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Cantor space
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Related lectures (9)
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Computing leading eigenvalues of the transfer operator
Explores computing the leading eigenvalue of a transfer operator beyond periodic points, focusing on mathematical settings, spectral radius estimation, and the Zaremba Conjecture.
Fractal Uncertainty Principle and Spectral Gaps
Delves into the Fractal Uncertainty Principle for the Fourier transform and spectral gaps, including specialized cases for Cantor sets.
Fractal Uncertainty Principle and Spectral Gaps
Explores transfer operators, Patterson-Sullivan measure, FUP, spectral gaps, and resonances in Schottky groups.
Lebesgue Integration: Cantor Set
Explores the construction of the Lebesgue function on the Cantor set and its unique properties.
Analysis IV: Measurable Sets and Functions
Introduces measurable sets, functions, and the Cantor set properties, including ternary development of numbers.
Hausdorff Dimension and Brownian Motion
Explores the Hausdorff dimension of Brownian motion zeros, demonstrating a dimension of 1/2 with certainty.
Selected Topics in Mathematics
Covers selected topics in mathematics, including Taylor approximations and algebraic structures of Z and K[X].
Change of Variable Formula: Devil's Staircase
Explores a change of variable formula and the intriguing Devil's Staircase.
Nonlinear Dynamics: Chaos and Complex Systems
Explores countable and uncountable sets, Cantor set, Mandelbrot set, and Box dimension in nonlinear dynamics and complex systems.
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