Birs- 22w5080: Smooth Functions on Rough Spaces and Fractals with Connections to Curvature Functional Inequalities

  1. Title:
    Conformal Assouad dimension as the critical exponent for combinatorial modulus

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  2. Title:
    Conformal walk dimension: its universal value and the non-attainment for the Sierpi\'{n}ski carpet

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  3. Title:
    Basics of Lipschitz analysis in metric spaces

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  4. Title:
    Dirichlet forms on unconstrained Sierpinski carpets

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  5. Title:
    Potential theory, p-harmonic and Green functions on metric spaces

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  6. Title:
    Yet another construction of “Sobolev spaces” on metric spaces

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  7. Title:
    The existence of the integrated density of states on fractals

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  8. Title:
    Dyadic cubes on metric spaces

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  9. Title:
    Spectral bounds and exit times of diffusions on metric measure spaces

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  10. Title:
    Density of subalgebras of Lipschitz functions in metric Sobolev spaces and applications to Sobolev-Wasserstein spaces

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  11. Title:
    p-weak differentiable structure on metric spaces

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  12. Title:
    p-weak differentiable structure on metric spaces

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  13. Title:
    Coarea Inequality for Sobolev functions on Metric Spaces

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  14. Title:
    Poincar\'e inequalities on the Vicsek set

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