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Research Interests
Structures in fractal sets
Geometric configurations (distance sets, direction sets, arithmetic progressions) in fractals
Geometric measure theory
Geometric properties of sets and measures in Euclidean space: porosity, conical densities, etc.
Self-similar and self-affine sets measures
Dimension, absolute continuity and geometric properties of self-similar and self-affine measures
Ergodic theory
Geometric aspects of dynamical rigidity. Sums and intersections of invariant Cantor sets. Normal numbers.
Harmonic analysis
Fourier decay of fractal measures, problems of Kakeya type, maximal operator of fractal type
Structures in fractal sets
Geometric configurations (distance sets, direction sets, arithmetic progressions) in fractals
Geometric measure theory
Geometric properties of sets and measures in Euclidean space: porosity, conical densities, etc.
Self-similar and self-affine sets measures
Dimension, absolute continuity and geometric properties of self-similar and self-affine measures
Ergodic theory
Geometric aspects of dynamical rigidity. Sums and intersections of invariant Cantor sets. Normal numbers.
Harmonic analysis
Fourier decay of fractal measures, problems of Kakeya type, maximal operator of fractal type
研究兴趣
论文共 68 篇作者统计合作学者相似作者
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Geometric and Functional Analysisno. 1 (2024): 164-201
arXiv (Cornell University) (2023)
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arXiv (Cornell University) (2023)
arXiv (Cornell University) (2023)
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