{"id":"https://openalex.org/W2084509214","doi":"https://doi.org/10.1007/bf01613617","title":"Valuations, regular expressions, and fractal geometry","display_name":"Valuations, regular expressions, and fractal geometry","publication_year":1996,"publication_date":"1996-01-01","ids":{"openalex":"https://openalex.org/W2084509214","doi":"https://doi.org/10.1007/bf01613617","mag":"2084509214"},"language":"en","primary_location":{"id":"doi:10.1007/bf01613617","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01613617","pdf_url":null,"source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applicable Algebra in Engineering, Communication and Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015688812","display_name":"Henning Fernau","orcid":"https://orcid.org/0000-0002-4444-3220"},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Henning Fernau","raw_affiliation_strings":["Lehrstuhl Informatik f\u00fcr Ingenieure und Naturwissenschaftler, Universit\u00e4t Karlsruhe TH, D-76128, Karlsruhe, Germany","Lehrstuhl Informatik f\u00fcr Ingenieure und Naturwissenschaftler, Universit\u00e4t Karlsruhe TH, Karlsruhe, Germany"],"affiliations":[{"raw_affiliation_string":"Lehrstuhl Informatik f\u00fcr Ingenieure und Naturwissenschaftler, Universit\u00e4t Karlsruhe TH, D-76128, Karlsruhe, Germany","institution_ids":["https://openalex.org/I102335020"]},{"raw_affiliation_string":"Lehrstuhl Informatik f\u00fcr Ingenieure und Naturwissenschaftler, Universit\u00e4t Karlsruhe TH, Karlsruhe, Germany","institution_ids":["https://openalex.org/I102335020"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5015688812"],"corresponding_institution_ids":["https://openalex.org/I102335020"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.5561,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.64504154,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"7","issue":"1","first_page":"59","last_page":"75"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9980999827384949,"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":0.9980999827384949,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9807000160217285,"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"}},{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9800999760627747,"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/morphism","display_name":"Morphism","score":0.8330968618392944},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7318300008773804},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6712254285812378},{"id":"https://openalex.org/keywords/bernoullis-principle","display_name":"Bernoulli's principle","score":0.6301438808441162},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5977766513824463},{"id":"https://openalex.org/keywords/fractal","display_name":"Fractal","score":0.5851947069168091},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.4771256446838379},{"id":"https://openalex.org/keywords/hausdorff-space","display_name":"Hausdorff space","score":0.4753125309944153},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4457821249961853},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.4377368986606598},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34511733055114746},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3237406015396118},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14767986536026}],"concepts":[{"id":"https://openalex.org/C137212723","wikidata":"https://www.wikidata.org/wiki/Q1948412","display_name":"Morphism","level":2,"score":0.8330968618392944},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7318300008773804},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6712254285812378},{"id":"https://openalex.org/C152361515","wikidata":"https://www.wikidata.org/wiki/Q181328","display_name":"Bernoulli's principle","level":2,"score":0.6301438808441162},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5977766513824463},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.5851947069168091},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.4771256446838379},{"id":"https://openalex.org/C191399826","wikidata":"https://www.wikidata.org/wiki/Q326908","display_name":"Hausdorff space","level":2,"score":0.4753125309944153},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4457821249961853},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.4377368986606598},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34511733055114746},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3237406015396118},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14767986536026},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf01613617","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01613617","pdf_url":null,"source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applicable Algebra in Engineering, Communication and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1506437980","https://openalex.org/W1562007601","https://openalex.org/W1973215147","https://openalex.org/W1982137181","https://openalex.org/W1982507158","https://openalex.org/W1986891141","https://openalex.org/W2001496266","https://openalex.org/W2026134631","https://openalex.org/W2037185109","https://openalex.org/W2042720934","https://openalex.org/W2050657320","https://openalex.org/W2055926708","https://openalex.org/W2066534994","https://openalex.org/W2078206416","https://openalex.org/W2090388686","https://openalex.org/W2099540492","https://openalex.org/W2128192154","https://openalex.org/W2167473451","https://openalex.org/W2177838312","https://openalex.org/W2339378878","https://openalex.org/W2800860906","https://openalex.org/W4249303767","https://openalex.org/W4256547944"],"related_works":["https://openalex.org/W2952244080","https://openalex.org/W1481670130","https://openalex.org/W856865640","https://openalex.org/W2768503191","https://openalex.org/W2139158010","https://openalex.org/W2328639173","https://openalex.org/W26434650","https://openalex.org/W1625367312","https://openalex.org/W2526213930","https://openalex.org/W3100593643"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
