Publication Information

{'id': 'https://openalex.org/W1977136767', 'doi': 'https://doi.org/10.1063/1.1765215', 'title': 'Symmetry of matrix-valued stochastic processes and noncolliding diffusion particle systems', 'display_name': 'Symmetry of matrix-valued stochastic processes and noncolliding diffusion particle systems', 'publication_year': 2004, 'publication_date': '2004-07-02', 'ids': {'openalex': 'https://openalex.org/W1977136767', 'doi': 'https://doi.org/10.1063/1.1765215', 'mag': '1977136767'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1063/1.1765215', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S158241587', 'display_name': 'Journal of Mathematical Physics', 'issn_l': '0022-2488', 'issn': ['0022-2488', '1089-7658', '1527-2427'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320257', 'host_organization_name': 'American Institute of Physics', 'host_organization_lineage': ['https://openalex.org/P4310320257'], 'host_organization_lineage_names': ['American Institute of Physics'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref', 'datacite'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': 'http://arxiv.org/pdf/math-ph/0402061', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5001289757', 'display_name': 'Makoto Katori', 'orcid': 'https://orcid.org/0000-0002-4053-6008'}, 'institutions': [{'id': 'https://openalex.org/I96679780', 'display_name': 'Chuo University', 'ror': 'https://ror.org/03qvqb743', 'country_code': 'JP', 'type': 'education', 'lineage': ['https://openalex.org/I96679780']}], 'countries': ['JP'], 'is_corresponding': False, 'raw_author_name': 'Makoto Katori', 'raw_affiliation_strings': ['Department of Physics, Faculty of Science and Engineering, Chuo University, Kasuga, Bunkyo-ku, Tokyo\u2009112-8551, Japan'], 'affiliations': [{'raw_affiliation_string': 'Department of Physics, Faculty of Science and Engineering, Chuo University, Kasuga, Bunkyo-ku, Tokyo\u2009112-8551, Japan', 'institution_ids': ['https://openalex.org/I96679780']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5102813387', 'display_name': 'Hideki Tanemura', 'orcid': 'https://orcid.org/0000-0002-2339-7931'}, 'institutions': [{'id': 'https://openalex.org/I159385669', 'display_name': 'Chiba University', 'ror': 'https://ror.org/01hjzeq58', 'country_code': 'JP', 'type': 'education', 'lineage': ['https://openalex.org/I159385669']}], 'countries': ['JP'], 'is_corresponding': False, 'raw_author_name': 'Hideki Tanemura', 'raw_affiliation_strings': ['Department of Mathematics and Informatics, Faculty of Science, Chiba University, 1-33 Yayoi-cho, Inage-ku, Chiba\u2009263-8522, Japan'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics and Informatics, Faculty of Science, Chiba University, 1-33 Yayoi-cho, Inage-ku, Chiba\u2009263-8522, Japan', 'institution_ids': ['https://openalex.org/I159385669']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 2, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 3.359, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 125, 'citation_normalized_percentile': {'value': 0.952428, 'is_in_top_1_percent': False, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 97, 'max': 98}, 'biblio': {'volume': '45', 'issue': '8', 'first_page': '3058', 'last_page': '3085'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11716', 'display_name': 'Random Matrices and Applications', 'score': 0.9999, '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'}}, 'topics': [{'id': 'https://openalex.org/T11716', 'display_name': 'Random Matrices and Applications', 'score': 0.9999, '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/T10948', 'display_name': 'Advanced Combinatorial Mathematics', 'score': 0.9863, 'subfield': {'id': 'https://openalex.org/subfields/2607', 'display_name': 'Discrete Mathematics and Combinatorics'}, '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/T11901', 'display_name': 'Bayesian Methods and Mixture Models', 'score': 0.9804, 'subfield': {'id': 'https://openalex.org/subfields/1702', 'display_name': 'Artificial Intelligence'}, '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/matrix', 'display_name': 'Matrix (chemical analysis)', 'score': 0.45264864}, {'id': 'https://openalex.org/keywords/bessel-process', 'display_name': 'Bessel process', 'score': 0.4249409}, {'id': 'https://openalex.org/keywords/stochastic-calculus', 'display_name': 'Stochastic Calculus', 'score': 0.415834}], 'concepts': [{'id': 'https://openalex.org/C64812099', 'wikidata': 'https://www.wikidata.org/wiki/Q176604', 'display_name': 'Random matrix', 'level': 3, 'score': 0.7839271}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.68636185}, {'id': 'https://openalex.org/C112401455', 'wikidata': 'https://www.wikidata.org/wiki/Q178036', 'display_name': 'Brownian