00983nam0-2200265 --450 991105752890332120260202124301.0978-88-908839-4-120260202d2025----kmuy0itay5050 baitaIT 001yyLezioni di diritto privato comparatointroduzione alla comparazione giuridica e ai sistemi giuridiciistituti del diritto privatoAndrea FusaroGenovaBozzistampa 2025330 p.24 cmSul frontespizio: Appunti delle lezioni tenute nei corsi di Sistemi giuridici comparati e Diritto privato comparato del Dipartimento di Giurisprudenza dell'Università di Genova34623itaFusaro,Andrea231100ITUNINAREICATUNIMARCBK9911057528903321VIII O 5602025/2354FGBCFGBCLezioni di diritto privato comparato4286388UNINA03855nam 22006135 450 991088606610332120260225113825.09783031631931303163193510.1007/978-3-031-63193-1(MiAaPQ)EBC31642118(Au-PeEL)EBL31642118(CKB)34775345900041(MiAaPQ)EBC31643249(Au-PeEL)EBL31643249(DE-He213)978-3-031-63193-1(OCoLC)1455132833(EXLCZ)993477534590004120240903d2024 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierProbability Theory II Stochastic Calculus /by Andrea Pascucci1st ed. 2024.Cham :Springer Nature Switzerland :Imprint: Springer,2024.1 online resource (428 pages)La Matematica per il 3+2,2038-5757 ;1669783031631924 3031631927 1 Stochastic processes -- 2 Markov processes -- 3 Continuous processes -- 4 Brownian motion -- 5 Poisson process -- 6 Stopping times -- 7 Strong Markov property -- 8 Continuous martingales -- 9 Theory of variation -- 10 Stochastic integral -- 11 Itô's formula -- 12 Multidimensional stochastic calculus -- 13 Change of measure and martingale representation -- 14 Stochastic differential equations -- 15 Feynman-Kac formulas -- 16 Linear stochastic equations -- 17 Strong solutions -- 18 Weak solutions -- 19 Complements.-20 A primer on parabolic PDEs.This book offers a modern approach to the theory of continuous-time stochastic processes and stochastic calculus. The content is treated rigorously, comprehensively, and independently. In the first part, the theory of Markov processes and martingales is introduced, with a focus on Brownian motion and the Poisson process. Subsequently, the theory of stochastic integration for continuous semimartingales was developed. A substantial portion is dedicated to stochastic differential equations, the main results of solvability and uniqueness in weak and strong sense, linear stochastic equations, and their relation to deterministic partial differential equations. Each chapter is accompanied by numerous examples. This text stems from over twenty years of teaching experience in stochastic processes and calculus within master's degrees in mathematics, quantitative finance, and postgraduate courses in mathematics for applications and mathematical finance at the University of Bologna. The book provides material for at least two semester-long courses in scientific studies (Mathematics, Physics, Engineering, Statistics, Economics, etc.) and aims to provide a solid background for those interested in the development of stochastic calculus theory and its applications. This text completes the journey started with the first volume of Probability Theory I - Random Variables and Distributions, through a selection of advanced classic topics in stochastic analysis.La Matematica per il 3+2,2038-5757 ;166ProbabilitiesSocial sciencesMathematicsProbability TheoryMathematics in Business, Economics and FinanceProbabilitatsthubLlibres electrònicsthubProbabilities.Social sciencesMathematics.Probability Theory.Mathematics in Business, Economics and Finance.Probabilitats519.2Pascucci Andrea475297MiAaPQMiAaPQMiAaPQBOOK9910886066103321Probability Theory II4247174UNINA