Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2349982553', 'doi': None, 'title': 'A CLASS OF LIMIT THEOREMS FOR THE RELATIVE ENTROPY DENSITY AND THE RANDOM CONDITIONAL ENTROPY OF FINITE MARKOV CHAINS', 'display_name': 'A CLASS OF LIMIT THEOREMS FOR THE RELATIVE ENTROPY DENSITY AND THE RANDOM CONDITIONAL ENTROPY OF FINITE MARKOV CHAINS', 'publication_year': 1995, 'publication_date': '1995-01-01', 'ids': {'openalex': 'https://openalex.org/W2349982553', 'mag': '2349982553'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'http://en.cnki.com.cn/Article_en/CJFDTOTAL-YYSU502.011.htm', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S77092102', 'display_name': 'Acta Mathematicae Applicatae Sinica English Series', 'issn_l': '0168-9673', 'issn': ['0168-9673', '1618-3932'], 'is_oa': False, 'is_in_doaj': False, 'is_indexed_in_scopus': True, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319900', 'host_organization_name': 'Springer Science+Business Media', 'host_organization_lineage': ['https://openalex.org/P4310319965', 'https://openalex.org/P4310319900'], 'host_organization_lineage_names': ['Springer Nature', 'Springer Science+Business Media'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', '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/A5055352538', 'display_name': 'Wen Yang', 'orcid': 'https://orcid.org/0000-0003-1222-4987'}, 'institutions': [], 'countries': [], 'is_corresponding': True, 'raw_author_name': 'Yang W', 'raw_affiliation_strings': ['EIGUO'], 'affiliations': [{'raw_affiliation_string': 'EIGUO', 'institution_ids': []}]}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': ['https://openalex.org/A5055352538'], 'corresponding_institution_ids': [], 'apc_list': {'value': 2590, 'currency': 'EUR', 'value_usd': 3190, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 0.0, 'has_fulltext': False, 'cited_by_count': 0, 'citation_normalized_percentile': {'value': 0.0, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 0, 'max': 53}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T13234', 'display_name': 'advanced mathematical theories', 'score': 0.8564, '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/T13234', 'display_name': 'advanced mathematical theories', 'score': 0.8564, '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/T10067', 'display_name': 'Stochastic processes and financial applications', 'score': 0.7949, 'subfield': {'id': 'https://openalex.org/subfields/2003', 'display_name': 'Finance'}, 'field': {'id': 'https://openalex.org/fields/20', 'display_name': 'Economics, Econometrics and Finance'}, 'domain': {'id': 'https://openalex.org/domains/2', 'display_name': 'Social Sciences'}}, {'id': 'https://openalex.org/T13685', 'display_name': 'Material Science and Thermodynamics', 'score': 0.777, 'subfield': {'id': 'https://openalex.org/subfields/2210', 'display_name': 'Mechanical Engineering'}, 'field': {'id': 'https://openalex.org/fields/22', 'display_name': 'Engineering'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/conditional-entropy', 'display_name': 'Conditional entropy', 'score': 0.7554778}, {'id': 'https://openalex.org/keywords/generalized-relative-entropy', 'display_name': 'Generalized relative entropy', 'score': 0.48407856}, {'id': 'https://openalex.org/keywords/conditional-quantum-entropy', 'display_name': 'Conditional quantum entropy', 'score': 0.46109357}, {'id': 'https://openalex.org/keywords/kullback–leibler-divergence', 'display_name': 'Kullback–Leibler divergence', 'score': 0.45468733}, {'id': 'https://openalex.org/keywords/min-entropy', 'display_name': 'Min entropy', 'score': 0.45395583}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.90298486}, {'id': 'https://openalex.org/C101721835', 'wikidata': 'https://www.wikidata.org/wiki/Q813908', 'display_name': 'Conditional entropy', 'level': 3, 'score': 0.7554778}, {'id': 'https://openalex.org/C125252325', 'wikidata': 'https://www.wikidata.org/wiki/Q1345213', 'display_name': 'Entropy rate', 'level': 4, 'score': 0.6673941}, {'id': 'https://openalex.org/C98763669', 'wikidata': 'https://www.wikidata.org/wiki/Q176645', 'display_name': 'Markov chain', 'level': 2, 'score': 0.62302774}, {'id': 'https://openalex.org/C106301342', 'wikidata': 'https://www.wikidata.org/wiki/Q4117933', 'display_name': 'Entropy (arrow of time)', 'level': 2, 