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020 _a9783540708476
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024 7 _a10.1007/978-3-540-70847-6
_2doi
040 _aISI Library, Kolkata
050 4 _aQA273.A1-274.9
050 4 _aQA274-274.9
072 7 _aPBT
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072 7 _aMAT029000
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072 7 _aPBWL
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082 0 4 _a519.2
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245 1 0 _aStochastic Analysis and Applications
_h[electronic resource] :
_bThe Abel Symposium 2005 /
_cedited by Fred Espen Benth, Giulia Di Nunno, Tom Lindstrøm, Bernt Øksendal, Tusheng Zhang.
246 3 _aProceedings of the Second Abel Symposium, Oslo, July 29 - August 4, 2005, held in honor of Kiyosi Itô
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2007.
300 _aXI, 678 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aAbel Symposia,
_x2193-2808 ;
_v2
505 0 _aMemoirs of My Research on Stochastic Analysis -- Itô Calculus and Quantum White Noise Calculus -- Homogenization of Diffusions on the Lattice Zd with Periodic Drift Coefficients, Applying a Logarithmic Sobolev Inequality or a Weak Poincaré Inequality -- Theory and Applications of Infinite Dimensional Oscillatory Integrals -- Ambit Processes; with Applications to Turbulence and Tumour Growth -- A Stochastic Control Approach to a Robust Utility Maximization Problem -- Extending Markov Processes in Weak Duality by Poisson Point Processes of Excursions -- Hedging with Options in Models with Jumps -- Power Variation Analysis of Some Integral Long-Memory Processes -- Kolmogorov Equations for Stochastic PDE's with Multiplicative Noise -- Stochastic Integrals and Adjoint Derivatives -- An Application of Probability to Nonlinear Analysis -- The Space of Stochastic Differential Equations -- Extremes of supOU Processes -- Gaussian Bridges -- Some of the Recent Topics on Stochastic Analysis -- Differential Equations Driven by Hölder Continuous Functions of Order Greater than 1/2 -- On Asymptotics of Banach Space-valued Itô Functionals of Brownian Rough Paths -- Continuous-Time Markowitz's Problems in an Incomplete Market, with No-Shorting Portfolios -- Quantum and Classical Conserved Quantities: Martingales, Conservation Laws and Constants of Motion -- Different Lattice Approximations for Hôegh-Krohn's Quantum Field Model -- Itô Atlas, its Application to Mathematical Finance and to Exponentiation of Infinite Dimensional Lie Algebras -- The Invariant Distribution of a Diffusion: Some New Aspects -- Formation of Singularities in Madelung Fluid: A Nonconventional Application of Itô Calculus to Foundations of Quantum Mechanics -- G-Expectation, G-Brownian Motion and Related Stochastic Calculus of Itô Type -- Perpetual Integral Functionals of Diffusions and their Numerical Computations -- Chaos Expansions and Malliavin Calculus for Lévy Processes -- Study of Simple but Challenging Diffusion Equation -- Itô Calculus and Malliavin Calculus -- The Malliavin Calculus for Processes with Conditionally Independent Increments.
520 _aKiyosi Ito, the founder of stochastic calculus, is one of the few central figures of the twentieth century mathematics who reshaped the mathematical world. Today stochastic calculus is a central research field with applications in several other mathematical disciplines, for example physics, engineering, biology, economics and finance. The Abel Symposium 2005 was organized as a tribute to the work of Kiyosi Ito on the occasion of his 90th birthday. Distinguished researchers from all over the world were invited to present the newest developments within the exciting and fast growing field of stochastic analysis. The present volume combines both papers from the invited speakers and contributions by the presenting lecturers. A special feature is the Memoirs that Kiyoshi Ito wrote for this occasion. These are valuable pages for both young and established researchers in the field.
650 0 _aDistribution (Probability theory.
650 0 _aMathematics.
650 0 _aGlobal analysis (Mathematics).
650 0 _aMathematical statistics.
650 0 _aFinance.
650 1 4 _aProbability Theory and Stochastic Processes.
_0http://scigraph.springernature.com/things/product-market-codes/M27004
650 2 4 _aApplications of Mathematics.
_0http://scigraph.springernature.com/things/product-market-codes/M13003
650 2 4 _aReal Functions.
_0http://scigraph.springernature.com/things/product-market-codes/M12171
650 2 4 _aAnalysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12007
650 2 4 _aStatistical Theory and Methods.
_0http://scigraph.springernature.com/things/product-market-codes/S11001
650 2 4 _aQuantitative Finance.
_0http://scigraph.springernature.com/things/product-market-codes/M13062
700 1 _aBenth, Fred Espen.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aNunno, Giulia Di.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aLindstrøm, Tom.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aØksendal, Bernt.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aZhang, Tusheng.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642089824
776 0 8 _iPrinted edition:
_z9783540835363
776 0 8 _iPrinted edition:
_z9783540708469
830 0 _aAbel Symposia,
_x2193-2808 ;
_v2
856 4 0 _uhttps://doi.org/10.1007/978-3-540-70847-6
912 _aZDB-2-SMA
942 _cEB
950 _aMathematics and Statistics (Springer-11649)
999 _c425471
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