Publication Information

{'id': 'https://openalex.org/W2117790027', 'doi': 'https://doi.org/10.1002/cpa.21504', 'title': 'Suprema of Chaos Processes and the Restricted Isometry Property', 'display_name': 'Suprema of Chaos Processes and the Restricted Isometry Property', 'publication_year': 2014, 'publication_date': '2014-01-21', 'ids': {'openalex': 'https://openalex.org/W2117790027', 'doi': 'https://doi.org/10.1002/cpa.21504', 'mag': '2117790027'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1002/cpa.21504', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S134818455', 'display_name': 'Communications on Pure and Applied Mathematics', 'issn_l': '0010-3640', 'issn': ['0010-3640', '1097-0312'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320595', 'host_organization_name': 'Wiley', 'host_organization_lineage': ['https://openalex.org/P4310320595'], 'host_organization_lineage_names': ['Wiley'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': 'http://arxiv.org/pdf/1207.0235', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5090264479', 'display_name': 'Felix Krahmer', 'orcid': 'https://orcid.org/0000-0002-1959-5548'}, 'institutions': [{'id': 'https://openalex.org/I74656192', 'display_name': 'University of Göttingen', 'ror': 'https://ror.org/01y9bpm73', 'country_code': 'DE', 'type': 'education', 'lineage': ['https://openalex.org/I74656192']}], 'countries': ['DE'], 'is_corresponding': False, 'raw_author_name': 'Felix Krahmer', 'raw_affiliation_strings': ['Institute for Numerical and Applied Mathematics University of Göttingen Lotzestraße 16‐18 37083 Göttingen Germany'], 'affiliations': [{'raw_affiliation_string': 'Institute for Numerical and Applied Mathematics University of Göttingen Lotzestraße 16‐18 37083 Göttingen Germany', 'institution_ids': ['https://openalex.org/I74656192']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5053455526', 'display_name': 'Shahar Mendelson', 'orcid': 'https://orcid.org/0000-0002-5673-7576'}, 'institutions': [{'id': 'https://openalex.org/I174306211', 'display_name': 'Technion – Israel Institute of Technology', 'ror': 'https://ror.org/03qryx823', 'country_code': 'IL', 'type': 'education', 'lineage': ['https://openalex.org/I174306211']}], 'countries': ['IL'], 'is_corresponding': False, 'raw_author_name': 'Shahar Mendelson', 'raw_affiliation_strings': ['Department of Mathematics Technion Haifa 32000 Israel'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics Technion Haifa 32000 Israel', 'institution_ids': ['https://openalex.org/I174306211']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5005201576', 'display_name': 'Holger Rauhut', 'orcid': 'https://orcid.org/0000-0003-4750-5092'}, 'institutions': [{'id': 'https://openalex.org/I887968799', 'display_name': 'RWTH Aachen University', 'ror': 'https://ror.org/04xfq0f34', 'country_code': 'DE', 'type': 'education', 'lineage': ['https://openalex.org/I887968799']}], 'countries': ['DE'], 'is_corresponding': False, 'raw_author_name': 'Holger Rauhut', 'raw_affiliation_strings': ['RWTH Aachen University Lehrstuhl C für Mathematik (Analysis) Templergraben 55 52062 Aachen Germany'], 'affiliations': [{'raw_affiliation_string': 'RWTH Aachen University Lehrstuhl C für Mathematik (Analysis) Templergraben 55 52062 Aachen Germany', 'institution_ids': ['https://openalex.org/I887968799']}]}], 'institution_assertions': [], 'countries_distinct_count': 2, 'institutions_distinct_count': 3, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': {'value': 4740, 'currency': 'USD', 'value_usd': 4740, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 25.068, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 258, 'citation_normalized_percentile': {'value': 0.999934, 'is_in_top_1_percent': True, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 99, 'max': 100}, 'biblio': {'volume': '67', 'issue': '11', 'first_page': '1877', 'last_page': '1904'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10500', 'display_name': 'Sparse and Compressive Sensing Techniques', 'score': 0.9948, 'subfield': {'id': 'https://openalex.org/subfields/2206', 'display_name': 'Computational Mechanics'}, 'field': {'id': 'https://openalex.org/fields/22', 'display_name': 'Engineering'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T10500', 'display_name': 'Sparse and Compressive Sensing Techniques', 'score': 0.9948, 'subfield': {'id': 'https://openalex.org/subfields/2206', 'display_name': 'Computational Mechanics'}, 'field': {'id': 'https://openalex.org/fields/22', 'display_name': 'Engineering'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T12261', 'display_name': 