Brownian Models of Performance and Control, Harrison
Автор: Karatzas Название: Brownian Motion and Stochastic Calculus ISBN: 0387976558 ISBN-13(EAN): 9780387976556 Издательство: Springer Рейтинг: Цена: 6981.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Revuz, Daniel Yor, Marc Название: Continuous martingales and brownian motion ISBN: 3642084001 ISBN-13(EAN): 9783642084003 Издательство: Springer Рейтинг: Цена: 13969.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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 Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Wiersema Название: Brownian Motion Calculus ISBN: 0470021705 ISBN-13(EAN): 9780470021705 Издательство: Wiley Рейтинг: Цена: 5853.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Francesca Biagini; Yaozhong Hu; Bernt ?ksendal; Tu Название: Stochastic Calculus for Fractional Brownian Motion and Applications ISBN: 1849969949 ISBN-13(EAN): 9781849969949 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The purpose of this book is to present a comprehensive account of the different definitions of stochastic integration for fBm, and to give applications of the resulting theory.
Автор: Cubero Название: Brownian Ratchets ISBN: 1107063523 ISBN-13(EAN): 9781107063525 Издательство: Cambridge Academ Рейтинг: Цена: 19800.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Weiss Название: Reflected Brownian Motions in the KPZ Universality Class ISBN: 3319494988 ISBN-13(EAN): 9783319494982 Издательство: Springer Рейтинг: Цена: 7685.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents a detailed study of a system of interacting Brownian motions in one dimension. The interaction is point-like such that the n-th Brownian motion is reflected from the Brownian motion with label n-1. This model belongs to the Kardar-Parisi-Zhang (KPZ) universality class. In fact, because of the singular interaction, many universal properties can be established with rigor. They depend on the choice of initial conditions. Discussion addresses packed and periodic initial conditions (Chapter 5), stationary initial conditions (Chapter 6), and mixtures thereof (Chapter 7). The suitably scaled spatial process will be proven to converge to an Airy process in the long time limit. A chapter on determinantal random fields and another one on Airy processes are added to have the notes self-contained. These notes serve as an introduction to the KPZ universality class, illustrating the main concepts by means of a single model only. The notes will be of interest to readers from interacting diffusion processes and non-equilibrium statistical mechanics.
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