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Geometry --- Chaotic behavior in systems --- Dynamics --- Fractals --- Congresses --- 517.987 --- -Dynamics --- -Fractals --- -Fractal geometry --- Fractal sets --- Geometry, Fractal --- Sets, Fractal --- Sets of fractional dimension --- Dimension theory (Topology) --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Chaos in systems --- Chaos theory --- Chaotic motion in systems --- Differentiable dynamical systems --- Nonlinear theories --- System theory --- Measures. Representations of Boolean algebras. Metric theory of dynamic systems --- -Measures. Representations of Boolean algebras. Metric theory of dynamic systems --- 517.987 Measures. Representations of Boolean algebras. Metric theory of dynamic systems --- -517.987 Measures. Representations of Boolean algebras. Metric theory of dynamic systems --- Fractal geometry --- Chaotic behavior in systems - Congresses --- Dynamics - Congresses --- Fractals - Congresses

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Matter physics --- Differential geometry. Global analysis --- Statistical physics --- Stochastic processes --- Mathematical physics --- Analytical topology --- Fractals --- #TELE:SISTA --- 517.987 --- 517.987 Measures. Representations of Boolean algebras. Metric theory of dynamic systems --- Measures. Representations of Boolean algebras. Metric theory of dynamic systems --- Fractal geometry --- Fractal sets --- Geometry, Fractal --- Sets, Fractal --- Sets of fractional dimension --- Dimension theory (Topology) --- geometry --- fractals --- Fractals.

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Differential geometry. Global analysis --- Fractals --- Hyperspace --- 51 --- Algebraic configurations in hyperspace --- Space of more than three dimensions --- Geometry --- Geometry, Differential --- Geometry, Non-Euclidean --- Mathematics --- Space and time --- Fractal geometry --- Fractal sets --- Geometry, Fractal --- Sets, Fractal --- Sets of fractional dimension --- Dimension theory (Topology) --- Foundations --- Fractals. --- Hyperspace. --- 51 Mathematics

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Fractals --- Fractales --- 517.987 --- Fractal geometry --- Fractal sets --- Geometry, Fractal --- Sets, Fractal --- Sets of fractional dimension --- Dimension theory (Topology) --- Measures. Representations of Boolean algebras. Metric theory of dynamic systems --- Fractals. --- 517.987 Measures. Representations of Boolean algebras. Metric theory of dynamic systems --- Artificial intelligence. Robotics. Simulation. Graphics --- Geometry --- BASIC (Computer program language) --- Infographie

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This is a one-stop introduction to the methods of ergodic theory applied to holomorphic iteration. The authors begin with introductory chapters presenting the necessary tools from ergodic theory thermodynamical formalism, and then focus on recent developments in the field of 1-dimensional holomorphic iterations and underlying fractal sets, from the point of view of geometric measure theory and rigidity. Detailed proofs are included. Developed from university courses taught by the authors, this book is ideal for graduate students. Researchers will also find it a valuable source of reference to a large and rapidly expanding field. It eases the reader into the subject and provides a vital springboard for those beginning their own research. Many helpful exercises are also included to aid understanding of the material presented and the authors provide links to further reading and related areas of research.

Conformal geometry. --- Fractals. --- Ergodic theory. --- Iterative methods (Mathematics) --- Iteration (Mathematics) --- Numerical analysis --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Fractal geometry --- Fractal sets --- Geometry, Fractal --- Sets, Fractal --- Sets of fractional dimension --- Dimension theory (Topology) --- Circular geometry --- Geometry of inverse radii --- Inverse radii, Geometry of --- Inversion geometry --- Möbius geometry --- Geometry