Ergodic Dynamics

Name: Ergodic Dynamics
Brand: Springer Nature Switzerland AG
SKU: 9783030592448
Price: 18943 HUF
Availability: InStock

From Basic Theory to Applications

Szerző: Jane Hawkins

Nyelv:

Kötés: Puha kötésű

Kiadó: Springer Nature Switzerland AG

Elérhetőség: Beszállítói készleten

Küldés 8-11 napon belül

18 943 Ft

This textbook provides a broad introduction to the fields of dynamical systems and ergodic theory. M...

Információk a könyvről

Szerző

Jane Hawkins

Nyelv

Angol

Kötés

Könyv - Puha kötésű

Kiadva

2022

oldal

336

EAN

9783030592448

Enbook ID

38503377

Kiadó

Springer Nature Switzerland AG

Súly

661

Méretek

155 x 235 x 18

Teljes leírás

This textbook provides a broad introduction to the fields of dynamical systems and ergodic theory. Motivated by examples throughout, the author offers readers an approachable entry-point to the dynamics of ergodic systems. Modern and classical applications complement the theory on topics ranging from financial fraud to virus dynamics, offering numerous avenues for further inquiry.Starting with several simple examples of dynamical systems, the book begins by establishing the basics of measurable dynamical systems, attractors, and the ergodic theorems. From here, chapters are modular and can be selected according to interest. Highlights include the Perron-Frobenius theorem, which is presented with proof and applications that include Google PageRank. An in-depth exploration of invariant measures includes ratio sets and type III measurable dynamical systems using the von Neumann factor classification. Topological and measure theoretic entropy are illustrated and compared in detail, with an algorithmic application of entropy used to study the papillomavirus genome. A chapter on complex dynamics introduces Julia sets and proves their ergodicity for certain maps. Cellular automata are explored as a series of case studies in one and two dimensions, including Conway's Game of Life and latent infections of HIV. Other chapters discuss mixing properties, shift spaces, and toral automorphisms.

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Ergodic Dynamics

From Basic Theory to Applications

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Teljes leírás

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Azok a vásárlók, akik ezt a könyvet megvásárolták, a következőket is megvásárolták