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May 22, 2023 Tuomas Orponen

On the dimension of circular Furstenberg sets

March 26, 2023April 30, 2023 Katrin Fässler

On a duality principle for horizontal lines in the Heisenberg group

October 3, 2022 Tuomas Orponen

Restricted projections via the high-low method and decoupling

August 3, 2022 Tuomas Orponen

On the dimension of radial projections

May 3, 2022May 4, 2022 Tuomas Orponen

On the projections of Ahlfors regular sets

December 17, 2021December 19, 2021 Antti Käenmäki

Finer geometry of planar self-affine sets

November 11, 2021November 11, 2021 Tuomas Orponen

Overview of the point-to-set-principle of Lutz and Lutz

November 4, 2021November 4, 2021 Tuomas Orponen

On the ABC sum-product problem

August 31, 2021August 31, 2021 Tuomas Orponen

On the dimension of Furstenberg sets

April 7, 2021April 7, 2021 Tuomas Orponen

Plenty of big projections imply BPLG

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Authors

  • Jeremy Tyson
    • Marstrand-type projection theorems in Carnot groups
  • Katrin Fässler
    • On a duality principle for horizontal lines in the Heisenberg group
    • The Loomis-Whitney inequality in the Heisenberg group
    • Notions of rectifiability in Heisenberg groups
    • Singular integrals on regular curves in the Heisenberg group
    • 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
    • Finer geometry of planar self-affine sets
    • Super-exponential condensation without exact overlaps
    • 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
    • On the dimension of circular Furstenberg sets
    • Restricted projections via the high-low method and decoupling
    • On the dimension of radial projections
    • On the projections of Ahlfors regular sets
    • Overview of the point-to-set-principle of Lutz and Lutz
    • On the ABC sum-product problem
    • On the dimension of Furstenberg sets
    • Plenty of big projections imply BPLG
    • Sub-elliptic boundary value problems in flag domains
    • Progress on the visibility problem

Keywords

  • Add a keyword please! (8)
  • Assouad dimension (3)
  • Cheeger's differention theorem (1)
  • Conformal dimension (1)
  • Conical density (1)
  • Dimension (1)
  • Equilibrium state (2)
  • Gibbs measure (1)
  • Harmonic analysis (2)
  • Hausdorff dimension (11)
  • Hausdorff measure (6)
  • Heisenberg group (9)
  • Iterated function system (3)
  • Lower dimension (1)
  • Metric measure space (1)
  • Multilinear Kakeya (2)
  • Poincare inequality (1)
  • Products of matrices (2)
  • Projection (4)
  • Quasisymmetric mapping (1)
  • Rectifiability (3)
  • Scenery flow (1)
  • Self-affine set (3)
  • Self-conformal set (1)
  • Self-similar set (1)
  • Singular integrals (1)
  • Sub-elliptic PDEs (1)
  • Tangent distribution (1)
  • Thermodynamic formalism (1)
  • Uniform rectifiability (4)
  • Uniformly scaling measure (1)
  • Visibility problem (1)
  • Weak tangent (2)
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