Stochastic Analysis by Shigeo Kusuoka

Stochastic Analysis by Shigeo Kusuoka

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Summary

Then, it follows a discussion of discrete-time martingales, continuous time square integrable martingales (particularly, continuous martingales of continuous paths), stochastic integrations with respect to continuous local martingales, and stochastic differential equations driven by Brownian motions.

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Stochastic Analysis by Shigeo Kusuoka

Then, it follows a discussion of discrete-time martingales, continuous time square integrable martingales (particularly, continuous martingales of continuous paths), stochastic integrations with respect to continuous local martingales, and stochastic differential equations driven by Brownian motions.
This book is an introductory course on stochastic analysis for advanced students with previous knowledge in probability theory and measure theoryThe presentation of the theory is detailed and rigorous, both in terms of results and proofs. The book can be an excellent textbook for an introductory course on stochastic analysis, with a strong emphasis on the central notion of martingales. (Josep Vives, Mathematical Reviews, April, 2022)
The author is currently Professor Emeritus at The University of Tokyo and visiting Professor at Meiji University. He previously held positions at The University of Tokyo and Research Institute for Mathematical Sciences, Kyoto University. He was an invited speaker at the ICM 1990.
SKU Unavailable
ISBN 13 9789811588662
ISBN 10 981158866X
Title Stochastic Analysis
Author Shigeo Kusuoka
Series Monographs In Mathematical Economics
Condition Unavailable
Binding Type Paperback
Publisher Springer Verlag, Singapore
Year published 2021-10-21
Number of pages 218
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.