s0008414x22000554'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.4153/s0008414x22000554', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S131268793', 'display_name': 'Canadian Journal of Mathematics', 'issn_l': '0008-414X', 'issn': ['0008-414X', '1496-4279'], '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://hal.science/hal-03819030/document', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5022145098', 'display_name': 'Laurent Ménard', 'orcid': 'https://orcid.org/0000-0001-7867-1881'}, 'institutions': [{'id': 'https://openalex.org/I258800397', 'display_name': 'New York University Shanghai', 'ror': 'https://ror.org/02vpsdb40', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I258800397', 'https://openalex.org/I57206974']}, {'id': 'https://openalex.org/I40434647', 'display_name': 'Université Paris Nanterre', 'ror': 'https://ror.org/013bkhk48', 'country_code': 'FR', 'type': 'education', 'lineage': ['https://openalex.org/I40434647']}, {'id': 'https://openalex.org/I4387155343', 'display_name': 'Modélisation aléatoire de Paris Nanterre', 'ror': 'https://ror.org/00cjjmc56', 'country_code': None, 'type': 'facility', 'lineage': ['https://openalex.org/I40434647', 'https://openalex.org/I4387155343']}], 'countries': ['CN', 'FR'], 'is_corresponding': True, 'raw_author_name': 'Laurent Ménard', 'raw_affiliation_strings': ['Modélisation aléatoire de Paris X', 'NYU–ECNU Institute of Mathematical Sciences at NYU Shanghai'], 'affiliations': [{'raw_affiliation_string': 'NYU–ECNU Institute of Mathematical Sciences at NYU Shanghai', 'institution_ids': ['https://openalex.org/I258800397']}, {'raw_affiliation_string': 'Modélisation aléatoire de Paris X', 'institution_ids': ['https://openalex.org/I40434647', 'https://openalex.org/I4387155343']}]}], 'institution_assertions': [], 'countries_distinct_count': 2, 'institutions_distinct_count': 3, 'corresponding_author_ids': ['https://openalex.org/A5022145098'], 'corresponding_institution_ids': ['https://openalex.org/I258800397', 'https://openalex.org/I40434647', 'https://openalex.org/I4387155343'], 'apc_list': None, 'apc_paid': None, 'fwci': 0.483, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 1, 'citation_normalized_percentile': {'value': 0.448048, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 60, 'max': 70}, 'biblio': {'volume': '75', 'issue': '6', 'first_page': '1869', 'last_page': '1903'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11152', 'display_name': 'Stochastic processes and statistical mechanics', 'score': 0.9999, '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': 0.9999, '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/T12056', 'display_name': 'Markov Chains and Monte Carlo Methods', 'score': 0.9975, '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'}}, {'id': 'https://openalex.org/T11716', 'display_name': 'Random Matrices and Applications', 'score': 0.9923, '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/percolation', 'display_name': 'Percolation (cognitive psychology)', 'score': 0.66318}, {'id': 'https://openalex.org/keywords/exponent', 'display_name': 'Exponent', 'score': 0.56887966}, {'id': 'https://openalex.org/keywords/continuum-percolation-theory', 'display_name': 'Continuum percolation theory', 'score': 0.534767}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.80240196}, {'id': 'https://openalex.org/C158574103', 'wikidata': 'https://www.wikidata.org/wiki/Q7167168', 'display_name': 'Percolation critical exponents', 'level': 4, 'score': 0.7164461}, {'id': 'https://openalex.org/C2780457167', 'wikidata': 'https://www.wikidata.org/wiki/Q17156484', 'display_name': 'Percolation (cognitive psychology)', 'level': 2, 'score': 0.66318}, {'id': 'https://openalex.org/C152361515', 'wikidata': 'https://www.wikidata.org/wiki/Q181328', 'display_name': "Bernoulli's principle", 'level': 2, 'score': 0.5933863}, {'id': 'https://openalex.org/C2780388253', 'wikidata': 'https://www.wikidata.org/wiki/Q5421508', 'display_name': 'Exponent', 'level': 2, 'score': 0.56887966}, {'id': 'https://openalex.org/C164154869', 'wikidata': 'https://www.wikidata.org/wiki/Q901927', 'display_name': 'Critical exponent', 'level': 3, 'score': 0.53523815}, {'id': 'https://openalex.org/C177634923', 'wikidata': 'https://www.wikidata.org/wiki/Q17005777', 'display_name': 'Continuum percolation theory', 'level': 5, 'score': 0.534767}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.52386427}, {'id': 