Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W296145649', 'doi': 'https://doi.org/10.1007/978-1-4899-3132-0_4', 'title': 'Continuous-time Markov chains', 'display_name': 'Continuous-time Markov chains', 'publication_year': 1997, 'publication_date': '1997-01-01', 'ids': {'openalex': 'https://openalex.org/W296145649', 'doi': 'https://doi.org/10.1007/978-1-4899-3132-0_4', 'mag': '296145649'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/978-1-4899-3132-0_4', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306463937', 'display_name': 'Springer eBooks', 'issn_l': None, 'issn': None, 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/P4310319965', 'host_organization_name': 'Springer Nature', 'host_organization_lineage': ['https://openalex.org/P4310319965'], 'host_organization_lineage_names': ['Springer Nature'], 'type': 'ebook platform'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'book-chapter', 'type_crossref': 'book-chapter', 'indexed_in': ['crossref'], '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/A5019914237', 'display_name': 'Masaaki Kijima', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I146399215', 'display_name': 'University of Tsukuba', 'ror': 'https://ror.org/02956yf07', 'country_code': 'JP', 'type': 'education', 'lineage': ['https://openalex.org/I146399215']}], 'countries': ['JP'], 'is_corresponding': True, 'raw_author_name': 'Masaaki Kijima', 'raw_affiliation_strings': ['university of Tsukuba'], 'affiliations': [{'raw_affiliation_string': 'university of Tsukuba', 'institution_ids': ['https://openalex.org/I146399215']}]}], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5019914237'], 'corresponding_institution_ids': ['https://openalex.org/I146399215'], 'apc_list': None, 'apc_paid': None, 'fwci': 0.653, 'has_fulltext': False, 'cited_by_count': 9, 'citation_normalized_percentile': {'value': 0.830882, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 77, 'max': 78}, 'biblio': {'volume': None, 'issue': None, 'first_page': '167', 'last_page': '241'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11125', 'display_name': 'Modeling and Control of Petri Nets in Systems', 'score': 0.5868, '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'}}, 'topics': [{'id': 'https://openalex.org/T11125', 'display_name': 'Modeling and Control of Petri Nets in Systems', 'score': 0.5868, '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'}}], 'keywords': [{'id': 'https://openalex.org/keywords/stochastic-petri-nets', 'display_name': 'Stochastic Petri Nets', 'score': 0.673643}, {'id': 'https://openalex.org/keywords/markov-renewal-process', 'display_name': 'Markov renewal process', 'score': 0.611042}, {'id': 'https://openalex.org/keywords/concurrency-modeling', 'display_name': 'Concurrency Modeling', 'score': 0.580352}, {'id': 'https://openalex.org/keywords/supervisory-control', 'display_name': 'Supervisory Control', 'score': 0.533179}, {'id': 'https://openalex.org/keywords/discrete-event-systems', 'display_name': 'Discrete-Event Systems', 'score': 0.507144}, {'id': 'https://openalex.org/keywords/continuous-time-markov-chain', 'display_name': 'Continuous-time Markov chain', 'score': 0.48545557}], 'concepts': [{'id': 'https://openalex.org/C98763669', 'wikidata': 'https://www.wikidata.org/wiki/Q176645', 'display_name': 'Markov chain', 'level': 2, 'score': 0.87492514}, {'id': 'https://openalex.org/C55689738', 'wikidata': 'https://www.wikidata.org/wiki/Q15963867', 'display_name': 'Discrete time and continuous time', 'level': 2, 'score': 0.7376403}, {'id': 'https://openalex.org/C189973286', 'wikidata': 'https://www.wikidata.org/wiki/Q176695', 'display_name': 'Markov property', 'level': 4, 'score': 0.65146875}, {'id': 'https://openalex.org/C163540672', 