'Statistical Mechanics and Entropy', 'score': 0.988, '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': 0.9858, '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': [{'id': 'https://openalex.org/keywords/restricted-isometry-property', 'display_name': 'Restricted isometry property', 'score': 0.86735857}, {'id': 'https://openalex.org/keywords/chaining', 'display_name': 'Chaining', 'score': 0.76994336}, {'id': 'https://openalex.org/keywords/isometry', 'display_name': 'Isometry (Riemannian geometry)', 'score': 0.70661867}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.914696}, {'id': 'https://openalex.org/C17902559', 'wikidata': 'https://www.wikidata.org/wiki/Q17099734', 'display_name': 'Restricted isometry property', 'level': 3, 'score': 0.86735857}, {'id': 'https://openalex.org/C49020025', 'wikidata': 'https://www.wikidata.org/wiki/Q1059099', 'display_name': 'Chaining', 'level': 2, 'score': 0.76994336}, {'id': 'https://openalex.org/C82457910', 'wikidata': 'https://www.wikidata.org/wiki/Q740207', 'display_name': 'Isometry (Riemannian geometry)', 'level': 2, 'score': 0.70661867}, {'id': 'https://openalex.org/C115973184', 'wikidata': 'https://www.wikidata.org/wiki/Q245457', 'display_name': 'Circulant matrix', 'level': 2, 'score': 0.5780565}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.48913008}, {'id': 'https://openalex.org/C189950617', 'wikidata': 'https://www.wikidata.org/wiki/Q937228', 'display_name': 'Property (philosophy)', 'level': 2, 'score': 0.4285475}, {'id': 'https://openalex.org/C77553402', 'wikidata': 'https://www.wikidata.org/wiki/Q13222579', 'display_name': 'Upper and lower bounds', 'level': 2, 'score': 0.42286813}, {'id': 'https://openalex.org/C135598885', 'wikidata': 'https://www.wikidata.org/wiki/Q1366302', 'display_name': 'Row', 'level': 2, 'score': 0.4127352}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.41049987}, {'id': 'https://openalex.org/C118615104', 'wikidata': 'https://www.wikidata.org/wiki/Q121416', 'display_name': 'Discrete mathematics', 'level': 1, 'score': 0.34187728}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.24389017}, {'id': 'https://openalex.org/C11413529', 'wikidata': 'https://www.wikidata.org/wiki/Q8366', 'display_name': 'Algorithm', 'level': 1, 'score': 0.18985692}, {'id': 'https://openalex.org/C124851039', 'wikidata': 'https://www.wikidata.org/wiki/Q2665459', 'display_name': 'Compressed sensing', 'level': 2, 'score': 0.14785063}, {'id': 'https://openalex.org/C15744967', 'wikidata': 'https://www.wikidata.org/wiki/Q9418', 'display_name': 'Psychology', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C138885662', 'wikidata': 'https://www.wikidata.org/wiki/Q5891', 'display_name': 'Philosophy', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C111472728', 'wikidata': 'https://www.wikidata.org/wiki/Q9471', 'display_name': 'Epistemology', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C77088390', 'wikidata': 'https://www.wikidata.org/wiki/Q8513', 'display_name': 'Database', 'level': 1, '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/C542102704', 'wikidata': 'https://www.wikidata.org/wiki/Q183257', 'display_name': 'Psychotherapist', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 5, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1002/cpa.21504', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S134818455', 'display_name': 'Communications on Pure and Applied Mathematics', 'issn_l': '0010-3640', 'issn': ['0010-3640', '1097-0312'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320595', 'host_organization_name': 'Wiley', 'host_organization_lineage': ['https://openalex.org/P4310320595'], 'host_organization_lineage_names': ['Wiley'], '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/1207.0235', 'pdf_url': 'http://arxiv.org/pdf/1207.0235', '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/1207.0235.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': True, 'landing_page_url': 'https://arxiv.org/abs/1207.0235', 'pdf_url': 'https://arxiv.org/pdf/1207.0235', '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': 'http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.409.1838', 'pdf_url': 'http://num.math.uni-goettingen.de/~f.krahmer/KMR12.pdf', 'source': {'id': 'https://openalex.org/S4306400349', 'display_name': 'CiteSeer X (The Pennsylvania State University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I130769515', 'host_organization_name': 'Pennsylvania State University', 'host_organization_lineage': ['https://openalex.org/I130769515'], 'host_organization_lineage_names': ['Pennsylvania State