'https://openalex.org/C164866538', 'wikidata': 'https://www.wikidata.org/wiki/Q367351', 'display_name': 'Cluster (spacecraft)', 'level': 2, 'score': 0.4791488}, {'id': 'https://openalex.org/C204911207', 'wikidata': 'https://www.wikidata.org/wiki/Q860609', 'display_name': 'Generating function', 'level': 2, 'score': 0.46677297}, {'id': 'https://openalex.org/C2729557', 'wikidata': 'https://www.wikidata.org/wiki/Q7167170', 'display_name': 'Percolation threshold', 'level': 3, 'score': 0.45057043}, {'id': 'https://openalex.org/C125611927', 'wikidata': 'https://www.wikidata.org/wiki/Q17008131', 'display_name': 'Criticality', 'level': 2, 'score': 0.43128243}, {'id': 'https://openalex.org/C121864883', 'wikidata': 'https://www.wikidata.org/wiki/Q677916', 'display_name': 'Statistical physics', 'level': 1, 'score': 0.4286297}, {'id': 'https://openalex.org/C118615104', 'wikidata': 'https://www.wikidata.org/wiki/Q121416', 'display_name': 'Discrete mathematics', 'level': 1, 'score': 0.32296377}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.20055035}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.0920417}, {'id': 'https://openalex.org/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.06922573}, {'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/C169760540', 'wikidata': 'https://www.wikidata.org/wiki/Q207011', 'display_name': 'Neuroscience', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C99844830', 'wikidata': 'https://www.wikidata.org/wiki/Q102441924', 'display_name': 'Scaling', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C185544564', 'wikidata': 'https://www.wikidata.org/wiki/Q81197', 'display_name': 'Nuclear physics', '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/C199360897', 'wikidata': 'https://www.wikidata.org/wiki/Q9143', 'display_name': 'Programming language', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C69990965', 'wikidata': 'https://www.wikidata.org/wiki/Q65402698', 'display_name': 'Electrical resistivity and conductivity', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C97355855', 'wikidata': 'https://www.wikidata.org/wiki/Q11473', 'display_name': 'Thermodynamics', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 7, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.4153/s0008414x22000554', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S131268793', 'display_name': 'Canadian Journal of Mathematics', 'issn_l': '0008-414X', 'issn': ['0008-414X', '1496-4279'], '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://hal.archives-ouvertes.fr/hal-03819030', 'pdf_url': 'https://hal.science/hal-03819030/document', 'source': {'id': 'https://openalex.org/S4306402512', 'display_name': 'HAL (Le Centre pour la Communication Scientifique Directe)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I1294671590', 'host_organization_name': 'Centre National de la Recherche Scientifique', 'host_organization_lineage': ['https://openalex.org/I1294671590'], 'host_organization_lineage_names': ['Centre National de la Recherche Scientifique'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/2201.11920', 'pdf_url': 'https://arxiv.org/pdf/2201.11920', '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': True, 'landing_page_url': 'https://hal.science/hal-03819030/file/PercoUIPT.pdf', 'pdf_url': 'https://hal.science/hal-03819030/file/PercoUIPT.pdf', 'source': None, 'license': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'https://hal.archives-ouvertes.fr/hal-03819030/file/PercoUIPT.pdf', 'pdf_url': 'https://hal.archives-ouvertes.fr/hal-03819030/file/PercoUIPT.pdf', 'source': {'id': 'https://openalex.org/S4306402512', 'display_name': 'HAL (Le Centre pour la Communication Scientifique Directe)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I1294671590', 'host_organization_name': 'Centre National de la Recherche Scientifique', 'host_organization_lineage': ['https://openalex.org/I1294671590'], 'host_organization_lineage_names': ['Centre National de la Recherche Scientifique'], 'type': 'repository'}, 'license': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'https://hal.archives-ouvertes.fr/hal-03819030/document', 'pdf_url': 'https://hal.archives-ouvertes.fr/hal-03819030/document', 'source': {'id': 'https://openalex.org/S4306402512', 'display_name': 'HAL (Le Centre pour la Communication Scientifique Directe)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I1294671590', 'host_organization_name': 