Techniques in Fractal Geometry

Mathematical Background.

Review of Fractal Geometry.

Some Techniques for Studying Dimension.

Cookie-cutters and Bounded Distortion.

The Thermodynamic Formalism.

The Ergodic Theorem and Fractals.

The Renewal Theorem and Fractals.

Martingales and Fractals.

Tangent Measures.

Dimensions of Measures.

Some Multifractal Analysis.

Fractals and Differential Equations.

References.

Index.

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• Topologia
• Geometria
• Análise funcional e transforma

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