motion', 'level': 2, 'score': 0.6392805}, {'id': 'https://openalex.org/C158693339', 'wikidata': 'https://www.wikidata.org/wiki/Q190524', 'display_name': 'Eigenvalues and eigenvectors', 'level': 2, 'score': 0.5824674}, {'id': 'https://openalex.org/C94940', 'wikidata': 'https://www.wikidata.org/wiki/Q652941', 'display_name': 'Hermitian matrix', 'level': 2, 'score': 0.5421972}, {'id': 'https://openalex.org/C68710425', 'wikidata': 'https://www.wikidata.org/wiki/Q5275442', 'display_name': 'Diffusion process', 'level': 3, 'score': 0.5343821}, {'id': 'https://openalex.org/C8272713', 'wikidata': 'https://www.wikidata.org/wiki/Q176737', 'display_name': 'Stochastic process', 'level': 2, 'score': 0.49083692}, {'id': 'https://openalex.org/C106487976', 'wikidata': 'https://www.wikidata.org/wiki/Q685816', 'display_name': 'Matrix (chemical analysis)', 'level': 2, 'score': 0.45264864}, {'id': 'https://openalex.org/C118532472', 'wikidata': 'https://www.wikidata.org/wiki/Q4896405', 'display_name': 'Bessel process', 'level': 5, 'score': 0.4249409}, {'id': 'https://openalex.org/C63331456', 'wikidata': 'https://www.wikidata.org/wiki/Q1308570', 'display_name': 'Stochastic calculus', 'level': 4, 'score': 0.415834}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.39255333}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.36069113}, {'id': 'https://openalex.org/C121864883', 'wikidata': 'https://www.wikidata.org/wiki/Q677916', 'display_name': 'Statistical physics', 'level': 1, 'score': 0.34922296}, {'id': 'https://openalex.org/C10628310', 'wikidata': 'https://www.wikidata.org/wiki/Q619458', 'display_name': 'Orthogonal polynomials', 'level': 2, 'score': 0.23414555}, {'id': 'https://openalex.org/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.18723658}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.16721332}, {'id': 'https://openalex.org/C78045399', 'wikidata': 'https://www.wikidata.org/wiki/Q11214', 'display_name': 'Differential equation', 'level': 2, 'score': 0.1645259}, {'id': 'https://openalex.org/C84629840', 'wikidata': 'https://www.wikidata.org/wiki/Q16979017', 'display_name': 'Stochastic partial differential equation', 'level': 3, 'score': 0.15651691}, {'id': 'https://openalex.org/C105795698', 'wikidata': 'https://www.wikidata.org/wiki/Q12483', 'display_name': 'Statistics', 'level': 1, 'score': 0.090749264}, {'id': 'https://openalex.org/C21736991', 'wikidata': 'https://www.wikidata.org/wiki/Q17006917', 'display_name': 'Classical orthogonal polynomials', 'level': 3, 'score': 0.0}, {'id': 'https://openalex.org/C56739046', 'wikidata': 'https://www.wikidata.org/wiki/Q192060', 'display_name': 'Knowledge management', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C3017618536', 'wikidata': 'https://www.wikidata.org/wiki/Q304994', 'display_name': 'Innovation diffusion', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C192562407', 'wikidata': 'https://www.wikidata.org/wiki/Q228736', 'display_name': 'Materials science', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C78540521', 'wikidata': 'https://www.wikidata.org/wiki/Q1498246', 'display_name': 'Gegenbauer polynomials', 'level': 4, '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/C159985019', 'wikidata': 'https://www.wikidata.org/wiki/Q181790', 'display_name': 'Composite material', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 4, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1063/1.1765215', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S158241587', 'display_name': 'Journal of Mathematical Physics', 'issn_l': '0022-2488', 'issn': ['0022-2488', '1089-7658', '1527-2427'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320257', 'host_organization_name': 'American Institute of Physics', 'host_organization_lineage': ['https://openalex.org/P4310320257'], 'host_organization_lineage_names': ['American Institute of Physics'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'http://arxiv.org/abs/math-ph/0402061', 'pdf_url': 'http://arxiv.org/pdf/math-ph/0402061', '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': None, 'pdf_url': 'http://arxiv.org/pdf/math-ph/0402061v2.pdf', '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': False, 'landing_page_url': 'https://api.datacite.org/dois/10.48550/arxiv.math-ph/0402061', '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': 'http://arxiv.org/abs/math-ph/0402061', 'pdf_url': 'http://arxiv.org/pdf/math-ph/0402061', '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}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': ['https://openalex.org/W1977136767', 'https://openalex.org/W3099319887'], 'referenced_works_count': 59, 'referenced_works': ['https://openalex.org/W1528946541', 'https://openalex.org/W1534413569', 'https://openalex.org/W1545370368', 