My blog features surveys and informal posts offering background information and insights into my recent publications. I assume the reader has at least a graduate-level understanding of mathematics. In addition, I may also take the opportunity to explore a range of other interesting topics and discuss various math-related subjects as they arise.
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Dissonance of self-conformal measures on the real line
Motivation via Furstenberg conjectures and Marstrand's theorems
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Thermodynamic formalism of countably generated self-affine sets
Equilibrium states and Hausdorff dimension of self-affine sets
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Finer geometry of planar self-affine sets
Marstrand's slicing theorem, Ahlfors regularity, and projections
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Super-exponential condensation without exact overlaps
Exponential separation and dimension drop conjecture.
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Self-conformal sets with positive Hausdorff measure
Weak separation condition and Ahlfors regularity
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Subadditive ergodic theory and applications
Introduction to subadditive ergodic theory and its applications
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Rigidity of quasisymmetric maps on self-affine carpets
Quasi-Lipschitz maps and conformal Assouad dimension
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Scenery flow, conical densities, and rectifiability
Tangent distributions and geometric measure theory