Books > Reference & Interdisciplinary > Communication studies > Information theory > Cybernetics & systems theory
|
Buy Now
Fractional Fields and Applications (Paperback, 2013 ed.)
Loot Price: R2,252
Discovery Miles 22 520
|
|
Fractional Fields and Applications (Paperback, 2013 ed.)
Series: Mathematiques et Applications, 73
Expected to ship within 10 - 15 working days
|
Donate to Gift Of The Givers
Total price: R2,272
Discovery Miles: 22 720
|
This book focuses mainly on fractional Brownian fields and their
extensions. It has been used to teach graduate students at Grenoble
and Toulouse's Universities. It is as self-contained as possible
and contains numerous exercises, with solutions in an appendix.
After a foreword by Stephane Jaffard, a long first chapter is
devoted to classical results from stochastic fields and fractal
analysis. A central notion throughout this book is self-similarity,
which is dealt with in a second chapter with a particular emphasis
on the celebrated Gaussian self-similar fields, called fractional
Brownian fields after Mandelbrot and Van Ness's seminal paper.
Fundamental properties of fractional Brownian fields are then
stated and proved. The second central notion of this book is the
so-called local asymptotic self-similarity (in short lass), which
is a local version of self-similarity, defined in the third
chapter. A lengthy study is devoted to lass fields with finite
variance. Among these lass fields, we find both Gaussian fields and
non-Gaussian fields, called Levy fields. The Levy fields can be
viewed as bridges between fractional Brownian fields and stable
self-similar fields. A further key issue concerns the
identification of fractional parameters. This is the raison d'etre
of the statistics chapter, where generalized quadratic variations
methods are mainly used for estimating fractional parameters. Last
but not least, the simulation is addressed in the last chapter.
Unlike the previous issues, the simulation of fractional fields is
still an area of ongoing research. The algorithms presented in this
chapter are efficient but do not claim to close the debate.
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
|
You might also like..
|
Email address subscribed successfully.
A activation email has been sent to you.
Please click the link in that email to activate your subscription.