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001 978-3-319-00327-6
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005 20220801140054.0
007 cr nn 008mamaa
008 130710s2013 sz | s |||| 0|eng d
020 _a9783319003276
_9978-3-319-00327-6
024 7 _a10.1007/978-3-319-00327-6
_2doi
050 4 _aQ295
072 7 _aGPFC
_2bicssc
072 7 _aSCI064000
_2bisacsh
072 7 _aGPFC
_2thema
082 0 4 _a530.1
_223
100 1 _aPaul, Wolfgang.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_931862
245 1 0 _aStochastic Processes
_h[electronic resource] :
_bFrom Physics to Finance /
_cby Wolfgang Paul, Jörg Baschnagel.
250 _a2nd ed. 2013.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2013.
300 _aXIII, 280 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _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.
520 _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.
650 0 _aSystem theory.
_93409
650 0 _aSocial sciences—Mathematics.
_931863
650 0 _aEconometrics.
_920971
650 0 _aMathematical physics.
_911013
650 1 4 _aComplex Systems.
_918136
650 2 4 _aMathematics in Business, Economics and Finance.
_931864
650 2 4 _aQuantitative Economics.
_931722
650 2 4 _aMathematical Methods in Physics.
_931865
650 2 4 _aMathematical Physics.
_911013
700 1 _aBaschnagel, Jörg.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_931866
710 2 _aSpringerLink (Online service)
_931867
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783319033785
776 0 8 _iPrinted edition:
_z9783319003283
776 0 8 _iPrinted edition:
_z9783319003269
856 4 0 _uhttps://doi.org/10.1007/978-3-319-00327-6
912 _aZDB-2-PHA
912 _aZDB-2-SXP
942 _cEBK
999 _c75147
_d75147