{"id":"https://openalex.org/W2346538348","doi":"https://doi.org/10.1515/mcma-2016-0103","title":"Splitting and survival probabilities in stochastic random walk methods and applications","display_name":"Splitting and survival probabilities in stochastic random walk methods and applications","publication_year":2016,"publication_date":"2016-03-01","ids":{"openalex":"https://openalex.org/W2346538348","doi":"https://doi.org/10.1515/mcma-2016-0103","mag":"2346538348"},"language":"en","primary_location":{"id":"doi:10.1515/mcma-2016-0103","is_oa":false,"landing_page_url":"https://doi.org/10.1515/mcma-2016-0103","pdf_url":null,"source":{"id":"https://openalex.org/S142132501","display_name":"Monte Carlo Methods and Applications","issn_l":"0929-9629","issn":["0929-9629","1569-3961"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Monte Carlo Methods and Applications","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/A5088085508","display_name":"Karl K. Sabelfeld","orcid":"https://orcid.org/0000-0003-3698-7540"},"institutions":[{"id":"https://openalex.org/I188973947","display_name":"Novosibirsk State University","ror":"https://ror.org/04t2ss102","country_code":"RU","type":"education","lineage":["https://openalex.org/I188973947"]},{"id":"https://openalex.org/I4210110796","display_name":"Institute of Computational Mathematics and Mathematical Geophysics","ror":"https://ror.org/01z686714","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210110796","https://openalex.org/I4210124601"]},{"id":"https://openalex.org/I4210127387","display_name":"Siberian Branch of the Russian Academy of Sciences","ror":"https://ror.org/02frkq021","country_code":"RU","type":"funder","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210127387"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Karl K. Sabelfeld","raw_affiliation_strings":["Institute of Computational Mathematics and Mathematical Geophysics SB RAS, Prospect Akademika Lavrentjeva, 6, and Novosibirsk State University, Pirogova St., 2, 630090, Novosibirsk, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Computational Mathematics and Mathematical Geophysics SB RAS, Prospect Akademika Lavrentjeva, 6, and Novosibirsk State University, Pirogova St., 2, 630090, Novosibirsk, Russia","institution_ids":["https://openalex.org/I188973947","https://openalex.org/I4210110796","https://openalex.org/I4210127387"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5088085508"],"corresponding_institution_ids":["https://openalex.org/I188973947","https://openalex.org/I4210110796","https://openalex.org/I4210127387"],"apc_list":null,"apc_paid":null,"fwci":1.2825,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.80164957,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"22","issue":"1","first_page":"55","last_page":"72"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13187","display_name":"Diffusion and Search Dynamics","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T13187","display_name":"Diffusion and Search Dynamics","score":0.9997000098228455,"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/T12202","display_name":"nanoparticles nucleation surface interactions","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10131","display_name":"Gold and Silver Nanoparticles Synthesis and Applications","score":0.9930999875068665,"subfield":{"id":"https://openalex.org/subfields/2504","display_name":"Electronic, Optical and Magnetic Materials"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.6856997609138489},{"id":"https://openalex.org/keywords/random-walk","display_name":"Random walk","score":0.5697228908538818},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.5692692995071411},{"id":"https://openalex.org/keywords/kinetic-monte-carlo","display_name":"Kinetic Monte Carlo","score":0.5337916612625122},{"id":"https://openalex.org/keywords/cathodoluminescence","display_name":"Cathodoluminescence","score":0.5227565765380859},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5153967142105103},{"id":"https://openalex.org/keywords/quantum-walk","display_name":"Quantum walk","score":0.4709492623806},{"id":"https://openalex.org/keywords/quantum-nonlocality","display_name":"Quantum nonlocality","score":0.4628888964653015},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.45038747787475586},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.41265660524368286},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38471508026123047},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.36680880188941956},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35349470376968384},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.2794557809829712},{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"Quantum entanglement","score":0.22404879331588745},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.19044229388237},{"id":"https://openalex.org/keywords/quantum-algorithm","display_name":"Quantum algorithm","score":0.14710217714309692},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09494557976722717},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.09006300568580627}],"concepts":[{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6856997609138489},{"id":"https://openalex.org/C121194460","wikidata":"https://www.wikidata.org/wiki/Q856741","display_name":"Random