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A Marstrand-type restricted projection theorem in â„ť3
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2025
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Antti Käenmäki
Tuomas Orponen
Laura Venieri
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PDF
Chat
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On the projections of Ahlfors regular sets in the plane
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2024
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Tuomas Orponen
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PDF
Chat
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On the dimension of $s$-Nikod\'ym sets
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2024
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Damian DÄ…browski
Max Goering
Tuomas Orponen
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PDF
Chat
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Structure of sets with nearly maximal Favard length
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2024
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Alan L. Chang
Damian DÄ…browski
Tuomas Orponen
Michele Villa
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How much can heavy lines cover?
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2024
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Damian DÄ…browski
Tuomas Orponen
Hong Wang
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PDF
Chat
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On the Hausdorff dimension of radial slices
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2024
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Tuomas Orponen
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PDF
Chat
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Large cliques in extremal incidence configurations
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2024
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Tuomas Orponen
Guangzeng Yi
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Kaufman and Falconer Estimates for Radial Projections and a Continuum Version of Beck’s Theorem
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2024
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Tuomas Orponen
Pablo Shmerkin
Hong Wang
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PDF
Chat
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On Fourier transforms of fractal measures on the parabola
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2024
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Tuomas Orponen
Carmelo Puliatti
Aleksi Pyörälä
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Incidence Problems in Harmonic Analysis, Geometric Measure Theory, and Ergodic Theory
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2023
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Tuomas Orponen
Pablo Shmerkin
Hong Wang
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PDF
Chat
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On the discretised ABC sum-product problem
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2023
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Tuomas Orponen
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PDF
Chat
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On the Hausdorff dimension of Furstenberg sets and orthogonal projections in the plane
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2023
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Tuomas Orponen
Pablo Shmerkin
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Vertical projections in the Heisenberg group via cinematic functions and point-plate incidences
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2023
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Katrin Fässler
Tuomas Orponen
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Absolute continuity in families of parametrised non-homogeneous self-similar measures
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2023
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Antti Käenmäki
Tuomas Orponen
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PDF
Chat
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A note on Kakeya sets of horizontal and SL(2)$SL(2)$ lines
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2023
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Katrin Fässler
Tuomas Orponen
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PDF
Chat
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Riesz transform and vertical oscillation in the Heisenberg group
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2023
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Katrin Fässler
Tuomas Orponen
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PDF
Chat
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Additive properties of fractal sets on the parabola
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2023
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Tuomas Orponen
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Projections, Furstenberg sets, and the $ABC$ sum-product problem
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2023
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Tuomas Orponen
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On the Hausdorff dimension of circular Furstenberg sets
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2023
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Katrin Fässler
Jiayin Liu
Tuomas Orponen
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On the Fourier decay of multiplicative convolutions
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2023
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Tuomas Orponen
Nicolas de Saxcé
Pablo Shmerkin
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How much can heavy lines cover?
