Publication Information

{'id': 'https://openalex.org/W2952886576', 'doi': 'https://doi.org/10.48550/arxiv.0709.3790', 'title': 'On Anosov diffeomorphisms with asymptotically conformal periodic data', 'display_name': 'On Anosov diffeomorphisms with asymptotically conformal periodic data', 'publication_year': 2007, 'publication_date': '2007-01-01', 'ids': {'openalex': 'https://openalex.org/W2952886576', 'doi': 'https://doi.org/10.48550/arxiv.0709.3790', 'mag': '2952886576'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/0709.3790', 'pdf_url': None, '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': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'type': 'preprint', 'type_crossref': 'posted-content', 'indexed_in': ['datacite'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': 'https://arxiv.org/abs/0709.3790', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5064236321', 'display_name': 'Boris Kalinin', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I83809506', 'display_name': 'University of South Alabama', 'ror': 'https://ror.org/01s7b5y08', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I83809506']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Boris Kalinin', 'raw_affiliation_strings': ['Department of Mathematics and Statistics, University of South Alabama, Mobile, AL 36688, USA'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics and Statistics, University of South Alabama, Mobile, AL 36688, USA', 'institution_ids': ['https://openalex.org/I83809506']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5034245555', 'display_name': 'Victoria Sadovskaya', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I83809506', 'display_name': 'University of South Alabama', 'ror': 'https://ror.org/01s7b5y08', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I83809506']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Victoria Sadovskaya', 'raw_affiliation_strings': ['Department of Mathematics and Statistics, University of South Alabama, Mobile, AL 36688, USA'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics and Statistics, University of South Alabama, Mobile, AL 36688, USA', 'institution_ids': ['https://openalex.org/I83809506']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': None, 'has_fulltext': False, 'cited_by_count': 1, 'citation_normalized_percentile': {'value': 0.520031, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 63, 'max': 70}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10588', 'display_name': 'Mathematical Dynamics and Fractals', '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/T10588', 'display_name': 'Mathematical Dynamics and Fractals', '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/T11261', 'display_name': 'Quantum chaos and dynamical systems', 'score': 0.9913, 'subfield': {'id': 'https://openalex.org/subfields/3109', 'display_name': 'Statistical and Nonlinear Physics'}, 'field': {'id': 'https://openalex.org/fields/31', 'display_name': 'Physics and Astronomy'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T10244', 'display_name': 'Chaos control and synchronization', 'score': 0.9749, 'subfield': {'id': 'https://openalex.org/subfields/3109', 'display_name': 'Statistical and Nonlinear Physics'}, 'field': {'id': 'https://openalex.org/fields/31', 'display_name': 'Physics and Astronomy'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [], 'concepts': [{'id': 'https://openalex.org/C98214594', 'wikidata': 'https://www.wikidata.org/wiki/Q850275', 'display_name': 'Conformal map', 'level': 2, 'score': 0.87981886}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.5011306}, {'id': 'https://openalex.org/C127313418', 'wikidata': 'https://www.wikidata.org/wiki/Q1069', 'display_name': 'Geology', 'level': 0, 'score': 0.43734118}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.396585}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.3214675}], 'mesh': [], 'locations_count': 2, 'locations': [{'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/0709.3790', 'pdf_url': None, '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': '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.0709.3790', '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://arxiv.org/abs/0709.3790', 'pdf_url': None, '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': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 7, 'referenced_works': ['https://openalex.org/W2002848328', 'https://openalex.org/W2007985437', 'https://openalex.org/W2022794688', 'https://openalex.org/W2081817659', 'https://openalex.org/W2086281363', 'https://openalex.org/W2161441641', 'https://openalex.org/W2327827544'], 'related_works': ['https://openalex.org/W4391375266', 'https://openalex.org/W4238204885', 'https://openalex.org/W3002753104', 'https://openalex.org/W2600246793', 'https://openalex.org/W2142036596', 'https://openalex.org/W2077600819', 'https://openalex.org/W2072657027', 'https://openalex.org/W2061531152', 'https://openalex.org/W2007980826', 'https://openalex.org/W1979597421'], 'abstract_inverted_index': {'We': [0, 19, 45, 69, 99], 'consider': [1], 'transitive': [2], 'Anosov': [3, 33, 84, 107], 'diffeomorphisms': [4, 52, 108], 'for': [5, 96, 106], 'which': [6], 'every': [7], 'periodic': [8, 67], 'orbit': [9], 'has': [10], 'only': [11], 'one': [12, 15], 'positive': [13], 'and': [14, 35, 43, 56, 59], 'negative': [16], 'Lyapunov': [17], 'exponent.': [18], 'establish': [20, 101], 'various': [21], 'properties': [22], 'of': [23, 31, 38, 62, 75, 86], 'such': [24, 76, 97], 'systems': [25], 'including': [26], 'strong': [27], 'pinching,': [28], 'C^{1+β}': [29], 'smoothness': [30, 37], 'the': [32, 63], 'splitting,': [34], 'C^1': [36], 'measurable': [39], 'invariant': [40], 'conformal': [41], 'structures': [42], 'distributions.': [44], 'apply': [46], 'these': [47], 'results': [48], 'to': [49, 82], 'volume': [50], 'preserving': [51], 'with': [53], 'two-dimensional': [54], 'stable': [55], 'unstable': [57], 'distributions': [58], 'diagonalizable': [60], 'derivatives': [61], 'return': [64], 'maps': [65], 'at': [66], 'points.': [68], 'show': [70], 'that': [71], 'a': [72, 77, 87, 90, 102], 'finite': [73], 'cover': [74], 'diffeomorphism': [78], 'is': [79], 'smoothly': [80], 'conjugate': [81], 'an': [83], 'automorphism': [85], 'torus.': [88], 'As': [89], 'corollary': [91], 'we': [92], 'obtain': [93], 'local': [94, 103], 'rigidity': [95, 104], 'diffeomorphisms.': [98], 'also': [100], 'result': [105], 'in': [109], 'dimension': [110], 'three.': [111]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2952886576', 'counts_by_year': [], 'updated_date': '2024-12-14T22:16:08.748046', 'created_date': '2019-06-27'}