walk","level":2,"score":0.5697228908538818},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.5692692995071411},{"id":"https://openalex.org/C45786274","wikidata":"https://www.wikidata.org/wiki/Q3333611","display_name":"Kinetic Monte Carlo","level":3,"score":0.5337916612625122},{"id":"https://openalex.org/C139861200","wikidata":"https://www.wikidata.org/wiki/Q369794","display_name":"Cathodoluminescence","level":3,"score":0.5227565765380859},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5153967142105103},{"id":"https://openalex.org/C140058369","wikidata":"https://www.wikidata.org/wiki/Q7269113","display_name":"Quantum walk","level":4,"score":0.4709492623806},{"id":"https://openalex.org/C138622882","wikidata":"https://www.wikidata.org/wiki/Q7269079","display_name":"Quantum nonlocality","level":4,"score":0.4628888964653015},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.45038747787475586},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.41265660524368286},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38471508026123047},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.36680880188941956},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35349470376968384},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.2794557809829712},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.22404879331588745},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.19044229388237},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.14710217714309692},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09494557976722717},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.09006300568580627},{"id":"https://openalex.org/C148869448","wikidata":"https://www.wikidata.org/wiki/Q184240","display_name":"Luminescence","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1515/mcma-2016-0103","is_oa":false,"landing_page_url":"https://doi.org/10.1515/mcma-2016-0103","pdf_url":null,"source":{"id":"https://openalex.org/S142132501","display_name":"Monte Carlo Methods and Applications","issn_l":"0929-9629","issn":["0929-9629","1569-3961"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Monte Carlo Methods and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1833027547","display_name":null,"funder_award_id":"14-11-00083","funder_id":"https://openalex.org/F4320324099","funder_display_name":"Russian Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320324099","display_name":"Russian Science Foundation","ror":"https://ror.org/03y2gwe85"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W582680511","https://openalex.org/W1484837109","https://openalex.org/W1990579738","https://openalex.org/W1998925629","https://openalex.org/W1999207369","https://openalex.org/W2011662515","https://openalex.org/W2015627867","https://openalex.org/W2022393502","https://openalex.org/W2061320881","https://openalex.org/W2072297829","https://openalex.org/W2074801543","https://openalex.org/W2080755976","https://openalex.org/W2080801313","https://openalex.org/W2161867874","https://openalex.org/W2947171186","https://openalex.org/W2980793086","https://openalex.org/W4231021340","https://openalex.org/W4241119511"],"related_works":["https://openalex.org/W1814245173","https://openalex.org/W46272061","https://openalex.org/W643875032","https://openalex.org/W1999799374","https://openalex.org/W4297574920","https://openalex.org/W2095418556","https://openalex.org/W2085249880","https://openalex.org/W2554925968","https://openalex.org/W1984106051","https://openalex.org/W1997850781"],"abstract_inverted_index":{"Abstract":[0],"We":[1,33],"suggest":[2],"a":[3],"series":[4],"of":[5,43,47,54,66,69,75,104],"extremely":[6],"fast":[7],"stochastic":[8],"algorithms":[9,37],"based":[10],"on":[11,89],"exact":[12],"representations":[13],"we":[14],"derive":[15],"in":[16,56,73],"this":[17],"paper":[18],"for":[19,60],"the":[20,35,39,67,83,86,110],"first":[21],"passage":[22],"time":[23],"and":[24,30,63,71,78,99],"exit":[25],"point":[26],"probability":[27],"densities,":[28],"splitting":[29],"survival":[31],"probabilities.":[32],"apply":[34],"developed":[36],"to":[38,94,100],"following":[40],"three":[41],"classes":[42],"problems:":[44],"(1)":[45],"simulation":[46,65],"epitaxial":[48],"nanowire":[49],"growth,":[50],"(2)":[51],"diffusion":[52,97],"imaging":[53,59],"microstructures,":[55],"particular,":[57],"cathodoluminescence":[58],"threading":[61],"dislocations,":[62],"(3)":[64],"annihilation":[68],"electrons":[70],"holes":[72],"vicinity":[74],"nonradiative":[76],"centers":[77],"quantum":[79],"efficiency":[80],"evaluation.":[81],"In":[82],"last":[84],"example":[85],"Random":[87],"Walk":[88],"Spheres":[90],"method":[91],"is":[92],"used":[93],"solve":[95],"nonlinear":[96,105],"equations,":[98],"more":[101],"general":[102],"systems":[103],"Smoluchowski":[106],"equations":[107],"combined":[108],"with":[109],"kinetic":[111],"Monte":[112],"Carlo":[113],"method.":[114]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2}],"updated_date":"2026-07-30T17:31:21.811387","created_date":"2025-10-10T00:00:00"}