University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'http://arxiv.org/abs/1207.0235', 'pdf_url': 'http://arxiv.org/pdf/1207.0235', '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': [{'funder': 'https://openalex.org/F4320322252', 'funder_display_name': 'Israel Science Foundation', 'award_id': '900/10'}, {'funder': 'https://openalex.org/F4320334678', 'funder_display_name': 'European Research Council', 'award_id': '203134'}, {'funder': 'https://openalex.org/F4320334704', 'funder_display_name': 'Australian Research Council', 'award_id': 'DP0986563'}], 'datasets': [], 'versions': [], 'referenced_works_count': 51, 'referenced_works': ['https://openalex.org/W119997944', 'https://openalex.org/W1484715564', 'https://openalex.org/W1507545330', 'https://openalex.org/W1535629693', 'https://openalex.org/W1555319958', 'https://openalex.org/W1605417594', 'https://openalex.org/W188867022', 'https://openalex.org/W1964718108', 'https://openalex.org/W1966637115', 'https://openalex.org/W1967134148', 'https://openalex.org/W1977520307', 'https://openalex.org/W1986931325', 'https://openalex.org/W1991581965', 'https://openalex.org/W2011674194', 'https://openalex.org/W2025655594', 'https://openalex.org/W2030449718', 'https://openalex.org/W2054062969', 'https://openalex.org/W2055064119', 'https://openalex.org/W2056625421', 'https://openalex.org/W2066086960', 'https://openalex.org/W2069776505', 'https://openalex.org/W2071824193', 'https://openalex.org/W2080872718', 'https://openalex.org/W2091893102', 'https://openalex.org/W2092074494', 'https://openalex.org/W2121194215', 'https://openalex.org/W2129638195', 'https://openalex.org/W2135269774', 'https://openalex.org/W2136152309', 'https://openalex.org/W2137628444', 'https://openalex.org/W2140122025', 'https://openalex.org/W2145096794', 'https://openalex.org/W2164452299', 'https://openalex.org/W22665754', 'https://openalex.org/W2289917018', 'https://openalex.org/W2296616510', 'https://openalex.org/W2480981092', 'https://openalex.org/W2556237558', 'https://openalex.org/W2913359901', 'https://openalex.org/W2962683872', 'https://openalex.org/W2963262327', 'https://openalex.org/W2963302510', 'https://openalex.org/W2963322354', 'https://openalex.org/W2963705996', 'https://openalex.org/W2965497096', 'https://openalex.org/W3000082297', 'https://openalex.org/W4205390861', 'https://openalex.org/W4246350460', 'https://openalex.org/W4250955649', 'https://openalex.org/W4251232133', 'https://openalex.org/W47132403'], 'related_works': ['https://openalex.org/W4237430004', 'https://openalex.org/W2975405901', 'https://openalex.org/W2951968883', 'https://openalex.org/W2741884985', 'https://openalex.org/W2319106891', 'https://openalex.org/W2151106956', 'https://openalex.org/W2145432339', 'https://openalex.org/W2122469757', 'https://openalex.org/W2053585106', 'https://openalex.org/W2025666718'], 'abstract_inverted_index': {'We': [0], 'present': [1], 'a': [2, 8, 16, 24], 'new': [3], 'bound': [4], 'for': [5, 34], 'suprema': [6], 'of': [7, 11, 18, 39, 59, 63], 'special': [9], 'type': [10], 'chaos': [12], 'process': [13], 'indexed': [14], 'by': [15], 'set': [17], 'matrices,': [19], 'which': [20], 'is': [21, 72], 'based': [22], 'on': [23, 55], 'chaining': [25], 'method.': [26], 'As': [27], 'applications': [28], 'we': [29], 'show': [30], 'significantly': [31], 'improved': [32], 'estimates': [33], 'the': [35, 52, 56, 64, 68], 'restricted': [36], 'isometry': [37], 'constants': [38], 'partial': [40], 'random': [41, 47], 'circulant': [42], 'matrices': [43], 'and': [44, 67], 'time‐frequency': [45], 'structured': [46], 'matrices.': [48], 'In': [49], 'both': [50], 'cases': [51], 'required': [53], 'condition': [54], 'number': [57], 'm': [58, 73], 'rows': [60], 'in': [61], 'terms': [62], 'sparsity': [65], 's': [66, 75, 78], 'vector': [69], 'length': [70], 'n': [71, 81], '≳': [74], 'log': [76, 79], '2': [77, 80], '.': [82], '©': [83], '2014': [84], 'Wiley': [85], 'Periodicals,': [86], 'Inc.': [87]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2117790027', 'counts_by_year': [{'year': 2024, 'cited_by_count': 6}, {'year': 2023, 'cited_by_count': 6}, {'year': 2022, 'cited_by_count': 9}, {'year': 2021, 'cited_by_count': 61}, {'year': 2020, 'cited_by_count': 19}, {'year': 2019, 'cited_by_count': 31}, {'year': 2018, 'cited_by_count': 18}, {'year': 2017, 'cited_by_count': 22}, {'year': 2016, 'cited_by_count': 22}, {'year': 2015, 'cited_by_count': 30}, {'year': 2014, 'cited_by_count': 20}, {'year': 2013, 'cited_by_count': 12}, {'year': 2012, 'cited_by_count': 2}], 'updated_date': '2025-01-08T09:45:40.396848', 'created_date': '2016-06-24'}