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Brownian Motion and Stochastic Calculus, Karatzas


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Автор: Karatzas
Название:  Brownian Motion and Stochastic Calculus
Перевод названия: Каратзас: Броуновское движение и стохастические исчисления
ISBN: 9780387976556
Издательство: Springer
Классификация:


ISBN-10: 0387976558
Обложка/Формат: Paperback
Страницы: 470
Вес: 0.73 кг.
Дата издания: 2005
Серия: Graduate Texts in Mathematics Vol. 113
Язык: English
Издание: 2nd corrected ed. 19
Иллюстрации: Biography
Размер: 159 x 233 x 27
Читательская аудитория: Postgraduate, research & scholarly
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book is designed as a text for graduate courses in stochastic processes. It is written for readers familiar with measure-theoretic probability and discrete-time processes who wish 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. The power of this calculus is illustrated by results concerning representations of martingales and change of measure on Wiener space, and these in turn permit a presentation of recent advances in financial economics (option pricing and consumption/investment optimization). This 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 text is complemented by a large number of problems and exercises.
Дополнительное описание: Формат: 235x155
Илюстрации: 10
Круг читателей: Graduate mathematics student; mathematicians; people in finance
Ключевые слова:
Язык: eng
Издание: 2nd ed. 1991. Corr. 8th p
Оглавление: Martingales, Stopping Times, and Filtrations.- Brownian Motion.- Stochastic Integration.- Brownian Motion and Partial Differential Equations.- Stochastic Differential Equations.- LГ©vy's Theory of Brownian Local Time.




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Brownian Motion and Stochastic Calculus

Автор: Karatzas, Ioannis, Shreve, Steven
Название: Brownian Motion and Stochastic Calculus
ISBN: 1461209498 ISBN-13(EAN): 9781461209492
Издательство: Springer
Цена: 0.00 р.
Наличие на складе: Невозможна поставка.


Stochastic Calculus for Finance II

Автор: Shreve, Steven E.
Название: Stochastic Calculus for Finance II
ISBN: 0387401016 ISBN-13(EAN): 9780387401010
Издательство: Springer
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Цена: 8384.00 р.
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Описание: "A wonderful display of the use of mathematical probability to derive a large set of results from a small set of assumptions.

Stochastic Calculus for Finance I

Автор: Shreve
Название: Stochastic Calculus for Finance I
ISBN: 0387401008 ISBN-13(EAN): 9780387401003
Издательство: Springer
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Цена: 8384.00 р.
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Описание: Developed for the professional Master`s program in Computational Finance at Carnegie Mellon, the leading financial engineering program in the U.S. Has been tested in the classroom and revised over a period of several yearsExercises conclude every chapter;

Stochastic calculus for fractional brownian motion and applications

Автор: Biagini, Francesca Hu, Yaozhong Oksendal, Bernt Zh
Название: Stochastic calculus for fractional brownian motion and applications
ISBN: 1852339969 ISBN-13(EAN): 9781852339968
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Fractional Brownian motion (fBm) has been widely used to model a number of phenomena in diverse fields from biology to finance. This book presents an account of different definitions of stochastic integration for fBm, and to give applications of the resulting theory. It is suitable for students of mathematics, biology, and meteorology.

Brownian Models of Performance and Control

Автор: Harrison
Название: Brownian Models of Performance and Control
ISBN: 1107018390 ISBN-13(EAN): 9781107018396
Издательство: Cambridge Academ
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Цена: 7286.00 р.
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Описание: This book from one of the field`s leaders covers Brownian motion and stochastic calculus at the graduate level, and illustrates the use of that theory in various application domains, emphasizing business and economics. Aimed at non-mathematicians who build and analyze stochastic models, it contains many concrete formulas and worked examples.

Brownian Motion Calculus

Автор: Wiersema
Название: Brownian Motion Calculus
ISBN: 0470021705 ISBN-13(EAN): 9780470021705
Издательство: Wiley
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Цена: 5853.00 р.
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Описание: There are not many calculus books that are very accessible to students without a strong mathematical background and the large majority of financial derivatives students do not have a strong quantitative background. This book provides a short introduction to the subject with examples of its use in mathematical finance e. g pricing of derivatives.

Levy processes and stochastic calculus

Автор: Applebaum, David
Название: Levy processes and stochastic calculus
ISBN: 0521738652 ISBN-13(EAN): 9780521738651
Издательство: Cambridge Academ
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Цена: 13306.00 р.
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Описание: A unique development of these two subjects contained in a single volume. New topics featured in this fully revised edition include regular variation and subexponential distributions, characterisation of Levy processes with finite variation, multiple Wiener-Levy integrals and chaos decomposition, and introductions to Malliavin calculus and stability theory for Levy-driven SDEs.

Brownian Ratchets

Автор: Cubero
Название: Brownian Ratchets
ISBN: 1107063523 ISBN-13(EAN): 9781107063525
Издательство: Cambridge Academ
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Цена: 19800.00 р.
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Описание: This book illustrates the development of Brownian ratchets, from their foundations, to their role in the description of life at the molecular scale and in the design of artificial nano-machinery. For advanced graduates and researchers entering the field, this book provides a pedagogical overview and includes coverage of current experimental developments.

Stochastic calculus for fractional brownian motion and related processes

Автор: Mishura, Yuliya
Название: Stochastic calculus for fractional brownian motion and related processes
ISBN: 3540758720 ISBN-13(EAN): 9783540758723
Издательство: Springer
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Цена: 7959.00 р.
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Exponential Functionals of Brownian Motion and Related Processes

Автор: Yor Marc
Название: Exponential Functionals of Brownian Motion and Related Processes
ISBN: 3540659439 ISBN-13(EAN): 9783540659433
Издательство: Springer
Цена: 9776.00 р.
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Описание: This volume collects papers about the laws of geometric Brownian motions and their time-integrals, written by the author and coauthors between 1988 and 1998. These functionals play an important role in Mathematical Finance, as well as in (probabilistic) studies related to hyperbolic geometry, and also to random media. Throughout the volume, connections with more recent studies involving exponential functionals of LГ©vy processes are indicated. Some papers originally published in French are made available in English for the first time.

Continuous martingales and brownian motion

Автор: Revuz, Daniel Yor, Marc
Название: Continuous martingales and brownian motion
ISBN: 3642084001 ISBN-13(EAN): 9783642084003
Издательство: Springer
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Цена: 13969.00 р.
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Описание: From the reviews: "This is a magnificent book Its purpose is to describe in considerable detail a variety of techniques used by probabilists in the investigation of problems concerning Brownian motion. The great strength of Revuz and Yor is the enormous variety of calculations carried out both in the main text and also (by implication) in the exercises. ... This is THE book for a capable graduate student starting out on research in probability: the effect of working through it is as if the authors are sitting beside one, enthusiastically explaining the theory, presenting further developments as exercises, and throwing out challenging remarks about areas awaiting further research..."
Bull.L.M.S. 24, 4 (1992) Since the first edition in 1991, an impressive variety of advances has been made in relation to the material of this book, and these are reflected in the successive editions.


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