{"id":"https://openalex.org/W7124213859","doi":"https://doi.org/10.1016/j.spa.2026.104887","title":"On the distribution of the telegraph meander and its properties","display_name":"On the distribution of the telegraph meander and its properties","publication_year":2026,"publication_date":"2026-01-14","ids":{"openalex":"https://openalex.org/W7124213859","doi":"https://doi.org/10.1016/j.spa.2026.104887"},"language":"en","primary_location":{"id":"doi:10.1016/j.spa.2026.104887","doi":"https://doi.org/10.1016/j.spa.2026.104887","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.spa.2026.104887","pdf_url":null,"source":{"id":"https://openalex.org/S182850260","display_name":"Stochastic Processes and their Applications","issn_l":"0304-4149","issn":["0304-4149","1879-209X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","dongbi-c","jufo-2","norway-2","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Stochastic Processes and their Applications","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.spa.2026.104887","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5118216664","display_name":"Andrea Pedicone","orcid":"https://orcid.org/0009-0009-1535-7225","observed_orcids":["https://orcid.org/0009-0009-1535-7225"]},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"A. Pedicone","raw_affiliation_strings":["Department of Statistical Sciences, Sapienza University of Rome,P.le Aldo Moro, 5,Rome, 00185,Italy"],"raw_orcid":"https://orcid.org/0009-0009-1535-7225","affiliations":[{"raw_affiliation_string":"Department of Statistical Sciences, Sapienza University of Rome,P.le Aldo Moro, 5,Rome, 00185,Italy","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039998868","display_name":"Enzo Orsingher","orcid":"https://orcid.org/0000-0002-6421-533X","observed_orcids":["https://orcid.org/0000-0002-6421-533X"]},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"E. Orsingher","raw_affiliation_strings":["Department of Statistical Sciences, Sapienza University of Rome,P.le Aldo Moro, 5,Rome, 00185,Italy"],"raw_orcid":"https://orcid.org/0000-0002-6421-533X","affiliations":[{"raw_affiliation_string":"Department of Statistical Sciences, Sapienza University of Rome,P.le Aldo Moro, 5,Rome, 00185,Italy","institution_ids":["https://openalex.org/I861853513"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5118216664"],"corresponding_institution_ids":["https://openalex.org/I861853513"],"apc_list":{"value":3520,"currency":"USD","value_usd":3520},"apc_paid":{"value":3520,"currency":"USD","value_usd":3520},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.20760981,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"195","issue":null,"first_page":"104887","last_page":"104887"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.6625999808311462,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.6625999808311462,"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/T10067","display_name":"Stochastic processes and financial applications","score":0.17350000143051147,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"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/T13500","display_name":"Probability and Statistical Research","score":0.08399999886751175,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/telegraph-process","display_name":"telegraph process","score":1.0},{"id":"https://openalex.org/keywords/reflection-principle","display_name":"reflection principle","score":0.9549999833106995},{"id":"https://openalex.org/keywords/markovianity","display_name":"Markovianity","score":0.722000002861023},{"id":"https://openalex.org/keywords/hyperbolic-equations","display_name":"hyperbolic equations","score":0.9369999766349792},{"id":"https://openalex.org/keywords/characteristic-function","display_name":"characteristic function","score":0.9819999933242798},{"id":"https://openalex.org/keywords/moments","display_name":"moments","score":0.9610000252723694},{"id":"https://openalex.org/keywords/brownian-meander","display_name":"Brownian meander","score":0.9950000047683716},{"id":"https://openalex.org/keywords/weak-convergence","display_name":"weak convergence","score":0.7409999966621399}],"concepts":[{"id":"https://openalex.org/C73052206","wikidata":"https://www.wikidata.org/wiki/Q724511","display_name":"Meander (mathematics)","level":2,"score":0.9645000100135803},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6891000270843506},{"id":"https://openalex.org/C124566792","wikidata":"https://www.wikidata.org/wiki/Q1156880","display_name":"Telegrapher's equations","level":3,"score":0.5257999897003174},{"id":"https://openalex.org/C112401455","wikidata":"https://www.wikidata.org/wiki/Q178036","display_name":"Brownian motion","level":2,"score":0.49149999022483826},{"id":"https://openalex.org/C65682993","wikidata":"https://www.wikidata.org/wiki/Q1056451","display_name":"Reflection (computer programming)","level":2,"score":0.4787999987602234},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4447000026702881},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.43700000643730164},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4203000068664551},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.41370001435279846},{"id":"https://openalex.org/C55350006","wikidata":"https://www.wikidata.org/wiki/Q237193","display_name":"Exponential