'Centre National de la Recherche Scientifique', 'host_organization_lineage': ['https://openalex.org/I1294671590'], 'host_organization_lineage_names': ['Centre National de la Recherche Scientifique'], 'type': 'repository'}, 'license': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': False, 'landing_page_url': 'https://api.datacite.org/dois/10.48550/arxiv.2201.11920', '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://hal.archives-ouvertes.fr/hal-03819030', 'pdf_url': 'https://hal.science/hal-03819030/document', 'source': {'id': 'https://openalex.org/S4306402512', 'display_name': 'HAL (Le Centre pour la Communication Scientifique Directe)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I1294671590', 'host_organization_name': 'Centre National de la Recherche Scientifique', 'host_organization_lineage': ['https://openalex.org/I1294671590'], 'host_organization_lineage_names': ['Centre National de la Recherche Scientifique'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'sustainable_development_goals': [{'score': 0.69, 'display_name': 'Peace, justice, and strong institutions', 'id': 'https://metadata.un.org/sdg/16'}], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 21, 'referenced_works': ['https://openalex.org/W1579422873', 'https://openalex.org/W1756865317', 'https://openalex.org/W186403072', 'https://openalex.org/W1993079947', 'https://openalex.org/W2008137962', 'https://openalex.org/W2009198726', 'https://openalex.org/W2027318911', 'https://openalex.org/W2066203598', 'https://openalex.org/W2099204418', 'https://openalex.org/W2125057352', 'https://openalex.org/W2131981330', 'https://openalex.org/W2962990364', 'https://openalex.org/W2963559664', 'https://openalex.org/W2964011123', 'https://openalex.org/W3098053052', 'https://openalex.org/W3099842445', 'https://openalex.org/W3102507137', 'https://openalex.org/W3103713245', 'https://openalex.org/W3134494317', 'https://openalex.org/W3154901003', 'https://openalex.org/W4241626994'], 'related_works': ['https://openalex.org/W4226254281', 'https://openalex.org/W3108633931', 'https://openalex.org/W3106053424', 'https://openalex.org/W3099436367', 'https://openalex.org/W2949162805', 'https://openalex.org/W2916680840', 'https://openalex.org/W2514743413', 'https://openalex.org/W2094482977', 'https://openalex.org/W2014145684', 'https://openalex.org/W1639194677'], 'abstract_inverted_index': {'We': [0, 67], 'derive': [1, 93], 'three': [2, 132], 'critical': [3], 'exponents': [4], 'for': [5, 39, 54, 96], 'Bernoulli': [6], 'site': [7, 40], 'percolation': [8, 41, 150], 'on': [9, 11, 42], 'the': [10, 12, 22, 25, 36, 43, 55, 59, 64, 76, 79, 97, 100, 103, 114, 117, 120, 135, 145], 'Uniform': [13], 'Infinite': [14], 'Planar': [15], 'Triangulation': [16], '(UIPT).': [17], 'First': [18], 'we': [19, 33, 49, 91], 'compute': [20], 'explicitly': [21], 'probability': [23, 77, 115], 'that': [24, 35, 78, 116], 'root': [26, 65, 80, 104, 121], 'cluster': [27, 81, 105, 122], 'is': [28, 45, 123], 'infinite.': [29], 'As': [30], 'a': [31], 'consequence,': [32], 'show': [34], 'off-critical': [37], 'exponent': [38], 'UIPT': [44], '$β=': [46], '1/2$.': [47], 'Then': [48], 'establish': [50, 110], 'an': [51, 94], 'integral': [52], 'formula': [53, 70], 'generating': [56], 'function': [57], 'of': [58, 61, 99, 102, 119, 149, 154], 'number': [60], 'vertices': [62, 86], 'in': [63], 'cluster.': [66], 'use': [68, 107], 'this': [69], 'to': [71, 109, 125], 'prove': [72], 'that,': [73, 111], 'at': [74, 83, 112], 'criticality,': [75, 113], 'has': [82], 'least': [84], '$n$': [85, 126], 'decays': [87, 127], 'like': [88, 128], '$n^{-1/7}$.': [89], 'Finally,': [90], 'also': [92], 'expression': [95], 'law': [98], 'perimeter': [101, 118], 'and': [106], 'it': [108], 'equal': [124], '$n^{-4/3}$.': [129], 'Among': [130], 'these': [131], 'exponents,': [133], 'only': [134], 'last': [136], 'one': [137], 'was': [138], 'previously': [139], 'known.': [140], 'Our': [141], 'main': [142], 'tools': [143], 'are': [144], 'so-called': [146], 'gasket': [147], 'decomposition': [148], 'clusters,': [151], 'generic': [152], 'properties': [153], 'random': [155], 'Boltzmann': [156], 'maps,': [157], 'as': [158, 160], 'well': [159], 'analytic': [161], 'combinatorics.': [162]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W4306928919', 'counts_by_year': [{'year': 2023, 'cited_by_count': 1}], 'updated_date': '2024-12-15T05:47:10.880490', 'created_date': '2022-10-21'}