Continuous strong Markov processes in dimension one : a stochastic calculus approach /

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Bibliographic Details
Author / Creator:Assing, Sigurd, 1965-
Imprint:New York : Springer, 1998.
Description:xii, 135 p.
Language:English
Series:Lecture notes in mathematics, 0075-8434 ; 1688
Lecture notes in mathematics (Springer-Verlag) ; 1688.
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/3154566
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Other authors / contributors:Schmidt, W. (Wolfgang)
ISBN:3540644652 (pbk. : alk. paper)
Notes:Includes bibliographical references and index.

MARC

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245 1 0 |a Continuous strong Markov processes in dimension one :  |b a stochastic calculus approach /  |c Sigurd Assing, Wolfgang Schmidt. 
260 |a New York :  |b Springer,  |c 1998. 
300 |a xii, 135 p. 
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490 1 |a Lecture notes in mathematics,  |x 0075-8434 ;  |v 1688 
504 |a Includes bibliographical references and index. 
505 0 0 |g I.  |t Basic Concepts and Preparatory Results.  |g I.1.  |t Basic Probability Structure.  |g I.2.  |t Strong Markov Processes.  |g I.3.  |t Semimartingales.  |g I.4.  |t Local Times and the Generalized Ito-formula.  |g I.5.  |t Random Time Change.  |g I.6.  |t Equality of Distributions.  |g I.7.  |t Extension of the Basic Probability Structure --  |g II.  |t Classification of the Points of the State Space.  |g II.1.  |t Classification of the Points.  |g II.2.  |t Decomposition of the State Space.  |g II.3.  |t Auxiliary Results --  |g III.  |t Weakly Additive Functionals and Time Change of Strong Markov Processes --  |g IV.  |t Semimartingale Decomposition of Continuous Strong Markov Semimartingales.  |g IV.1.  |t Continuous Strong Markov Processes with Increasing Paths.  |g IV.2.  |t Intrinsic Structure of the Finite Variation Part in the Semimartingale Decomposition --  |g V.  |t Occupation Time Formula.  |g V.1.  |t Speed Measure.  |g V.2.  |t Occupation Time Formula --  |g VI.  |t Construction of Continuous Strong Markov Processes --  |g VII.  |t Continuous Strong Markov Semimartingales as Solutions of Stochastic Differential Equations.  |g VII.1.  |t Equations with Generalized Drift.  |g VII.2.  |t Equations with Ordinary Drift.  |g VII.3.  |t Fundamental Examples of Non-regular Diffusions. 
650 0 |a Markov processes.  |0 http://id.loc.gov/authorities/subjects/sh85081369 
650 0 |a Stochastic integral equations.  |0 http://id.loc.gov/authorities/subjects/sh85128179 
650 7 |a Markov processes.  |2 fast  |0 http://id.worldcat.org/fast/fst01010347 
650 7 |a Stochastic integral equations.  |2 fast  |0 http://id.worldcat.org/fast/fst01133511 
700 1 |a Schmidt, W.  |q (Wolfgang)  |1 http://viaf.org/viaf/109199282 
830 0 |a Lecture notes in mathematics (Springer-Verlag) ;  |v 1688. 
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