Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2256271022', 'doi': 'https://doi.org/10.1214/15-aihp686', 'title': 'Weak shape theorem in first passage percolation with infinite passage times', 'display_name': 'Weak shape theorem in first passage percolation with infinite passage times', 'publication_year': 2016, 'publication_date': '2016-07-28', 'ids': {'openalex': 'https://openalex.org/W2256271022', 'doi': 'https://doi.org/10.1214/15-aihp686', 'mag': '2256271022'}, 'language': 'fr', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1214/15-aihp686', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210228960', 'display_name': 'Annales de l Institut Henri Poincaré Probabilités et Statistiques', 'issn_l': '0246-0203', 'issn': ['0246-0203', '1778-7017'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319881', 'host_organization_name': 'Institute of Mathematical Statistics', 'host_organization_lineage': ['https://openalex.org/P4310319881'], 'host_organization_lineage_names': ['Institute of Mathematical Statistics'], 'type': 'journal'}, 'license': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': True, 'oa_status': 'hybrid', 'oa_url': 'https://doi.org/10.1214/15-aihp686', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5013447678', 'display_name': 'Raphaël Cerf', 'orcid': 'https://orcid.org/0000-0001-8552-5313'}, 'institutions': [{'id': 'https://openalex.org/I4210127506', 'display_name': 'Département de mathématiques et applications', 'ror': 'https://ror.org/03k9z2963', 'country_code': 'FR', 'type': 'facility', 'lineage': ['https://openalex.org/I1294671590', 'https://openalex.org/I2746051580', 'https://openalex.org/I29607241', 'https://openalex.org/I4210127506']}, {'id': 'https://openalex.org/I29607241', 'display_name': 'École Normale Supérieure - PSL', 'ror': 'https://ror.org/05a0dhs15', 'country_code': 'FR', 'type': 'other', 'lineage': ['https://openalex.org/I2746051580', 'https://openalex.org/I29607241']}], 'countries': ['FR'], 'is_corresponding': False, 'raw_author_name': 'Raphaël Cerf', 'raw_affiliation_strings': ["DMA, Ecole Normale Supérieure, 45 rue d'Ulm, 75230 Paris Cedex 05, France."], 'affiliations': [{'raw_affiliation_string': "DMA, Ecole Normale Supérieure, 45 rue d'Ulm, 75230 Paris Cedex 05, France.", 'institution_ids': ['https://openalex.org/I4210127506', 'https://openalex.org/I29607241']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5009043694', 'display_name': 'Marie Théret', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I204730241', 'display_name': 'Université Paris Cité', 'ror': 'https://ror.org/05f82e368', 'country_code': 'FR', 'type': 'education', 'lineage': ['https://openalex.org/I204730241']}, {'id': 'https://openalex.org/I169173203', 'display_name': 'Délégation Paris 7', 'ror': 'https://ror.org/00bw5n526', 'country_code': 'FR', 'type': 'government', 'lineage': ['https://openalex.org/I154526488', 'https://openalex.org/I169173203']}], 'countries': ['FR'], 'is_corresponding': False, 'raw_author_name': 'Marie Théret', 'raw_affiliation_strings': ['LPMA, Université Paris Diderot, Bâtiment Sophie Germain, 5 rue Thomas Mann, 75205 Paris Cedex 13, France.'], 'affiliations': [{'raw_affiliation_string': 'LPMA, Université Paris Diderot, Bâtiment Sophie Germain, 5 rue Thomas Mann, 75205 Paris Cedex 13, France.', 'institution_ids': ['https://openalex.org/I204730241', 'https://openalex.org/I169173203']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 4, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 1.122, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 8, 'citation_normalized_percentile': {'value': 0.866651, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 84, 'max': 85}, 'biblio': {'volume': '52', 'issue': '3', 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11152', 'display_name': 'Stochastic processes and statistical mechanics', 'score': 1.0, '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': 1.0, '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': 0.9992, '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': 0.9989, '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': 0.45730498}], 'concepts': [{'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.57408047}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.5614355}, {'id': 'https://openalex.org/C152361515', 'wikidata': 'https://www.wikidata.org/wiki/Q181328', 'display_name': "Bernoulli's principle", 'level': 2, 'score': 0.5339908}, {'id': 'https://openalex.org/C2780457167', 'wikidata': 'https://www.wikidata.org/wiki/Q17156484', 'display_name': 'Percolation (cognitive psychology)', 'level': 2, 'score': 0.45730498}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.3276933}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.3175075}, {'id': 'https://openalex.org/C97355855', 'wikidata': 'https://www.wikidata.org/wiki/Q11473', 'display_name': 'Thermodynamics', 'level': 1, 'score': 0.06047374}, {'id': 'https://openalex.org/C169760540', 'wikidata': 'https://www.wikidata.org/wiki/Q207011', 'display_name': 'Neuroscience', '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}], 'mesh': [], 'locations_count': 6, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.1214/15-aihp686', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210228960', 'display_name': 'Annales de l Institut Henri Poincaré Probabilités et Statistiques', 'issn_l': '0246-0203', 'issn': ['0246-0203', '1778-7017'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319881', 'host_organization_name': 'Institute of Mathematical Statistics', 'host_organization_lineage': ['https://openalex.org/P4310319881'], 'host_organization_lineage_names': ['Institute of Mathematical Statistics'], 'type': 'journal'}, 'license': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, {'is_oa': False, 'landing_page_url': 'https://hal.archives-ouvertes.fr/hal-00980479', 'pdf_url': None, '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': None, 'is_accepted': False, 'is_published': False}, {'is_oa': False, 'landing_page_url': 'https://hal.science/hal-00980479', 'pdf_url': None, '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': None, 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'http://projecteuclid.org/euclid.aihp/1469723523', 'pdf_url': 'https://projecteuclid.org/journals/annales-de-linstitut-henri-poincare-probabilites-et-statistiques/volume-52/issue-3/Weak-shape-theorem-in-first-passage-percolation-with-infinite-passage/10.1214/15-AIHP686.pdf', 'source': {'id': 'https://openalex.org/S4306400787', 'display_name': 'Project Euclid (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': '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://arxiv.org/abs/1404.4539', 'pdf_url': 'https://arxiv.org/pdf/1404.4539', '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': 'http://arxiv.org/abs/1404.4539', 'pdf_url': 'http://arxiv.org/pdf/1404.4539', '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': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1214/15-aihp686', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210228960', 'display_name': 'Annales de l Institut Henri Poincaré Probabilités et Statistiques', 'issn_l': '0246-0203', 'issn': ['0246-0203', '1778-7017'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319881', 'host_organization_name': 'Institute of Mathematical Statistics', 'host_organization_lineage': ['https://openalex.org/P4310319881'], 'host_organization_lineage_names': ['Institute of Mathematical Statistics'], 'type': 'journal'}, 'license': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 24, 'referenced_works': ['https://openalex.org/W138863257', 'https://openalex.org/W1970639502', 'https://openalex.org/W1976683712', 'https://openalex.org/W1986564122', 'https://openalex.org/W2024515059', 'https://openalex.org/W2028886195', 'https://openalex.org/W2053586901', 'https://openalex.org/W2067248536', 'https://openalex.org/W2075473854', 'https://openalex.org/W2077293866', 'https://openalex.org/W2124701341', 'https://openalex.org/W2140220949', 'https://openalex.org/W2160853249', 'https://openalex.org/W2163301924', 'https://openalex.org/W2324678740', 'https://openalex.org/W2766617149', 'https://openalex.org/W2952463035', 'https://openalex.org/W3100456866', 'https://openalex.org/W3101321287', 'https://openalex.org/W4205976284', 'https://openalex.org/W4244903615', 'https://openalex.org/W4247111096', 'https://openalex.org/W4250226066', 'https://openalex.org/W4302344174'], 'related_works': ['https://openalex.org/W4245490552', 'https://openalex.org/W4225152035', 'https://openalex.org/W3002753104', 'https://openalex.org/W2911598644', 'https://openalex.org/W2077600819', 'https://openalex.org/W2061531152', 'https://openalex.org/W2042127053', 'https://openalex.org/W2007980826', 'https://openalex.org/W1979597421', 'https://openalex.org/W1587224694'], 'abstract_inverted_index': {'Nous': [0, 59, 71], 'considérons': [1, 37], 'le': [2, 48], 'modèle': [3, 39], 'standard': [4, 45], 'de': [5, 7, 23, 40, 42, 54, 63, 69, 77], 'percolation': [6, 41, 53], 'premier': [8, 43], 'passage': [9, 24, 44], 'sur': [10, 47], '$\\mathbb{Z}^{d}$': [11], ':': [12], 'nous': [13, 36], 'associons': [14], 'à': [15, 26], 'chaque': [16], 'arête': [17], '$e$': [18], 'du': [19], 'graphe': [20, 49], 'un': [21, 38, 61], 'temps': [22, 78], '$t(e)$': [25], 'valeurs': [27], 'dans': [28], '$[0,+\\infty]$,': [29], 'tel': [30], 'que': [31, 74], '$\\mathbb{P}[t(e)<+\\infty]>p_{c}(d)$.': [32], 'De': [33], 'façon': [34], 'équivalente,': [35], '(fini)': [46], 'obtenu': [50], 'par': [51], 'une': [52], 'Bernoulli': [55], 'sur-critique': [56], 'réalisée': [57], 'indépendamment.': [58], 'prouvons': [60, 72], 'théorème': [62], 'forme': [64], 'faible': [65], 'sans': [66], 'aucune': [67], 'hypothèse': [68], 'moment.': [70], 'aussi': [73], 'la': [75], 'constante': [76], 'correspondante': [79], 'est': [80], 'strictement': [81], 'positive': [82], 'si': [83, 86], 'et': [84], 'seulement': [85], '$\\mathbb{P}[t(e)=0]<p_{c}(d)$.': [87]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2256271022', 'counts_by_year': [{'year': 2022, 'cited_by_count': 1}, {'year': 2021, 'cited_by_count': 2}, {'year': 2020, 'cited_by_count': 1}, {'year': 2018, 'cited_by_count': 1}, {'year': 2015, 'cited_by_count': 1}], 'updated_date': '2024-12-19T00:20:28.864747', 'created_date': '2016-06-24'}