Brownian Motion and Stochastic Calculus

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  • Brownian Motion and Stochastic Calculus Book Detail

  • Author : Ioannis Karatzas
  • Release Date : 2014-03-27
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 490
  • ISBN 13 : 1461209498
  • File Size : 41,41 MB

Brownian Motion and Stochastic Calculus by Ioannis Karatzas PDF Summary

Book Description: A graduate-course text, written for readers familiar with measure-theoretic probability and discrete-time processes, wishing to explore stochastic processes in continuous time. The vehicle chosen for this exposition is Brownian motion, which is presented as the canonical example of both a martingale and a Markov process with continuous paths. In this context, the theory of stochastic integration and stochastic calculus is developed, illustrated by results concerning representations of martingales and change of measure on Wiener space, which in turn permit a presentation of recent advances in financial economics. The book contains a detailed discussion of weak and strong solutions of stochastic differential equations and a study of local time for semimartingales, with special emphasis on the theory of Brownian local time. The whole is backed by a large number of problems and exercises.

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Brownian Motion and Stochastic Calculus

Brownian Motion and Stochastic Calculus

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A graduate-course text, written for readers familiar with measure-theoretic probability and discrete-time processes, wishing to explore stochastic processes in

Brownian Motion Calculus

Brownian Motion Calculus

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Total View : 6657 Views
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BROWNIAN MOTION CALCULUS Brownian Motion Calculus presents the basics of Stochastic Calculus with a focus on the valuation of financial derivatives. It is inten