Free Shipping Over $89 - Limited Time Only - T&C's Apply
Track My Order
Help Centre
Likes
My Wish ListsLogin / Join
Booktopia
Australia's local bookstore
Get Free Shipping on orders over $89
Springer Monographs in Mathematics : Springer Monographs in Mathematics - Ludwig Arnold

Springer Monographs in Mathematics

By: Ludwig Arnold

Hardcover | 13 November 2002 | Edition Number 2

At a Glance

Hardcover

$199.00

or 4 interest-free payments of $49.75 with

 or 

Ships in 5 to 7 business days

Background and Scope of the Book This book continues, extends, and unites various developments in the intersection of probability theory and dynamical systems. I will briefly outline the background of the book, thus placing it in a systematic and historical context and tradition. Roughly speaking, a random dynamical system is a combination of a measure-preserving dynamical system in the sense of ergodic theory, (D, F, lP', (B(t))tE'lf), 'II'= JR+, IR, z+, Z, with a smooth (or topological) dy- namical system, typically generated by a differential or difference equation: i: = f(x) or Xn+l = tp(x., ), to a random differential equation: i: = f(B(t)w, x) or random difference equation Xn+l = tp(B(n)w, Xn)- Both components have been very well investigated separately. However, a symbiosis of them leads to a new research program which has only partly been carried out. As we will see, it also leads to new problems which do not emerge if one only looks at ergodic theory and smooth or topological dynam- ics separately. From a dynamical systems point of view this book just deals with those dynamical systems that have a measure-preserving dynamical system as a factor (or, the other way around, are extensions of such a factor). As there is an invariant measure on the factor, ergodic theory is always involved.
Industry Reviews
"Ludwig Arnold's monograph is going to make a very big impact for many years to come."
DMV Jahresbericht, 103. Band, Heft 2, July 2001

You Can Find This Book In

Non-FictionMathematicsCalculus & Mathematical AnalysisFunctional Analysis & TransformsDifferential Calculus & EquationsProbability & StatisticsApplied MathematicsChaos TheoryIntegral Calculus & EquationsSciencePhysicsReference, Information & Interdisciplinary Subjects
Research & InformationInformation theoryCybernetics & Systems TheoryStochastics

Other Editions and Formats

Paperback

Published: 15th December 2010

View Product

More in Stochastics

INTRO TO STOCH CALC WITH APPL, 3 ED - KLEBANER FIMA C

INTRO TO STOCH CALC WITH APPL, 3 ED

Paperback

RRP $104.99

$47.75

55%
OFF
Networks : Probability and Statistics - A. D. Barbour

Networks

Probability and Statistics

Hardcover

$301.75

Intro to Stoch Calc with Appl - FIMA C KLEBANER

Intro to Stoch Calc with Appl

Hardcover

RRP $96.80

$44.75

54%
OFF
Univariate Families of Distributions - Mohammad Ahsanullah

Univariate Families of Distributions

Hardcover

RRP $110.00

$96.75

12%
OFF
Univariate Families of Distributions - Mohammad Ahsanullah

Univariate Families of Distributions

Hardcover

RRP $326.00

$280.99

14%
OFF
An Introduction to Stochastic Modeling - Conall Kelly

An Introduction to Stochastic Modeling

Paperback

$244.75

Doing Data Science - Cathy O'Neill

Doing Data Science

Paperback

RRP $104.75

$51.75

51%
OFF

This product is categorised by