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Surveys and talks on fractals, dynamics, and geometric measure theory

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January 13, 2020January 13, 2020 Tuomas Orponen

Progress on the visibility problem

July 1, 2019October 9, 2019 Katrin Fässler

Quantitative rectifiability in Heisenberg groups

June 27, 2019June 29, 2019 Jeremy Tyson

Marstrand-type projection theorems in Carnot groups

June 27, 2019September 23, 2019 Tuomas Orponen

Cheeger’s differentiation theorem via the multilinear Kakeya inequality

April 19, 2019June 29, 2019 Antti Käenmäki

Self-conformal sets with positive Hausdorff measure

June 25, 2018June 25, 2018 Antti Käenmäki

Subadditive ergodic theory and applications

March 28, 2018March 28, 2018 Laura Venieri

Geometric properties of extremal sets for the dimension comparison in the Heisenberg group

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Authors

  • Jeremy Tyson
    • Marstrand-type projection theorems in Carnot groups
  • Katrin Fässler
    • Quantitative rectifiability in Heisenberg groups
    • Quantitative rectifiability of Semmes surfaces in the Heisenberg group
  • Laura Venieri
    • Geometric properties of extremal sets for the dimension comparison in the Heisenberg group
  • Antti Käenmäki
    • Self-conformal sets with positive Hausdorff measure
    • Subadditive ergodic theory and applications
    • Rigidity of quasisymmetric mappings on self-affine carpets
    • Dynamics of the scenery flow and conical density theorems
  • Tuomas Orponen
    • Progress on the visibility problem
    • Cheeger’s differentiation theorem via the multilinear Kakeya inequality
    • An overview of restricted families of projections in three dimensions

Keywords

  • Add a keyword please! (1)
  • Assouad dimension (2)
  • Cheeger's differention theorem (1)
  • Conformal dimension (1)
  • Conical density (1)
  • Dimension (1)
  • Equilibrium state (1)
  • Gibbs measure (1)
  • Hausdorff dimension (7)
  • Hausdorff measure (2)
  • Heisenberg group (4)
  • Iterated function system (1)
  • Metric measure space (1)
  • Multilinear Kakeya (1)
  • Poincare inequality (1)
  • Products of matrices (1)
  • Projection (2)
  • Quasisymmetric mapping (1)
  • Rectifiability (1)
  • Scenery flow (1)
  • Self-affine set (2)
  • Self-conformal set (1)
  • Tangent distribution (1)
  • Thermodynamic formalism (1)
  • Uniform rectifiability (2)
  • Uniformly scaling measure (1)
  • Weak tangent (1)
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