Publication Information

{'id': 'https://openalex.org/W4235515609', 'doi': 'https://doi.org/10.1002/9781119608165.ch7', 'title': 'Recurrence and Transience of the “Fractional Random Walk”', 'display_name': 'Recurrence and Transience of the “Fractional Random Walk”', 'publication_year': 2019, 'publication_date': '2019-04-08', 'ids': {'openalex': 'https://openalex.org/W4235515609', 'doi': 'https://doi.org/10.1002/9781119608165.ch7'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1002/9781119608165.ch7', 'pdf_url': None, 'source': None, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'other', 'type_crossref': 'other', 'indexed_in': ['crossref'], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': None, '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': 61}, 'biblio': {'volume': None, 'issue': None, 'first_page': '183', 'last_page': '237'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11152', 'display_name': 'Stochastic processes and statistical mechanics', 'score': 0.9786, '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/T11152', 'display_name': 'Stochastic processes and statistical mechanics', 'score': 0.9786, '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/T13187', 'display_name': 'Diffusion and Search Dynamics', 'score': 0.9765, 'subfield': {'id': 'https://openalex.org/subfields/1312', 'display_name': 'Molecular Biology'}, 'field': {'id': 'https://openalex.org/fields/13', 'display_name': 'Biochemistry, Genetics and Molecular Biology'}, 'domain': {'id': 'https://openalex.org/domains/1', 'display_name': 'Life Sciences'}}, {'id': 'https://openalex.org/T12162', 'display_name': 'Cellular Automata and Applications', 'score': 0.9156, 'subfield': {'id': 'https://openalex.org/subfields/1703', 'display_name': 'Computational Theory and Mathematics'}, '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/lévy-flight', 'display_name': 'Lévy flight', 'score': 0.7846646}, {'id': 'https://openalex.org/keywords/loop-erased-random-walk', 'display_name': 'Loop-erased random walk', 'score': 0.5700441}, {'id': 'https://openalex.org/keywords/anomalous-diffusion', 'display_name': 'Anomalous Diffusion', 'score': 0.54995835}, {'id': 'https://openalex.org/keywords/scaling-limit', 'display_name': 'Scaling limit', 'score': 0.4752909}, {'id': 'https://openalex.org/keywords/lattice', 'display_name': 'Lattice (music)', 'score': 0.44216177}, {'id': 'https://openalex.org/keywords/friedmann–lemaître–robertson–walker-metric', 'display_name': 'Friedmann–Lemaître–Robertson–Walker metric', 'score': 0.41605482}, {'id': 'https://openalex.org/keywords/self-avoiding-walk', 'display_name': 'Self-avoiding walk', 'score': 0.41571888}], 'concepts': [{'id': 'https://openalex.org/C121194460', 'wikidata': 'https://www.wikidata.org/wiki/Q856741', 'display_name': 'Random walk', 'level': 2, 'score': 0.8977473}, {'id': 'https://openalex.org/C118918019', 'wikidata': 'https://www.wikidata.org/wiki/Q4114998', 'display_name': 'Lévy flight', 'level': 3, 'score': 0.7846646}, {'id': 'https://openalex.org/C154072304', 'wikidata': 'https://www.wikidata.org/wiki/Q5747218', 'display_name': 'Heterogeneous random walk in one dimension', 'level': 3, 'score': 0.6712675}, {'id': 'https://openalex.org/C40636538', 'wikidata': 'https://www.wikidata.org/wiki/Q81392', 'display_name': 'Fractal', 'level': 2, 'score': 0.6581794}, {'id': 'https://openalex.org/C121864883', 'wikidata': 'https://www.wikidata.org/wiki/Q677916', 'display_name': 'Statistical physics', 'level': 1, 'score': 0.6447932}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.6202899}, {'id': 'https://openalex.org/C37727645', 'wikidata': 'https://www.wikidata.org/wiki/Q6675770', 'display_name': 'Loop-erased random walk', 'level': 4, 'score': 0.5700441}, {'id': 'https://openalex.org/C164602753', 'wikidata': 'https://www.wikidata.org/wiki/Q567544', 'display_name': 'Anomalous diffusion', 'level': 3, 'score': 0.54995835}, {'id': 'https://openalex.org/C184050105', 'wikidata': 'https://www.wikidata.org/wiki/Q273163', 'display_name': 'Isotropy', 'level': 2, 'score': 0.48660362}, {'id': 'https://openalex.org/C24084028', 'wikidata': 'https://www.wikidata.org/wiki/Q7429781', 'display_name': 'Scaling limit', 'level': 3, 'score': 