{"id":"https://openalex.org/W2305077716","doi":"https://doi.org/10.1007/978-3-319-67885-6_5","title":"Simplicial Complex Entropy","display_name":"Simplicial Complex Entropy","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2305077716","doi":"https://doi.org/10.1007/978-3-319-67885-6_5","mag":"2305077716"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-67885-6_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-67885-6_5","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1603.07135","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5038346780","display_name":"Stefan Dantchev","orcid":"https://orcid.org/0000-0003-4534-2242"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Stefan Dantchev","raw_affiliation_strings":["Duarham University, Durham, UK","Duarham University"],"affiliations":[{"raw_affiliation_string":"Duarham University, Durham, UK","institution_ids":[]},{"raw_affiliation_string":"Duarham University","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066817758","display_name":"Ioannis Ivrissimtzis","orcid":"https://orcid.org/0000-0002-3380-1889"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ioannis Ivrissimtzis","raw_affiliation_strings":["Duarham University, Durham, UK","Duarham University"],"affiliations":[{"raw_affiliation_string":"Duarham University, Durham, UK","institution_ids":[]},{"raw_affiliation_string":"Duarham University","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5038346780"],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01024862,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"96","last_page":"107"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9998999834060669,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9948999881744385,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9700999855995178,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/simplicial-complex","display_name":"Simplicial complex","score":0.8846295475959778},{"id":"https://openalex.org/keywords/simplex","display_name":"Simplex","score":0.7362537384033203},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5868209004402161},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5728572010993958},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.46516919136047363},{"id":"https://openalex.org/keywords/binary-entropy-function","display_name":"Binary entropy function","score":0.41978126764297485},{"id":"https://openalex.org/keywords/simplicial-homology","display_name":"Simplicial homology","score":0.4125860929489136},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3280937075614929},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.16446495056152344},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10668101906776428}],"concepts":[{"id":"https://openalex.org/C187929450","wikidata":"https://www.wikidata.org/wiki/Q994399","display_name":"Simplicial complex","level":2,"score":0.8846295475959778},{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.7362537384033203},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5868209004402161},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5728572010993958},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.46516919136047363},{"id":"https://openalex.org/C44415725","wikidata":"https://www.wikidata.org/wiki/Q4913893","display_name":"Binary entropy function","level":3,"score":0.41978126764297485},{"id":"https://openalex.org/C3469331","wikidata":"https://www.wikidata.org/wiki/Q7520902","display_name":"Simplicial homology","level":3,"score":0.4125860929489136},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3280937075614929},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.16446495056152344},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10668101906776428},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/978-3-319-67885-6_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-67885-6_5","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:dro.dur.ac.uk.OAI2:21784","is_oa":false,"landing_page_url":"http://dro.dur.ac.uk/21784/","pdf_url":null,"source":{"id":"https://openalex.org/S4377196258","display_name":"Durham Research Online (Durham University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I190082696","host_organization_name":"Durham University","host_organization_lineage":["https://openalex.org/I190082696"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Floater,  Michael S. & Lyche,  Tom & Mazure,  Marie-Laurence & M\u00f8rken,  Knut & Schumaker,  Larry L. (Eds.). (2017). Mathematical methods for curves and surfaces : 9th International Conference, MMCS 2016, T\u00f8nsberg, Norway, June 23 - June 28, 2016. Revised selected papers. Cham: Springer, pp. 96-107, Lecture notes in computer science(10521)","raw_type":"Book chapter"},{"id":"pmh:oai:arXiv.org:1603.07135","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1603.07135","pdf_url":"https://arxiv.org/pdf/1603.07135","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2305077716","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1603.07135.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:durham-repository.worktribe.com:1148514","is_oa":true,"landing_page_url":"https://durham-repository.worktribe.com/output/1148514","pdf_url":null,"source":{"id":"https://openalex.org/S4306400188","display_name":"Durham Research Online (Durham University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I190082696","host_organization_name":"Durham University","host_organization_lineage":["https://openalex.org/I190082696"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"acceptedVersion"},{"id":"doi:10.48550/arxiv.1603.07135","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1603.07135","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1603.07135","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1603.07135","pdf_url":"https://arxiv.org/pdf/1603.07135","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W86626612","https://openalex.org/W1486210143","https://openalex.org/W1702260220","https://openalex.org/W1977529491","https://openalex.org/W1979273469","https://openalex.org/W1990676445","https://openalex.org/W2012912284","https://openalex.org/W2056884477","https://openalex.org/W2065367476","https://openalex.org/W2071014748","https://openalex.org/W2096736341","https://openalex.org/W2144044408","https://openalex.org/W2153986241","https://openalex.org/W3138791075"],"related_works":["https://openalex.org/W4226055399","https://openalex.org/W3154661944","https://openalex.org/W2798702389","https://openalex.org/W2751475678","https://openalex.org/W2750730811","https://openalex.org/W2885713624","https://openalex.org/W3038671550","https://openalex.org/W3162518547","https://openalex.org/W3198454468","https://openalex.org/W2888851372","https://openalex.org/W1481311065","https://openalex.org/W3046604617","https://openalex.org/W2032261599","https://openalex.org/W1594752602","https://openalex.org/W2609311736","https://openalex.org/W2922159930","https://openalex.org/W2058906250","https://openalex.org/W2410086729","https://openalex.org/W3003731599","https://openalex.org/W2902919376"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}