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# ðŸ“™ Self-similar groups by Volodymyr Nekrashevych â€” free download

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Self-similar groups (groups generated by automata) initially appeared as examples of groups that are easy to define but have exotic properties like nontrivial torsion, intermediate growth, etc. This book studies the self-similarity phenomenon in group theory and shows its intimate relationship with dynamical systems and more classical self-similar structures, such as fractals, Julia sets, and self-affine tilings. This connection is established through the central topics of the book, which are the notions of the iterated monodromy group and limit space. A wide variety of examples and different applications of self-similar groups to dynamical systems and vice versa are discussed. In particular, it is shown that Julia sets can be reconstructed from the respective iterated monodromy groups and that groups with exotic properties can appear not just as isolated examples, but as naturally defined iterated monodromy groups of rational functions. The book offers important, new mathematics that will open new avenues of research in group theory and dynamical systems. It is intended to be accessible to a wide readership of professional mathematicians

## About book:

## About file:

Security code:

- Series:
**Mathematical Surveys and Monographs 117** - Author:
**Volodymyr Nekrashevych** - Year:
**2005** - Publisher:
**American Mathematical Society** - Language:
**English** - ISBN:
**0-8218-3831-8,9780821838310,18-1985-287-3**

- DPI:
**600** - File size:
**2 572 768** - Format:
**djvu**

Security code:

Scaling (power-type) laws reveal the fundamental property of the phenomena--self similarity. Self-similar (scaling) phenomena repeat themselves in time and/or space. The property of self-similarity simplifies substantially the mathematical modeling of phe...

For the first time the problems of voice services self-similarity are discussed systematically and in detail with specific examples and illustrations.Self-Similar Processes in Telecommunications considers the self-similar (fractal and multifractal) models...

Transport level multicast protocols providing reliability and scalability properties are certainly essential building blocks for several distributed group applications. We consider the effect of reliable multicast transport mechanisms on traffic character...

This volume contains the edited lecture notes of the First JETSET School on Jets from Young Stars: Models and Constraints, held by the Marie Curie Research and Training Network on JET Simulations, Experiments and Theory. At this school the lecturers gave ...

Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary.Key Features:- The Riemann hypothesis is given a natural geometric ref...

The theory of stochastic networks is an important and rapidly developing research area, driven in part by industrial applications in the design and control of modern communications and manufacturing networks. This volume is a collection of papers written ...

The architectural concept of a memory hierarchy has been immensely successful, making possible today's spectacular pace of technology evolution in both the volume of data and the speed of data access. Its success is difficult to understand, however, wh...

Mandelbrot is world famous for his creation of the new mathematics of fractal geometry. Yet few people know that his original field of applied research was in econometrics and financial models, applying ideas of scaling and self-similarity to arrays of da...

The only integrative approach to chaos and random fractal theory Chaos and random fractal theory are two of the most important theories developed for data analysis. Until now, there has been no single book that encompasses all of the basic concepts necess...

Here's WHAT You'll Learnâ€¢ Run programs, control gadgets, and play gamesâ€¢ Send e-mail, browse the Web, and share your filesâ€¢ Organize your photos, music, videos, and moreâ€¢ Burn CDs and DVDs-even produce your own movie!â€¢ Set up your printer and a simple hom...

In an ideal world, an operating system would do its work in the background while you did your work in the foreground. In our world, however, operating systems constantly get in the way, and Windows XP is no exception. There hasn't been such a dramatic cha...

It's not the computer. The hacker's first target is YOU!A dirty little secret that vendors don't want you to know is that good computer security doesn't cost a thing. Any solution you can buy is guaranteed to fail. Malicious hackers use this fact to their...

This portable how-to guide provides you with that quick on-the-job tutorial that will save you time, simplify your keystrokes, and reduce mouse stress, leading to increased efficiency while working in Windows XP and Internet Explorer, Word 2003, Excel 200...

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Shows power users how to take Windows XP to the next level, focusing on functionality, networking, and overall performanceFeatures to-the-point coverage that skips introductory explanations and focuses instead on the real-world tips and tricks power users...

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Focusing on Windows XP functionality, this Bible is value-packed and covers the basics (e.g., navigating a computer) as well as how to use the most popular Internet features; customize the work environment; maintain and tweak the system; use general techn...

Windows is the number one operating system in the world. There's a lot to Windows XP, with office productivity applications, multimedia features, the Internet, and security upgrades. Now and then, you probably wish you could call Tech Support. With thum...