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2023
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Damian DÄ…browski
Tuomas Orponen
Hong Wang
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+
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On the Hausdorff dimension of radial slices
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2023
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Tuomas Orponen
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+
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Integrability of orthogonal projections, and applications to Furstenberg sets
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2022
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Damian DÄ…browski
Tuomas Orponen
Michele Villa
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PDF
Chat
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On a Continuous Sárközy-Type Problem
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2022
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Borys Kuca
Tuomas Orponen
Tuomas Sahlsten
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On the dimension of visible parts
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2022
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Tuomas Orponen
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PDF
Chat
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Sub-elliptic boundary value problems in flag domains
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2022
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Tuomas Orponen
Michele Villa
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PDF
Chat
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On arithmetic sums of Ahlfors-regular sets
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2022
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Tuomas Orponen
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Hausdorff dimension bounds for the ABC sum-product problem
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2022
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Tuomas Orponen
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+
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Structure of sets with nearly maximal Favard length
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2022
|
Alan L. Chang
Damian DÄ…browski
Tuomas Orponen
Michele Villa
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+
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Additive properties of fractal sets on the parabola
|
2022
|
Tuomas Orponen
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+
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On exceptional sets of radial projections
|
2022
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Tuomas Orponen
Pablo Shmerkin
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+
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Kaufman and Falconer estimates for radial projections and a continuum version of Beck's Theorem
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2022
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Tuomas Orponen
Pablo Shmerkin
Sheng Wang
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+
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Vertical projections in the Heisenberg group via cinematic functions and point-plate incidences
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2022
|
Katrin Fässler
Tuomas Orponen
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+
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A note on Kakeya sets of horizontal and $SL(2)$ lines
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2022
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Katrin Fässler
Tuomas Orponen
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PDF
Chat
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Metric Rectifiability of ℍ-regular Surfaces with Hölder Continuous Horizontal Normal
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2021
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Daniela Di Donato
Katrin Fässler
Tuomas Orponen
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Singular integrals on regular curves in the Heisenberg group
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2021
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Katrin Fässler
Tuomas Orponen
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PDF
Chat
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Plenty of big projections imply big pieces of Lipschitz graphs
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2021
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Tuomas Orponen
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+
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On arithmetic sums of Ahlfors-regular sets
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2021
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Tuomas Orponen
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PDF
Chat
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Combinatorial proofs of two theorems of Lutz and Stull
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2021
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Tuomas Orponen
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On a continuous Sárközy type problem
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2021
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Borys Kuca
Tuomas Orponen
Tuomas Sahlsten
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+
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On the discretised $ABC$ sum-product problem
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2021
|
Tuomas Orponen
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+
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Integrability of orthogonal projections, and applications to Furstenberg sets
|
2021
|
Damian DÄ…browski
Tuomas Orponen
Michele Villa
|
|
+
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On the Hausdorff dimension of Furstenberg sets and orthogonal projections in the plane
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2021
|
Tuomas Orponen
Pablo Shmerkin
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|
+
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On arithmetic sums of Ahlfors-regular sets
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2021
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Tuomas Orponen
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+
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Sub-elliptic boundary value problems in flag domains
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2020
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Tuomas Orponen
Michele Villa
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+
PDF
Chat
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Dorronsoro's theorem in Heisenberg groups
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2020
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Katrin Fässler
Tuomas Orponen
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PDF
Chat
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On the Assouad dimension of projections
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2020
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Tuomas Orponen
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Semmes surfaces and intrinsic Lipschitz graphs in the Heisenberg group
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2020
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Katrin Fässler
Tuomas Orponen
SĂ©verine Rigot
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Planar incidences and geometric inequalities in the Heisenberg group
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2020
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Katrin Fässler
Tuomas Orponen
Andrea Pinamonti
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PDF
Chat
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Quantitative absolute continuity of planar measures with two independent Alberti representations
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2020
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David Bate
Tuomas Orponen
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Vertical versus horizontal Sobolev spaces
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2020
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Katrin Fässler
Tuomas Orponen
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+
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Rickman rugs and intrinsic bilipschitz graphs
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2020
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Tuomas Orponen
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+
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Sub-elliptic boundary value problems in flag domains
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2020
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Tuomas Orponen
Michele Villa
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+