distribution","level":2,"score":0.388700008392334},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.38440001010894775},{"id":"https://openalex.org/C186603090","wikidata":"https://www.wikidata.org/wiki/Q55505926","display_name":"Distribution function","level":2,"score":0.37880000472068787},{"id":"https://openalex.org/C110507122","wikidata":"https://www.wikidata.org/wiki/Q1356856","display_name":"Renewal theory","level":2,"score":0.32170000672340393},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.32100000977516174},{"id":"https://openalex.org/C62147058","wikidata":"https://www.wikidata.org/wiki/Q721587","display_name":"Telegraphy","level":3,"score":0.302700012922287},{"id":"https://openalex.org/C2780550144","wikidata":"https://www.wikidata.org/wiki/Q1156976","display_name":"Excursion","level":2,"score":0.3019999861717224},{"id":"https://openalex.org/C103784038","wikidata":"https://www.wikidata.org/wiki/Q386228","display_name":"Cumulative distribution function","level":3,"score":0.29899999499320984},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.2930000126361847},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.25429999828338623},{"id":"https://openalex.org/C65778772","wikidata":"https://www.wikidata.org/wiki/Q12345341","display_name":"Asymptotic distribution","level":3,"score":0.2513999938964844}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1016/j.spa.2026.104887","doi":"https://doi.org/10.1016/j.spa.2026.104887","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.spa.2026.104887","pdf_url":null,"source":{"id":"https://openalex.org/S182850260","display_name":"Stochastic Processes and their Applications","issn_l":"0304-4149","issn":["0304-4149","1879-209X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","dongbi-c","jufo-2","norway-2","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Stochastic Processes and their Applications","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2504.11387","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2504.11387","pdf_url":"https://arxiv.org/pdf/2504.11387","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:iris.uniroma1.it:11573/1758729","doi":null,"is_oa":true,"landing_page_url":"https://hdl.handle.net/11573/1758729","pdf_url":null,"source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.2504.11387","doi":"https://doi.org/10.48550/arxiv.2504.11387","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2504.11387","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1016/j.spa.2026.104887","doi":"https://doi.org/10.1016/j.spa.2026.104887","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.spa.2026.104887","pdf_url":null,"source":{"id":"https://openalex.org/S182850260","display_name":"Stochastic Processes and their Applications","issn_l":"0304-4149","issn":["0304-4149","1879-209X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","dongbi-c","jufo-2","norway-2","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Stochastic Processes and their Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"score":0.7058154344558716,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, justice, and strong institutions"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1582093212","https://openalex.org/W1963875897","https://openalex.org/W1995417036","https://openalex.org/W2014971447","https://openalex.org/W2030706836","https://openalex.org/W2060302284","https://openalex.org/W2073914070","https://openalex.org/W2077358099","https://openalex.org/W2084459200","https://openalex.org/W2094495898","https://openalex.org/W2132473809","https://openalex.org/W2150455575","https://openalex.org/W2883245660","https://openalex.org/W2918696160","https://openalex.org/W2995348858","https://openalex.org/W3094790668","https://openalex.org/W3128270608","https://openalex.org/W3147130417","https://openalex.org/W4213329537","https://openalex.org/W4311753459","https://openalex.org/W4404927217"],"related_works":[],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,74,85],"study":[4],"the":[5,14,20,28,35,39,43,46,50,56,59,63,76,91,95],"telegraph":[6,15,29,40,47,60,96],"meander,":[7],"a":[8,67,70],"random":[9],"function":[10,78],"obtained":[11],"by":[12,33],"conditioning":[13],"process":[16,41,48],"to":[17,69],"stay":[18],"above":[19],"zero":[21],"level.":[22],"The":[23],"finite":[24],"dimensional":[25],"distribution":[26],"of":[27,45,58,81,94],"meander":[30,61,89],"is":[31,66,90],"derived":[32],"applying":[34],"reflection":[36],"principle":[37],"for":[38],"and":[42,73,79],"Markovianity":[44],"with":[49],"velocity":[51],"process.":[52],"We":[53],"show":[54],"that":[55,87],"law":[57],"at":[62],"end":[64],"time":[65],"solution":[68],"hyperbolic":[71],"equation,":[72],"find":[75],"characteristic":[77],"moments":[80],"any":[82],"order.":[83],"Finally,":[84],"prove":[86],"Brownian":[88],"weak":[92],"limit":[93],"meander.":[97]},"counts_by_year":[],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2026-01-15T00:00:00"}
