LEADER 02563nam 22005175 450 001 996466653003316 005 20200630160404.0 010 $a3-319-01270-3 024 7 $a10.1007/978-3-319-01270-4 035 $a(CKB)3710000000024334 035 $a(SSID)ssj0001049519 035 $a(PQKBManifestationID)11550231 035 $a(PQKBTitleCode)TC0001049519 035 $a(PQKBWorkID)11018609 035 $a(PQKB)11485287 035 $a(DE-He213)978-3-319-01270-4 035 $a(MiAaPQ)EBC3107071 035 $a(PPN)176103872 035 $a(EXLCZ)993710000000024334 100 $a20131001d2013 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aLocal Times and Excursion Theory for Brownian Motion$b[electronic resource] $eA Tale of Wiener and Itô Measures /$fby Ju-Yi Yen, Marc Yor 205 $a1st ed. 2013. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2013. 215 $a1 online resource (IX, 135 p. 9 illus., 8 illus. in color.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2088 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-319-01269-X 327 $aPrerequisites -- Local times of continuous semimartingales -- Excursion theory for Brownian paths -- Some applications of Excursion Theory -- Index. 330 $aThis monograph discusses the existence and regularity properties of local times associated to a continuous semimartingale, as well as excursion theory for Brownian paths. Realizations of Brownian excursion processes may be translated in terms of the realizations of a Wiener process under certain conditions. With this aim in mind, the monograph presents applications to topics which are not usually treated with the same tools, e.g.: arc sine law, laws of functionals of Brownian motion, and the Feynman-Kac formula. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v2088 606 $aProbabilities 606 $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004 615 0$aProbabilities. 615 14$aProbability Theory and Stochastic Processes. 676 $a519.2 700 $aYen$b Ju-Yi$4aut$4http://id.loc.gov/vocabulary/relators/aut$0479677 702 $aYor$b Marc$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a996466653003316 996 $aLocal Times and Excursion Theory for Brownian Motion$92532098 997 $aUNISA