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Planar incidences and geometric inequalities in the Heisenberg group
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2020
|
Katrin Fässler
Tuomas Orponen
Andrea Pinamonti
|
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+
PDF
Chat
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An improved bound on the packing dimension of Furstenberg sets in the plane
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2019
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Tuomas Orponen
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+
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Singular integrals on regular curves in the Heisenberg group
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2019
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Katrin Fässler
Tuomas Orponen
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+
PDF
Chat
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An Integralgeometric Approach to Dorronsoro Estimates
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2019
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Tuomas Orponen
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Boundedness of singular integrals on C1, intrinsic graphs in the Heisenberg group
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2019
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Vasileios Chousionis
Katrin Fässler
Tuomas Orponen
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+
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Intrinsic graphs and big pieces of parabolic Lipschitz images
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2019
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Tuomas Orponen
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+
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Vertical versus horizontal Sobolev spaces
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2019
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Katrin Fässler
Tuomas Orponen
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+
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Cheeger's differentiation theorem via the multilinear Kakeya inequality
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2019
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David Bate
Ilmari Kangasniemi
Tuomas Orponen
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PDF
Chat
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Metric currents and the Poincaré inequality
|
2019
|
Katrin Fässler
Tuomas Orponen
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+
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Dorronsoro's theorem in Heisenberg groups
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2019
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Katrin Fässler
Tuomas Orponen
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+
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Quantitative Alberti representations in spaces of bounded geometry
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2019
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Tuomas Orponen
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+
PDF
Chat
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Intrinsic Lipschitz Graphs and Vertical β-Numbers in the Heisenberg Group
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2019
|
Vasileios Chousionis
Katrin Fässler
Tuomas Orponen
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+
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Metric rectifiability of $\mathbb{H}$-regular surfaces with Hölder continuous horizontal normal
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2019
|
Daniela Di Donato
Katrin Fässler
Tuomas Orponen
|
|
+
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Singular integrals on regular curves in the Heisenberg group
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2019
|
Katrin Fässler
Tuomas Orponen
|
|
+
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Vertical versus horizontal Sobolev spaces
|
2019
|
Katrin Fässler
Tuomas Orponen
|
|
+
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Cheeger's differentiation theorem via the multilinear Kakeya inequality
|
2019
|
David Bate
Ilmari Kangasniemi
Tuomas Orponen
|
|
+
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Dorronsoro's theorem in Heisenberg groups
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2019
|
Katrin Fässler
Tuomas Orponen
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+
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On the dimension of visible parts
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2019
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Tuomas Orponen
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+
PDF
Chat
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On the dimension and smoothness of radial projections
|
2018
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Tuomas Orponen
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+
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Qualitative and quantitative affine approximation of parabolic Lipschitz functions
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2018
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Tuomas Orponen
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+
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An integralgeometric approach to Dorronsoro estimates
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2018
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Tuomas Orponen
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+
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Riesz transform and vertical oscillation in the Heisenberg group
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2018
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Katrin Fässler
Tuomas Orponen
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+
PDF
Chat
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Absolute continuity and α-numbers on the real line
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2018
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Tuomas Orponen
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+
PDF
Chat
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Improved Bounds for Restricted Families of Projections to Planes in â„ť3
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2018
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Tuomas Orponen
Laura Venieri
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+
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The local symmetry condition in the Heisenberg group
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2018
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Tuomas Orponen
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+
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Metric currents and the Poincar\'e inequality
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2018
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Katrin Fässler
Tuomas Orponen
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+
PDF
Chat
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On the conformal dimension of product measures
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2018
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David Bate
Tuomas Orponen
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+
PDF
Chat
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Characterising the big pieces of Lipschitz graphs property using projections
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2018
|
Henri Martikainen
Tuomas Orponen
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+
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Semmes surfaces and intrinsic Lipschitz graphs in the Heisenberg group
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2018
|
Katrin Fässler
Tuomas Orponen
SĂ©verine Rigot
|
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+
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A note on expansion in prime fields
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2018
|
Tuomas Orponen
Laura Venieri
|
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+
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Absolute continuity in families of parametrised non-homogeneous self-similar measures
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2018
|
Antti Käenmäki
Tuomas Orponen
|
|
+
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An integralgeometric approach to Dorronsoro estimates
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2018
|
Tuomas Orponen
|
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+
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Riesz transform and vertical oscillation in the Heisenberg group
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2018
|
Katrin Fässler
Tuomas Orponen
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+
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The local symmetry condition in the Heisenberg group
