Stochastic Exponential Growth and Lattice Gases : Statistical Mechanics of Stochastic Compounding Processes

Language: English

Published by Springer, 2022

3031111427 / 9783031111426

Series: Book 231 of 472 - SpringerBriefs in Applied Sciences and Technology

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Druck auf Anfrage Neuware - Printed after ordering - The book discusses a class of discrete time stochastic growth processes for which the growth rate is proportional to the exponential of a Gaussian Markov process.These growth processes appear naturally in problems of mathematical finance as discrete time approximations of stochastic volatility models and stochastic interest rates models such as the Black-Derman-Toy and Black-Karasinski models. These processes can be mapped to interacting one-dimensional lattice gases with long-range interactions. The book gives a detailed discussion of these statistical mechanics models, including new results not available in the literature, and their implication for the stochastic growth models.The statistical mechanics analogy is used to understand observed non-analytic dependence of the Lyapunov exponents of the stochastic growth processes considered, which is related to phase transitions in the lattice gas system. The theoretical results are applied to simulations of financial models and are illustrated with Mathematica code. The book includes a general introduction to exponential stochastic growth with examples from biology, population dynamics and finance. The presentation does not assume knowledge of mathematical finance. The new results on lattice gases can be read independently of the rest of the book.The book should be useful to practitioners and academics studying the simulation and application of stochastic growth models.

Seller Inventory # 9783031111426

Title
Stochastic Exponential Growth and Lattice Gases : Statistical Mechanics of Stochastic Compounding Processes
Author
Dan Pirjol
Publisher
Springer
Publication year
2022
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3031111427
ISBN 13
9783031111426
Item weight
257 grams
Dimensions
235x155x8 mm
Series
Book 231 of 472: SpringerBriefs in Applied Sciences and Technology

AHA-BUCH GmbH

Einbeck, Germany

5-star seller

AbeBooks seller since August 14, 2006

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