'wikidata': 'https://www.wikidata.org/wiki/Q1115431', 'display_name': 'Markov renewal process', 'level': 5, 'score': 0.611042}, {'id': 'https://openalex.org/C159886148', 'wikidata': 'https://www.wikidata.org/wiki/Q176645', 'display_name': 'Markov process', 'level': 2, 'score': 0.5840657}, {'id': 'https://openalex.org/C76408418', 'wikidata': 'https://www.wikidata.org/wiki/Q5419314', 'display_name': 'Examples of Markov chains', 'level': 5, 'score': 0.5432317}, {'id': 'https://openalex.org/C158917313', 'wikidata': 'https://www.wikidata.org/wiki/Q4849964', 'display_name': 'Balance equation', 'level': 4, 'score': 0.5279238}, {'id': 'https://openalex.org/C54907487', 'wikidata': 'https://www.wikidata.org/wiki/Q7915688', 'display_name': 'Variable-order Markov model', 'level': 4, 'score': 0.51137084}, {'id': 'https://openalex.org/C97074811', 'wikidata': 'https://www.wikidata.org/wiki/Q6771322', 'display_name': 'Markov chain mixing time', 'level': 5, 'score': 0.5010183}, {'id': 'https://openalex.org/C147080032', 'wikidata': 'https://www.wikidata.org/wiki/Q176720', 'display_name': 'Continuous-time Markov chain', 'level': 5, 'score': 0.48545557}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.479999}, {'id': 'https://openalex.org/C163836022', 'wikidata': 'https://www.wikidata.org/wiki/Q6771326', 'display_name': 'Markov model', 'level': 3, 'score': 0.43727478}, {'id': 'https://openalex.org/C189950617', 'wikidata': 'https://www.wikidata.org/wiki/Q937228', 'display_name': 'Property (philosophy)', 'level': 2, 'score': 0.4261511}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.41208902}, {'id': 'https://openalex.org/C121864883', 'wikidata': 'https://www.wikidata.org/wiki/Q677916', 'display_name': 'Statistical physics', 'level': 1, 'score': 0.34225932}, {'id': 'https://openalex.org/C105795698', 'wikidata': 'https://www.wikidata.org/wiki/Q12483', 'display_name': 'Statistics', 'level': 1, 'score': 0.10941452}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.08559772}, {'id': 'https://openalex.org/C119857082', 'wikidata': 'https://www.wikidata.org/wiki/Q2539', 'display_name': 'Machine learning', 'level': 1, 'score': 0.058311522}, {'id': 'https://openalex.org/C138885662', 'wikidata': 'https://www.wikidata.org/wiki/Q5891', 'display_name': 'Philosophy', 'level': 0, 'score': 0.053161353}, {'id': 'https://openalex.org/C111472728', 'wikidata': 'https://www.wikidata.org/wiki/Q9471', 'display_name': 'Epistemology', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/978-1-4899-3132-0_4', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306463937', 'display_name': 'Springer eBooks', 'issn_l': None, 'issn': None, 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/P4310319965', 'host_organization_name': 'Springer Nature', 'host_organization_lineage': ['https://openalex.org/P4310319965'], 'host_organization_lineage_names': ['Springer Nature'], 'type': 'ebook platform'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 0, 'referenced_works': [], 'related_works': ['https://openalex.org/W4294057461', 'https://openalex.org/W3173774827', 'https://openalex.org/W3021931671', 'https://openalex.org/W296145649', 'https://openalex.org/W292716529', 'https://openalex.org/W2548071836', 'https://openalex.org/W2502701526', 'https://openalex.org/W2159877461', 'https://openalex.org/W2091522449', 'https://openalex.org/W1565315865'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W296145649', 'counts_by_year': [{'year': 2023, 'cited_by_count': 1}, {'year': 2021, 'cited_by_count': 2}, {'year': 2020, 'cited_by_count': 1}, {'year': 2019, 'cited_by_count': 1}, {'year': 2016, 'cited_by_count': 1}, {'year': 2013, 'cited_by_count': 1}], 'updated_date': '2024-09-12T17:27:42.306621', 'created_date': '2016-06-24'}