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E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA312. FCT 96160 (Browse shelf) | 1 | Available |
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QA308.SPR FCT 97234 Application of holomorphic functions in two and higher dimensions | QA308.SPR FCT 97298 Advanced calculus of a single variable | QA312. FCT 95290 Measurement uncertainty | QA312. FCT 96160 Ergodic theory, hyperbolic dynamics and dimension theory | QA312.SPR FCT Measure and integration | QA312.SPR FCT Measure theory, probability, and stochastic processes | QA312.SPR FCT Atomicity through fractal measure theory |
Colocação: Online
Over the last two decades, the dimension theory of dynamical systems has progressively developed into an independent and extremely active field of research. The main aim of this volume is to offer a unified, self-contained introduction to the interplay of these three main areas of research: ergodic theory, hyperbolic dynamics, and dimension theory. It starts with the basic notions of the first two topics and ends with a sufficiently high-level introduction to the third. Furthermore, it includes an introduction to the thermodynamic formalism, which is an important tool in dimension theory. The volume is primarily intended for graduate students interested in dynamical systems, as well as researchers in other areas who wish to learn about ergodic theory, thermodynamic formalism, or dimension theory of hyperbolic dynamics at an intermediate level in a sufficiently detailed manner. In particular, it can be used as a basis for graduate courses on any of these three subjects. The text can also be used for self-study: it is self-contained, and with the exception of some well-known basic facts from other areas, all statements include detailed proofs.
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