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Beyond the triangle = Brownian motio...
~
Umarov, Sabir.
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Beyond the triangle = Brownian motion, Ito calculus, and Fokker-Planck equation : fractional generalizations /
Record Type:
Electronic resources : Monograph/item
Title/Author:
Beyond the triangle/ Sabir Umarov, Marjorie Hahn, Kei Kobayashi.
Reminder of title:
Brownian motion, Ito calculus, and Fokker-Planck equation : fractional generalizations /
Author:
Umarov, Sabir.
other author:
Hahn, Marjorie G.
Published:
Singapore :World Scientific, : c2018.,
Description:
1 online resource (192 p.) :ill.
Subject:
Brownian motion processes. -
Online resource:
https://www.worldscientific.com/worldscibooks/10.1142/10734#t=toc
ISBN:
9789813230927
Beyond the triangle = Brownian motion, Ito calculus, and Fokker-Planck equation : fractional generalizations /
Umarov, Sabir.
Beyond the triangle
Brownian motion, Ito calculus, and Fokker-Planck equation : fractional generalizations /[electronic resource] :Sabir Umarov, Marjorie Hahn, Kei Kobayashi. - 1st ed. - Singapore :World Scientific,c2018. - 1 online resource (192 p.) :ill.
Includes bibliographical references (p. 161-173) and index.
"The book is devoted to the fundamental relationship between three objects: a stochastic process, stochastic differential equations driven by that process and their associated Fokker–Planck–Kolmogorov equations. This book discusses wide fractional generalizations of this fundamental triple relationship, where the driving process represents a time-changed stochastic process; the Fokker–Planck–Kolmogorov equation involves time-fractional order derivatives and spatial pseudo-differential operators; and the associated stochastic differential equation describes the stochastic behavior of the solution process. It contains recent results obtained in this direction. This book is important since the latest developments in the field, including the role of driving processes and their scaling limits, the forms of corresponding stochastic differential equations, and associated FPK equations, are systematically presented. Examples and important applications to various scientific, engineering, and economics problems make the book attractive for all interested researchers, educators, and graduate students."--
Electronic reproduction.
Singapore :
World Scientific,
[2018]
Mode of access: World Wide Web.
ISBN: 9789813230927Subjects--Topical Terms:
646794
Brownian motion processes.
LC Class. No.: QA274.75 / .U43 2018
Dewey Class. No.: 515/.353
Beyond the triangle = Brownian motion, Ito calculus, and Fokker-Planck equation : fractional generalizations /
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Brownian motion, Ito calculus, and Fokker-Planck equation : fractional generalizations /
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ill.
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Includes bibliographical references (p. 161-173) and index.
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"The book is devoted to the fundamental relationship between three objects: a stochastic process, stochastic differential equations driven by that process and their associated Fokker–Planck–Kolmogorov equations. This book discusses wide fractional generalizations of this fundamental triple relationship, where the driving process represents a time-changed stochastic process; the Fokker–Planck–Kolmogorov equation involves time-fractional order derivatives and spatial pseudo-differential operators; and the associated stochastic differential equation describes the stochastic behavior of the solution process. It contains recent results obtained in this direction. This book is important since the latest developments in the field, including the role of driving processes and their scaling limits, the forms of corresponding stochastic differential equations, and associated FPK equations, are systematically presented. Examples and important applications to various scientific, engineering, and economics problems make the book attractive for all interested researchers, educators, and graduate students."--
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Brownian motion processes.
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https://www.worldscientific.com/worldscibooks/10.1142/10734#t=toc
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EB QA274.75 .U43 2018
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