{"id":"https://openalex.org/W2059763723","doi":"https://doi.org/10.1007/s11760-014-0651-6","title":"Tartaglia\u2013Pascal triangle and Brownian motion in non-euclidean geometries: application to heat and Black\u2013Scholes equations","display_name":"Tartaglia\u2013Pascal triangle and Brownian motion in non-euclidean geometries: application to heat and Black\u2013Scholes equations","publication_year":2014,"publication_date":"2014-06-12","ids":{"openalex":"https://openalex.org/W2059763723","doi":"https://doi.org/10.1007/s11760-014-0651-6","mag":"2059763723"},"language":"en","primary_location":{"id":"doi:10.1007/s11760-014-0651-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11760-014-0651-6","pdf_url":null,"source":{"id":"https://openalex.org/S156904493","display_name":"Signal Image and Video Processing","issn_l":"1863-1703","issn":["1863-1703","1863-1711"],"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":"Signal, Image and Video Processing","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/A5080851861","display_name":"Marco Frasca","orcid":"https://orcid.org/0000-0002-0163-0659"},"institutions":[{"id":"https://openalex.org/I14197495","display_name":"MBDA (Germany)","ror":"https://ror.org/05nz79105","country_code":"DE","type":"company","lineage":["https://openalex.org/I14197495","https://openalex.org/I4210103610"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Marco Frasca","raw_affiliation_strings":["MBDA Italia S.p.A., Divisione Seeker, Via Carciano, 4-50, 60-70, 00131\u00a0, Roma, Italy","MBDA Italia S.p.A., Divisione Seeker, Roma, Italy"],"affiliations":[{"raw_affiliation_string":"MBDA Italia S.p.A., Divisione Seeker, Via Carciano, 4-50, 60-70, 00131\u00a0, Roma, Italy","institution_ids":[]},{"raw_affiliation_string":"MBDA Italia S.p.A., Divisione Seeker, Roma, Italy","institution_ids":["https://openalex.org/I14197495"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045179998","display_name":"Alfonso Farina","orcid":"https://orcid.org/0000-0003-3247-2427"},"institutions":[{"id":"https://openalex.org/I76806421","display_name":"SELEX Sistemi Integrati","ror":"https://ror.org/02sj0zy88","country_code":"IT","type":"company","lineage":["https://openalex.org/I76806421"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Alfonso Farina","raw_affiliation_strings":["Selex ES S.p.A., Via Tiburtina km. 12,400, 00131\u00a0, Roma, Italy","Selex ES S.p.A., Roma, Italy"],"affiliations":[{"raw_affiliation_string":"Selex ES S.p.A., Via Tiburtina km. 12,400, 00131\u00a0, Roma, Italy","institution_ids":["https://openalex.org/I76806421"]},{"raw_affiliation_string":"Selex ES S.p.A., Roma, Italy","institution_ids":["https://openalex.org/I76806421"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5080851861"],"corresponding_institution_ids":["https://openalex.org/I14197495"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.4639,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.61506169,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"8","issue":"6","first_page":"1149","last_page":"1157"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9868000149726868,"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":0.9868000149726868,"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/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9693999886512756,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9595000147819519,"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/mathematics","display_name":"Mathematics","score":0.741207480430603},{"id":"https://openalex.org/keywords/brownian-motion","display_name":"Brownian motion","score":0.6538563966751099},{"id":"https://openalex.org/keywords/geometric-brownian-motion","display_name":"Geometric Brownian motion","score":0.5882002115249634},{"id":"https://openalex.org/keywords/reflected-brownian-motion","display_name":"Reflected Brownian motion","score":0.5548648238182068},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5519140958786011},{"id":"https://openalex.org/keywords/brownian-excursion","display_name":"Brownian excursion","score":0.5423763990402222},{"id":"https://openalex.org/keywords/scaling-limit","display_name":"Scaling limit","score":0.5132365226745605},{"id":"https://openalex.org/keywords/diffusion-process","display_name":"Diffusion process","score":0.4628908038139343},{"id":"https://openalex.org/keywords/martingale-representation-theorem","display_name":"Martingale representation theorem","score":0.4314618408679962},{"id":"https://openalex.org/keywords/fractional-brownian-motion","display_name":"Fractional Brownian motion","score":0.4192464351654053},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2107314169406891},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.13743102550506592}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.741207480430603},{"id":"https://openalex.org/C112401455","wikidata":"https://www.wikidata.org/wiki/Q178036","display_name":"Brownian motion","level":2,"score":0.6538563966751099},{"id":"https://openalex.org/C101615488","wikidata":"https://www.wikidata.org/wiki/Q1503307","display_name":"Geometric Brownian motion","level":4,"score":0.5882002115249634},{"id":"https://openalex.org/C116779161","wikidata":"https://www.wikidata.org/wiki/Q7307228","display_name":"Reflected Brownian motion","level":5,"score":0.5548648238182068},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5519140958786011},{"id":"https://openalex.org/C53920899","wikidata":"https://www.wikidata.org/wiki/Q4976524","display_name":"Brownian excursion","level":5,"score":0.5423763990402222},{"id":"https://openalex.org/C24084028","wikidata":"https://www.wikidata.org/wiki/Q7429781","display_name":"Scaling limit","level":3,"score":0.5132365226745605},{"id":"https://openalex.org/C68710425","wikidata":"https://www.wikidata.org/wiki/Q5275442","display_name":"Diffusion process","level":3,"score":0.4628908038139343},{"id":"https://openalex.org/C162344956","wikidata":"https://www.wikidata.org/wiki/Q6777133","display_name":"Martingale representation theorem","level":5,"score":0.4314618408679962},{"id":"https://openalex.org/C108819105","wikidata":"https://www.wikidata.org/wiki/Q1143293","display_name":"Fractional Brownian motion","level":3,"score":0.4192464351654053},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2107314169406891},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.13743102550506592},{"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/C56739046","wikidata":"https://www.wikidata.org/wiki/Q192060","display_name":"Knowledge management","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11760-014-0651-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11760-014-0651-6","pdf_url":null,"source":{"id":"https://openalex.org/S156904493","display_name":"Signal Image and Video Processing","issn_l":"1863-1703","issn":["1863-1703","1863-1711"],"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":"Signal, Image and Video Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W643824288","https://openalex.org/W1503295912","https://openalex.org/W1639042633","https://openalex.org/W1750253748","https://openalex.org/W1976060172","https://openalex.org/W2005973022","https://openalex.org/W2068216115","https://openalex.org/W2072924727","https://openalex.org/W2075308649","https://openalex.org/W2077791698","https://openalex.org/W2086803847","https://openalex.org/W2092205945","https://openalex.org/W2095817904","https://openalex.org/W2098102315","https://openalex.org/W2120062331","https://openalex.org/W2145137020","https://openalex.org/W2145645384","https://openalex.org/W2146612430","https://openalex.org/W2170316986","https://openalex.org/W2184469729","https://openalex.org/W2264709743","https://openalex.org/W2502599685","https://openalex.org/W2546505240","https://openalex.org/W3101752481","https://openalex.org/W3102109908","https://openalex.org/W4231057775","https://openalex.org/W4240925291","https://openalex.org/W4243513962"],"related_works":["https://openalex.org/W2516567326","https://openalex.org/W4235302815","https://openalex.org/W4252969574","https://openalex.org/W2988531679","https://openalex.org/W1982823440","https://openalex.org/W2106392892","https://openalex.org/W2040555204","https://openalex.org/W2507079750","https://openalex.org/W2090226811","https://openalex.org/W4309208340"],"abstract_inverted_index":null,"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}