'https://openalex.org/W1553824818', 'https://openalex.org/W1577627982', 'https://openalex.org/W1963655044', 'https://openalex.org/W1978864992', 'https://openalex.org/W1979836143', 'https://openalex.org/W1983894121', 'https://openalex.org/W1984449349', 'https://openalex.org/W1988076732', 'https://openalex.org/W1988900733', 'https://openalex.org/W1992534979', 'https://openalex.org/W1995097429', 'https://openalex.org/W1996097431', 'https://openalex.org/W1999320979', 'https://openalex.org/W2003082715', 'https://openalex.org/W2009751674', 'https://openalex.org/W2010483594', 'https://openalex.org/W2014958370', 'https://openalex.org/W2018732562', 'https://openalex.org/W2023322777', 'https://openalex.org/W2029641002', 'https://openalex.org/W2035570153', 'https://openalex.org/W203721965', 'https://openalex.org/W2038188685', 'https://openalex.org/W2038547964', 'https://openalex.org/W2038652661', 'https://openalex.org/W2040145152', 'https://openalex.org/W2050134343', 'https://openalex.org/W2056627201', 'https://openalex.org/W2062327077', 'https://openalex.org/W2062444920', 'https://openalex.org/W2063336596', 'https://openalex.org/W2063987903', 'https://openalex.org/W2074323571', 'https://openalex.org/W2075711147', 'https://openalex.org/W2081018009', 'https://openalex.org/W2082398151', 'https://openalex.org/W2090589015', 'https://openalex.org/W2100633843', 'https://openalex.org/W2131324007', 'https://openalex.org/W2134984950', 'https://openalex.org/W2165429673', 'https://openalex.org/W2290821308', 'https://openalex.org/W2319985292', 'https://openalex.org/W2320171901', 'https://openalex.org/W2479044238', 'https://openalex.org/W2593571229', 'https://openalex.org/W2914659449', 'https://openalex.org/W3021914285', 'https://openalex.org/W3099071008', 'https://openalex.org/W3099407112', 'https://openalex.org/W3099968882', 'https://openalex.org/W3100963884', 'https://openalex.org/W3104639116', 'https://openalex.org/W3106398969', 'https://openalex.org/W4248658188', 'https://openalex.org/W4256542041'], 'related_works': ['https://openalex.org/W4385810767', 'https://openalex.org/W4366732362', 'https://openalex.org/W3209751131', 'https://openalex.org/W3099782216', 'https://openalex.org/W3099478183', 'https://openalex.org/W2952374288', 'https://openalex.org/W2475665168', 'https://openalex.org/W2072321776', 'https://openalex.org/W2022659332', 'https://openalex.org/W1968062933'], 'abstract_inverted_index': {'As': [0, 101], 'an': [1], 'extension': [2], 'of': [3, 6, 22, 50, 55, 63, 68, 76, 80, 96, 104, 109, 123, 126, 131], 'the': [4, 12, 32, 41, 56, 77, 84, 93, 127], 'theory': [5], "Dyson's": [7], 'Brownian': [8, 43], 'motion': [9], 'models': [10], 'for': [11], 'standard': [13], 'Gaussian': [14], 'random-matrix': [15, 36], 'ensembles,': [16], 'we': [17, 45], 'report': [18], 'a': [19, 47, 60, 102, 110, 116, 120, 124], 'systematic': [20], 'study': [21], 'hermitian': [23], 'matrix-valued': [24], 'processes': [25, 29, 58], 'and': [26, 34, 59, 72, 115], 'their': [27], 'eigenvalue': [28, 81, 113], 'associated': [30], 'with': [31], 'chiral': [33], 'nonstandard': [35], 'ensembles.': [37], 'In': [38], 'addition': [39], 'to': [40], 'noncolliding': [42, 53, 66, 117], 'motions,': [44], 'introduce': [46], 'one-parameter': [48], 'family': [49, 62], 'temporally': [51, 64, 111], 'homogeneous': [52], 'systems': [54, 67], 'Bessel': [57], 'two-parameter': [61], 'inhomogeneous': [65, 112], "Yor's": [69], 'generalized': [70], 'meanders': [71], 'show': [73], 'that': [74], 'all': [75], 'ten': [78], 'classes': [79], 'statistics': [82], 'in': [83, 92, 107], 'Altland-Zirnbauer': [85], 'classification': [86], 'are': [87], 'realized': [88], 'as': [89], 'particle': [90, 99], 'distributions': [91], 'special': [94], 'cases': [95], 'these': [97], 'diffusion': [98, 118], 'systems.': [100], 'corollary': [103], 'each': [105], 'equivalence': [106], 'distribution': [108], 'process': [114], 'process,': [119], 'stochastic-calculus': [121], 'proof': [122], 'version': [125], 'Harish-Chandra': [128], '(Itzykson-Zuber)': [129], 'formula': [130], 'integral': [132], 'over': [133], 'unitary': [134], 'group': [135], 'is': [136], 'established.': [137]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W1977136767', 'counts_by_year': [{'year': 2024, 'cited_by_count': 3}, {'year': 2023, 'cited_by_count': 3}, {'year': 2022, 'cited_by_count': 6}, {'year': 2021, 'cited_by_count': 8}, {'year': 2020, 'cited_by_count': 9}, {'year': 2019, 'cited_by_count': 6}, {'year': 2018, 'cited_by_count': 2}, {'year': 2017, 'cited_by_count': 5}, {'year': 2016, 'cited_by_count': 2}, {'year': 2015, 'cited_by_count': 5}, {'year': 2014, 'cited_by_count': 12}, {'year': 2013, 'cited_by_count': 8}, {'year': 2012, 'cited_by_count': 9}], 'updated_date': '2025-01-11T12:38:28.607985', 'created_date': '2016-06-24'}