LEADER 04404nam 22007935 450 001 9910741194403321 005 20200704114524.0 010 $a3-319-00327-5 024 7 $a10.1007/978-3-319-00327-6 035 $a(CKB)3710000000002556 035 $a(EBL)1398561 035 $a(OCoLC)902405402 035 $a(SSID)ssj0000963162 035 $a(PQKBManifestationID)11532902 035 $a(PQKBTitleCode)TC0000963162 035 $a(PQKBWorkID)10981049 035 $a(PQKB)10803635 035 $a(DE-He213)978-3-319-00327-6 035 $a(MiAaPQ)EBC1398561 035 $a(PPN)172422213 035 $a(EXLCZ)993710000000002556 100 $a20130710d2013 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aStochastic Processes$b[electronic resource] $eFrom Physics to Finance /$fby Wolfgang Paul, Jörg Baschnagel 205 $a2nd ed. 2013. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2013. 215 $a1 online resource (287 p.) 300 $aDescription based upon print version of record. 311 $a3-319-03378-6 311 $a3-319-00326-7 320 $aIncludes bibliographical references and index. 327 $aA First Glimpse of Stochastic Processes -- A Brief Survey of the Mathematics of Probability Theory -- Diffusion Processes -- Beyond the Central Limit Theorem: Lévy Distributions -- Modeling the Financial Market -- Stable Distributions Revisited -- Hyperspherical Polar Coordinates -- The Weierstrass Random Walk Revisited -- The Exponentially Truncated Lévy Flight -- Put?Call Parity -- Geometric Brownian Motion. 330 $aThis book introduces the theory of stochastic processes with applications taken from physics and finance. Fundamental concepts like the random walk or Brownian motion but also Levy-stable distributions are discussed. Applications are selected to show the interdisciplinary character of the concepts and methods. In the second edition of the book a discussion of extreme events ranging from their mathematical definition to their importance for financial crashes was included. The exposition of basic notions of probability theory and the Brownian motion problem as well as the relation between conservative diffusion processes and quantum mechanics is expanded. The second edition also enlarges the treatment of financial markets. Beyond a presentation of geometric Brownian motion and the Black-Scholes approach to option pricing as well as the econophysics analysis of the stylized facts of financial markets, an introduction to agent based modeling approaches is given. 606 $aSociophysics 606 $aEconophysics 606 $aEconomics, Mathematical  606 $aEconomic theory 606 $aPhysics 606 $aMathematical physics 606 $aData-driven Science, Modeling and Theory Building$3https://scigraph.springernature.com/ontologies/product-market-codes/P33030 606 $aQuantitative Finance$3https://scigraph.springernature.com/ontologies/product-market-codes/M13062 606 $aEconomic Theory/Quantitative Economics/Mathematical Methods$3https://scigraph.springernature.com/ontologies/product-market-codes/W29000 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 606 $aMathematical Applications in the Physical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13120 615 0$aSociophysics. 615 0$aEconophysics. 615 0$aEconomics, Mathematical . 615 0$aEconomic theory. 615 0$aPhysics. 615 0$aMathematical physics. 615 14$aData-driven Science, Modeling and Theory Building. 615 24$aQuantitative Finance. 615 24$aEconomic Theory/Quantitative Economics/Mathematical Methods. 615 24$aMathematical Methods in Physics. 615 24$aMathematical Applications in the Physical Sciences. 676 $a330 676 $a330.0151 676 $a330.1 676 $a519 700 $aPaul$b Wolfgang$4aut$4http://id.loc.gov/vocabulary/relators/aut$0464842 702 $aBaschnagel$b Jörg$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910741194403321 996 $aStochastic Processes$93552989 997 $aUNINA