Publication Information

{'id': 'https://openalex.org/W2950261527', 'doi': 'https://doi.org/10.48550/arxiv.1701.04369', 'title': 'Arithmetic degrees and dynamical degrees of endomorphisms on surfaces', 'display_name': 'Arithmetic degrees and dynamical degrees of endomorphisms on surfaces', 'publication_year': 2017, 'publication_date': '2017-01-01', 'ids': {'openalex': 'https://openalex.org/W2950261527', 'doi': 'https://doi.org/10.48550/arxiv.1701.04369', 'mag': '2950261527'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1701.04369', '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': ['arxiv', 'datacite'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': 'https://arxiv.org/abs/1701.04369', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5103255172', 'display_name': 'Yohsuke Matsuzawa', 'orcid': 'https://orcid.org/0000-0002-3901-8246'}, 'institutions': [{'id': 'https://openalex.org/I74801974', 'display_name': 'The University of Tokyo', 'ror': 'https://ror.org/057zh3y96', 'country_code': 'JP', 'type': 'education', 'lineage': ['https://openalex.org/I74801974']}], 'countries': ['JP'], 'is_corresponding': False, 'raw_author_name': 'Yohsuke Matsuzawa', 'raw_affiliation_strings': ['Graduate School of Mathematical Sciences , University of Tokyo , Komaba, Tokyo, Japan'], 'affiliations': [{'raw_affiliation_string': 'Graduate School of Mathematical Sciences , University of Tokyo , Komaba, Tokyo, Japan', 'institution_ids': ['https://openalex.org/I74801974']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5059272870', 'display_name': 'Kaoru Sano', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I22299242', 'display_name': 'Kyoto University', 'ror': 'https://ror.org/02kpeqv85', 'country_code': 'JP', 'type': 'education', 'lineage': ['https://openalex.org/I22299242']}], 'countries': ['JP'], 'is_corresponding': False, 'raw_author_name': 'Kaoru Sano', 'raw_affiliation_strings': ['Department of Mathematics, Faculty of Science, Kyoto University, Japan'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, Faculty of Science, Kyoto University, Japan', 'institution_ids': ['https://openalex.org/I22299242']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5102361802', 'display_name': 'Takahiro Shibata', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I22299242', 'display_name': 'Kyoto University', 'ror': 'https://ror.org/02kpeqv85', 'country_code': 'JP', 'type': 'education', 'lineage': ['https://openalex.org/I22299242']}], 'countries': ['JP'], 'is_corresponding': False, 'raw_author_name': 'Takahiro Shibata', 'raw_affiliation_strings': ['Department of Mathematics, Faculty of Science, Kyoto University, Japan'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, Faculty of Science, Kyoto University, Japan', 'institution_ids': ['https://openalex.org/I22299242']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 2, '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': 0.603779, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 63, 'max': 71}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10061', 'display_name': 'Algebraic Geometry and Number Theory', 'score': 0.9997, 'subfield': {'id': 'https://openalex.org/subfields/2608', 'display_name': 'Geometry and Topology'}, '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/T10061', 'display_name': 'Algebraic Geometry and Number Theory', 'score': 0.9997, 'subfield': {'id': 'https://openalex.org/subfields/2608', 'display_name': 'Geometry and Topology'}, '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/T10588', 'display_name': 'Mathematical Dynamics and Fractals', 'score': 0.9948, '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/T12396', 'display_name': 'Advanced Differential Equations and Dynamical Systems', 'score': 0.9918, 'subfield': {'id': 'https://openalex.org/subfields/2608', 'display_name': 'Geometry and Topology'}, '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/surjective-function', 'display_name': 'Surjective function', 'score': 0.8811507}, {'id': 'https://openalex.org/keywords/projective-variety', 'display_name': 'Projective variety', 'score': 0.623114}, {'id': 'https://openalex.org/keywords/rational-point', 'display_name': 'Rational point', 'score': 0.60524434}, {'id': 'https://openalex.org/keywords/degree', 'display_name': 'Degree (music)', 'score': 0.58852774}, {'id': 'https://openalex.org/keywords/disjoint-sets', 'display_name': 'Disjoint sets', 'score': 0.56886166}], 'concepts': [{'id': 'https://openalex.org/C116858840', 'wikidata': 'https://www.wikidata.org/wiki/Q1340800', 'display_name': 'Endomorphism', 'level': 2, 'score': 0.95586765}, {'id': 'https://openalex.org/C119238805', 'wikidata': 'https://www.wikidata.org/wiki/Q229102', 'display_name': 'Surjective function', 'level': 2, 'score': 0.8811507}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.84909344}, {'id': 'https://openalex.org/C118712358', 'wikidata': 'https://www.wikidata.org/wiki/Q782566', 'display_name': 'Automorphism', 'level': 2, 'score': 0.6868574}, {'id': 