{"id":"https://openalex.org/W2111235586","doi":"https://doi.org/10.1007/3-540-45830-1_10","title":"Universality Class of Probabilistic Cellular Automata","display_name":"Universality Class of Probabilistic Cellular Automata","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W2111235586","doi":"https://doi.org/10.1007/3-540-45830-1_10","mag":"2111235586"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-45830-1_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45830-1_10","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":"book-chapter","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/A5073422774","display_name":"Danuta Makowiec","orcid":"https://orcid.org/0000-0001-6014-9577"},"institutions":[{"id":"https://openalex.org/I40413290","display_name":"University of Gda\u0144sk","ror":"https://ror.org/011dv8m48","country_code":"PL","type":"education","lineage":["https://openalex.org/I40413290"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Danuta Makowiec","raw_affiliation_strings":["Institute of Theoretical Physics and Astrophysics, Gda\u0144sk University, 80-952, Gda\u0144sk, ul.Wita Stwosza 57, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Theoretical Physics and Astrophysics, Gda\u0144sk University, 80-952, Gda\u0144sk, ul.Wita Stwosza 57, Poland","institution_ids":["https://openalex.org/I40413290"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038709480","display_name":"P. Gnaci\u0144ski","orcid":"https://orcid.org/0000-0003-0272-7791"},"institutions":[{"id":"https://openalex.org/I40413290","display_name":"University of Gda\u0144sk","ror":"https://ror.org/011dv8m48","country_code":"PL","type":"education","lineage":["https://openalex.org/I40413290"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Piotr Gnaci\u0144ski","raw_affiliation_strings":["Institute of Theoretical Physics and Astrophysics, Gda\u0144sk University, 80-952, Gda\u0144sk, ul.Wita Stwosza 57, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Theoretical Physics and Astrophysics, Gda\u0144sk University, 80-952, Gda\u0144sk, ul.Wita Stwosza 57, Poland","institution_ids":["https://openalex.org/I40413290"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5073422774"],"corresponding_institution_ids":["https://openalex.org/I40413290"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.28942486,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"104","last_page":"113"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter 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/T12162","display_name":"Cellular Automata and Applications","score":0.9998000264167786,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9983999729156494,"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/ising-model","display_name":"Ising model","score":0.837574303150177},{"id":"https://openalex.org/keywords/universality","display_name":"Universality (dynamical systems)","score":0.7397840023040771},{"id":"https://openalex.org/keywords/stochastic-cellular-automaton","display_name":"Stochastic cellular automaton","score":0.7337116599082947},{"id":"https://openalex.org/keywords/renormalization-group","display_name":"Renormalization group","score":0.7094734311103821},{"id":"https://openalex.org/keywords/cellular-automaton","display_name":"Cellular automaton","score":0.7050443887710571},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.6879111528396606},{"id":"https://openalex.org/keywords/lattice-gas-automaton","display_name":"Lattice gas automaton","score":0.5785365104675293},{"id":"https://openalex.org/keywords/asynchronous-communication","display_name":"Asynchronous communication","score":0.5713037252426147},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5159505009651184},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5117068290710449},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.4765004515647888},{"id":"https://openalex.org/keywords/non-equilibrium-thermodynamics","display_name":"Non-equilibrium thermodynamics","score":0.42475005984306335},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4186667501926422},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3445558547973633},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3224376440048218},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.271623432636261},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22777026891708374},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.19930770993232727},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.18804815411567688},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10120570659637451}],"concepts":[{"id":"https://openalex.org/C51329190","wikidata":"https://www.wikidata.org/wiki/Q1076349","display_name":"Ising model","level":2,"score":0.837574303150177},{"id":"https://openalex.org/C183992945","wikidata":"https://www.wikidata.org/wiki/Q2495574","display_name":"Universality (dynamical systems)","level":2,"score":0.7397840023040771},{"id":"https://openalex.org/C192499940","wikidata":"https://www.wikidata.org/wiki/Q17022326","display_name":"Stochastic cellular automaton","level":3,"score":0.7337116599082947},{"id":"https://openalex.org/C68532491","wikidata":"https://www.wikidata.org/wiki/Q1203669","display_name":"Renormalization group","level":2,"score":0.7094734311103821},{"id":"https://openalex.org/C35527583","wikidata":"https://www.wikidata.org/wiki/Q189156","display_name":"Cellular automaton","level":2,"score":0.7050443887710571},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.6879111528396606},{"id":"https://openalex.org/C156890611","wikidata":"https://www.wikidata.org/wiki/Q3099721","display_name":"Lattice gas automaton","level":4,"score":0.5785365104675293},{"id":"https://openalex.org/C151319957","wikidata":"https://www.wikidata.org/wiki/Q752739","display_name":"Asynchronous communication","level":2,"score":0.5713037252426147},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5159505009651184},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5117068290710449},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.4765004515647888},{"id":"https://openalex.org/C74859849","wikidata":"https://www.wikidata.org/wiki/Q2466686","display_name":"Non-equilibrium thermodynamics","level":2,"score":0.42475005984306335},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4186667501926422},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3445558547973633},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3224376440048218},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.271623432636261},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22777026891708374},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.19930770993232727},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.18804815411567688},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10120570659637451},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-45830-1_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45830-1_10","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W623712945","https://openalex.org/W1532143881","https://openalex.org/W1542370521","https://openalex.org/W1558680194","https://openalex.org/W1964541705","https://openalex.org/W1975123702","https://openalex.org/W1989562908","https://openalex.org/W1997011478","https://openalex.org/W2009349386","https://openalex.org/W2016488536","https://openalex.org/W2024015772","https://openalex.org/W2027364250","https://openalex.org/W2031794121","https://openalex.org/W2035594651","https://openalex.org/W2036424138","https://openalex.org/W2038618968","https://openalex.org/W2039263963","https://openalex.org/W2041568271","https://openalex.org/W2045113612","https://openalex.org/W2056760934","https://openalex.org/W2057971645","https://openalex.org/W2063089780","https://openalex.org/W2080954206","https://openalex.org/W2091983862","https://openalex.org/W3092882822","https://openalex.org/W3191407898","https://openalex.org/W4297927382"],"related_works":["https://openalex.org/W4211227983","https://openalex.org/W4255696416","https://openalex.org/W96032022","https://openalex.org/W2039961821","https://openalex.org/W1973399029","https://openalex.org/W4298373009","https://openalex.org/W2093788548","https://openalex.org/W2405172894","https://openalex.org/W1972167486","https://openalex.org/W1555991356"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-05-10T08:33:47.465468","created_date":"2025-10-10T00:00:00"}