'score': 0.5120588}, {'id': 'https://openalex.org/C60507348', 'wikidata': 'https://www.wikidata.org/wiki/Q6795892', 'display_name': 'Maximum entropy probability distribution', 'level': 3, 'score': 0.5035743}, {'id': 'https://openalex.org/C5084201', 'wikidata': 'https://www.wikidata.org/wiki/Q17090689', 'display_name': 'Generalized relative entropy', 'level': 5, 'score': 0.48407856}, {'id': 'https://openalex.org/C16609844', 'wikidata': 'https://www.wikidata.org/wiki/Q5159273', 'display_name': 'Conditional quantum entropy', 'level': 5, 'score': 0.46109357}, {'id': 'https://openalex.org/C171752962', 'wikidata': 'https://www.wikidata.org/wiki/Q255166', 'display_name': 'Kullback–Leibler divergence', 'level': 2, 'score': 0.45468733}, {'id': 'https://openalex.org/C196083917', 'wikidata': 'https://www.wikidata.org/wiki/Q17103874', 'display_name': 'Min entropy', 'level': 5, 'score': 0.45395583}, {'id': 'https://openalex.org/C28826006', 'wikidata': 'https://www.wikidata.org/wiki/Q33521', 'display_name': 'Applied mathematics', 'level': 1, 'score': 0.41149005}, {'id': 'https://openalex.org/C121864883', 'wikidata': 'https://www.wikidata.org/wiki/Q677916', 'display_name': 'Statistical physics', 'level': 1, 'score': 0.40233478}, {'id': 'https://openalex.org/C42047476', 'wikidata': 'https://www.wikidata.org/wiki/Q6269544', 'display_name': 'Joint quantum entropy', 'level': 3, 'score': 0.39098483}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.37231752}, {'id': 'https://openalex.org/C49775889', 'wikidata': 'https://www.wikidata.org/wiki/Q6795896', 'display_name': 'Maximum entropy thermodynamics', 'level': 4, 'score': 0.36077997}, {'id': 'https://openalex.org/C9679016', 'wikidata': 'https://www.wikidata.org/wiki/Q1417473', 'display_name': 'Principle of maximum entropy', 'level': 2, 'score': 0.2636155}, {'id': 'https://openalex.org/C105795698', 'wikidata': 'https://www.wikidata.org/wiki/Q12483', 'display_name': 'Statistics', 'level': 1, 'score': 0.21319824}, {'id': 'https://openalex.org/C97355855', 'wikidata': 'https://www.wikidata.org/wiki/Q11473', 'display_name': 'Thermodynamics', 'level': 1, 'score': 0.07515594}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.061080754}, {'id': 'https://openalex.org/C139356082', 'wikidata': 'https://www.wikidata.org/wiki/Q7269038', 'display_name': 'Quantum discord', 'level': 4, 'score': 0.0}, {'id': 'https://openalex.org/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C121040770', 'wikidata': 'https://www.wikidata.org/wiki/Q215675', 'display_name': 'Quantum entanglement', 'level': 3, 'score': 0.0}, {'id': 'https://openalex.org/C84114770', 'wikidata': 'https://www.wikidata.org/wiki/Q46344', 'display_name': 'Quantum', 'level': 2, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'http://en.cnki.com.cn/Article_en/CJFDTOTAL-YYSU502.011.htm', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S77092102', 'display_name': 'Acta Mathematicae Applicatae Sinica English Series', 'issn_l': '0168-9673', 'issn': ['0168-9673', '1618-3932'], 'is_oa': False, 'is_in_doaj': False, 'is_indexed_in_scopus': True, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319900', 'host_organization_name': 'Springer Science+Business Media', 'host_organization_lineage': ['https://openalex.org/P4310319965', 'https://openalex.org/P4310319900'], 'host_organization_lineage_names': ['Springer Nature', 'Springer Science+Business Media'], 'type': 'journal'}, '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/W983409320', 'https://openalex.org/W2982866771', 'https://openalex.org/W2899508992', 'https://openalex.org/W2795981645', 'https://openalex.org/W2735402264', 'https://openalex.org/W2612140554', 'https://openalex.org/W2383890985', 'https://openalex.org/W2377003732', 'https://openalex.org/W2355161982', 'https://openalex.org/W2352311956', 'https://openalex.org/W2184930096', 'https://openalex.org/W2177222362', 'https://openalex.org/W2149619889', 'https://openalex.org/W2075396368', 'https://openalex.org/W2045872103', 'https://openalex.org/W2017867236', 'https://openalex.org/W2014522486', 'https://openalex.org/W2012625632', 'https://openalex.org/W1935558858', 'https://openalex.org/W1509897849'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2349982553', 'counts_by_year': [], 'updated_date': '2025-01-20T11:46:49.887031', 'created_date': '2016-06-24'}