'https://openalex.org/C62139920', 'wikidata': 'https://www.wikidata.org/wiki/Q3554818', 'display_name': 'Projective variety', 'level': 2, 'score': 0.623114}, {'id': 'https://openalex.org/C156330621', 'wikidata': 'https://www.wikidata.org/wiki/Q3393476', 'display_name': 'Rational point', 'level': 3, 'score': 0.60524434}, {'id': 'https://openalex.org/C2775997480', 'wikidata': 'https://www.wikidata.org/wiki/Q586277', 'display_name': 'Degree (music)', 'level': 2, 'score': 0.58852774}, {'id': 'https://openalex.org/C2780990831', 'wikidata': 'https://www.wikidata.org/wiki/Q319141', 'display_name': 'Conjecture', 'level': 2, 'score': 0.58650595}, {'id': 'https://openalex.org/C45340560', 'wikidata': 'https://www.wikidata.org/wiki/Q215382', 'display_name': 'Disjoint sets', 'level': 2, 'score': 0.56886166}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.5284134}, {'id': 'https://openalex.org/C12657307', 'wikidata': 'https://www.wikidata.org/wiki/Q616608', 'display_name': 'Algebraic number field', 'level': 2, 'score': 0.4201395}, {'id': 'https://openalex.org/C118615104', 'wikidata': 'https://www.wikidata.org/wiki/Q121416', 'display_name': 'Discrete mathematics', 'level': 1, 'score': 0.38424292}, {'id': 'https://openalex.org/C9376300', 'wikidata': 'https://www.wikidata.org/wiki/Q168817', 'display_name': 'Algebraic number', 'level': 2, 'score': 0.15946767}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.15133598}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C24890656', 'wikidata': 'https://www.wikidata.org/wiki/Q82811', 'display_name': 'Acoustics', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 4, 'locations': [{'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1701.04369', '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': True, 'landing_page_url': 'http://arxiv.org/abs/1701.04369', 'pdf_url': 'http://arxiv.org/pdf/1701.04369', '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': 'https://projecteuclid.org/euclid.ant/1541732436', 'pdf_url': 'https://projecteuclid.org/journals/algebra-and-number-theory/volume-12/issue-7/Arithmetic-degrees-and-dynamical-degrees-of-endomorphisms-on-surfaces/10.2140/ant.2018.12.1635.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': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, {'is_oa': False, 'landing_page_url': 'https://api.datacite.org/dois/10.48550/arxiv.1701.04369', '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/1701.04369', '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': 20, 'referenced_works': ['https://openalex.org/W1543121689', 'https://openalex.org/W173819425', 'https://openalex.org/W1988110349', 'https://openalex.org/W2001962424', 'https://openalex.org/W2024348588', 'https://openalex.org/W2026319768', 'https://openalex.org/W2046582509', 'https://openalex.org/W2055412508', 'https://openalex.org/W2065245849', 'https://openalex.org/W2111945222', 'https://openalex.org/W2119552535', 'https://openalex.org/W2132747751', 'https://openalex.org/W2221258306', 'https://openalex.org/W2326792270', 'https://openalex.org/W2414336078', 'https://openalex.org/W2944805646', 'https://openalex.org/W2962725545', 'https://openalex.org/W3098933542', 'https://openalex.org/W3105852763', 'https://openalex.org/W565248971'], 'related_works': ['https://openalex.org/W4386755497', 'https://openalex.org/W4376309379', 'https://openalex.org/W4287645824', 'https://openalex.org/W3214428378', 'https://openalex.org/W3201299414', 'https://openalex.org/W2970062288', 'https://openalex.org/W2964357213', 'https://openalex.org/W2950261527', 'https://openalex.org/W2119552535', 'https://openalex.org/W1982553997'], 'abstract_inverted_index': {'For': [0, 53], 'a': [1, 6, 12, 31, 83], 'dominant': [2], 'rational': [3, 32, 66, 88], 'self-map': [4], 'on': [5, 49, 56], 'smooth': [7, 50, 58], 'projective': [8, 51, 59], 'variety': [9], 'defined': [10], 'over': [11], 'number': [13], 'field,': [14], 'Kawaguchi': [15], 'and': [16, 39], 'Silverman': [17], 'conjectured': [18], 'that': [19, 80], 'the': [20, 27, 63, 74, 94], '(first)': [21], 'dynamical': [22, 75], 'degree': [23, 29], 'is': [24, 37, 96], 'equal': [25, 72], 'to': [26, 73], 'arithmetic': [28, 69], 'at': [30], 'point': [33], 'whose': [34, 68], 'forward': [35], 'orbit': [36], 'well-defined': [38], 'Zariski': [40, 84], 'dense.': [41], 'We': [42], 'prove': [43, 79], 'this': [44], 'conjecture': [45], 'for': [46], 'surjective': [47, 54], 'endomorphisms': [48, 55], 'surfaces.': [52], 'any': [57], 'varieties,': [60], 'we': [61, 78], 'show': [62], 'existence': [64], 'of': [65, 87], 'points': [67, 89], 'degrees': [70], 'are': [71], 'degree.': [76], 'Moreover,': [77], 'there': [81], 'exists': [82], 'dense': [85], 'set': [86], 'having': [90], 'disjoint': [91], 'orbits': [92], 'if': [93], 'endomorphism': [95], 'an': [97], 'automorphism.': [98]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2950261527', 'counts_by_year': [{'year': 2018, 'cited_by_count': 1}], 'updated_date': '2024-12-17T08:11:23.510728', 'created_date': '2019-06-27'}