0.4752909}, {'id': 'https://openalex.org/C99844830', 'wikidata': 'https://www.wikidata.org/wiki/Q102441924', 'display_name': 'Scaling', 'level': 2, 'score': 0.45834988}, {'id': 'https://openalex.org/C2781204021', 'wikidata': 'https://www.wikidata.org/wiki/Q6497091', 'display_name': 'Lattice (music)', 'level': 2, 'score': 0.44216177}, {'id': 'https://openalex.org/C30864177', 'wikidata': 'https://www.wikidata.org/wiki/Q742982', 'display_name': 'Friedmann–Lemaître–Robertson–Walker metric', 'level': 3, 'score': 0.41605482}, {'id': 'https://openalex.org/C155155215', 'wikidata': 'https://www.wikidata.org/wiki/Q7448025', 'display_name': 'Self-avoiding walk', 'level': 3, 'score': 0.41571888}, {'id': 'https://openalex.org/C98763669', 'wikidata': 'https://www.wikidata.org/wiki/Q176645', 'display_name': 'Markov chain', 'level': 2, 'score': 0.4128101}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.2871736}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.16284925}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.13918185}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.114206344}, {'id': 'https://openalex.org/C105795698', 'wikidata': 'https://www.wikidata.org/wiki/Q12483', 'display_name': 'Statistics', 'level': 1, 'score': 0.092529744}, {'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/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C24890656', 'wikidata': 'https://www.wikidata.org/wiki/Q82811', 'display_name': 'Acoustics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C44870925', 'wikidata': 'https://www.wikidata.org/wiki/Q37547', 'display_name': 'Astrophysics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C84999194', 'wikidata': 'https://www.wikidata.org/wiki/Q1', 'display_name': 'Universe', 'level': 2, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1002/9781119608165.ch7', 'pdf_url': None, 'source': None, '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/W4287237752', 'https://openalex.org/W3106176536', 'https://openalex.org/W3104422713', 'https://openalex.org/W3104273620', 'https://openalex.org/W2963354809', 'https://openalex.org/W2316134954', 'https://openalex.org/W2271524906', 'https://openalex.org/W2073171544', 'https://openalex.org/W2062622903', 'https://openalex.org/W186599837'], 'abstract_inverted_index': {'This': [0], 'chapter': [1, 53, 88], 'analyzes': [2], 'some': [3], 'aspects': [4], 'of': [5, 10, 81, 98, 101, 119, 127], 'the': [6, 55, 73, 95, 99, 106, 117, 134], 'remarkably': [7], 'rich': [8], 'dynamics': [9], 'a': [11, 124], '“fractional”': [12], 'random': [13, 21, 34], 'walk': [14, 35], 'strategy,': [15], 'which': [16], 'referred': [17], 'to': [18, 27, 40, 43, 133], 'as': [19, 33], '“fractional': [20], 'walk”': [22], '(FRW).': [23], 'The': [24, 52, 87], 'FRW': [25, 56], 'appears': [26], 'be': [28], 'particularly': [29], 'interesting': [30], 'when': [31], 'applied': [32], 'based': [36], 'search': [37], 'strategy': [38], 'due': [39], 'its': [41], 'relationship': [42], 'anomalous': [44], 'transport': [45], 'and': [46, 49, 59], 'diffusion': [47], 'phenomena': [48], 'Levy': [50], 'flights.': [51], 'explains': [54], 'on': [57, 68, 84], 'periodic': [58], 'infinite': [60, 74], 'd-dimensional': [61], 'cubic': [62], 'primitive': [63], 'lattices': [64], 'with': [65, 90, 131], 'special': [66], 'focus': [67], 'recurrence/transience': [69], 'behavior': [70], 'emerging': [71], 'in': [72, 94, 109], 'lattice': [75], 'limit.': [76], 'It': [77, 114], 'describes': [78], 'basic': [79], 'features': [80], 'Markovian': [82], 'walks': [83], 'regular': [85], 'networks.': [86], 'deals': [89], 'asymptotic': [91], 'fractal': [92, 126], 'scaling': [93], 'transient': [96], 'regime': [97], 'set': [100, 118], 'distinct': [102, 120], 'nodes': [103, 121], 'visited': [104, 122], 'by': [105], 'fractional': [107], 'walker': [108], 'an': [110], 'infinitely': [111], 'long': [112], 'walk.': [113], 'shows': [115], 'that': [116], 'constitutes': [123], 'stochastic': [125], 'isotropic': [128], '(spherical)': [129], 'symmetry': [130], 'respect': [132], 'departure': [135], 'node.': [136]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W4235515609', 'counts_by_year': [], 'updated_date': '2024-12-12T06:53:50.981714', 'created_date': '2022-05-12'}