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2018
|
Tuomas Orponen
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+
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Metric currents and the Poincaré inequality
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2018
|
Katrin Fässler
Tuomas Orponen
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+
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Semmes surfaces and intrinsic Lipschitz graphs in the Heisenberg group
|
2018
|
Katrin Fässler
Tuomas Orponen
SĂ©verine Rigot
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+
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On the visibility of planar sets
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2017
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Tuomas Orponen
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PDF
Chat
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A sharp exceptional set estimate for visibility
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2017
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Tuomas Orponen
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+
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Boundedness of the density normalised Jones' square function does not imply 1-rectifiability
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2017
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Henri Martikainen
Tuomas Orponen
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+
PDF
Chat
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The Assouad dimensions of projections of planar sets
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2017
|
Jonathan M. Fraser
Tuomas Orponen
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+
PDF
Chat
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Curve packing and modulus estimates
|
2017
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Katrin Fässler
Tuomas Orponen
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+
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Every locally finite Borel measure on $\mathbb{R}$ has conformal dimension zero
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2017
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Tuomas Orponen
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+
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A Marstrand-type restricted projection theorem in $\mathbb{R}^{3}$
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2017
|
Antti Käenmäki
Tuomas Orponen
Laura Venieri
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+
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Boundedness of singular integrals on $C^{1,α}$ intrinsic graphs in the Heisenberg group
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2017
|
Vasileios Chousionis
Katrin Fässler
Tuomas Orponen
|
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+
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On the absolute continuity of radial projections
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2017
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Tuomas Orponen
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+
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On the distance sets of Ahlfors–David regular sets
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2016
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Tuomas Orponen
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+
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An improved bound on the packing dimension of Furstenberg sets in the plane
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2016
|
Tuomas Orponen
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+
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Projections of planar sets in Ahlfors-David regular sets of directions
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2016
|
Tuomas Orponen
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+
PDF
Chat
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Quasisymmetric Maps on Kakeya Sets
|
2016
|
Tuomas Orponen
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+
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Intrinsic Lipschitz graphs and vertical $\beta$-numbers in the Heisenberg group
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2016
|
Vasileios Chousionis
Katrin Fässler
Tuomas Orponen
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+
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Projections of planar sets in well-separated directions
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2016
|
Tuomas Orponen
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+
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Curve packing and modulus estimates
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2016
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Katrin Fässler
Tuomas Orponen
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+
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Improving Kaufman's exceptional set estimate for packing dimension
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2016
|
Tuomas Orponen
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+
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Intrinsic Lipschitz graphs and vertical $β$-numbers in the Heisenberg group
|
2016
|
Vasileios Chousionis
Katrin Fässler
Tuomas Orponen
|
|
+
|
Curve packing and modulus estimates
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2016
|
Katrin Fässler
Tuomas Orponen
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+
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An improved bound on the packing dimension of Furstenberg sets in the plane
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2016
|
Tuomas Orponen
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+
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On the conformal dimension of Kakeya sets
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2015
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Tuomas Orponen
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+
PDF
Chat
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Some obstacles in characterising the boundedness of bi-parameter singular integrals
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2015
|
Henri Martikainen
Tuomas Orponen
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+
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Hausdorff dimension, intersections of projections and exceptional plane sections
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2015
|
Pertti Mattila
Tuomas Orponen
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PDF
Chat
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On the packing measure of slices of self-similar sets
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2015
|
Tuomas Orponen
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+
PDF
Chat
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On Ahlfors–David regular weighted bounds for the extension operator associated to the circle
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2015
|
Tuomas Orponen
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Hausdorff dimension estimates for restricted families of projections in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:math>
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2015
|
Tuomas Orponen
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+
PDF
Chat
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On the Tube Occupancy of Sets in â„ť<sup>d</sup>
|
2014
|
Tuomas Orponen
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+
PDF
Chat
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On restricted families of projections in â„ť<sup>3</sup>
|
2014
|
Katrin Fässler
Tuomas Orponen
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|
+
PDF
Chat
|
On the packing dimension and category of exceptional sets of orthogonal projections
|
2014
|
Tuomas Orponen
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+
PDF
Chat
|
Square functions with general measures II
|
2014
|
Henri Martikainen
Mihalis Mourgoglou
Tuomas Orponen
|
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+
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A discretised projection theorem in the plane
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2014
|
Tuomas Orponen
|
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+
PDF
Chat
|
Non-existence of multi-line Besicovitch sets
|
2013
|
Tuomas Orponen
|
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+
PDF
Chat
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On the packing measure of self-similar sets
|
2013
|
Tuomas Orponen
|
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+
PDF
Chat
|
On the Haar shift representations of CalderĂłn-Zygmund operators
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2013
|
Tuomas Orponen
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+
PDF
Chat
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On Fourier Analytic Properties of Graphs
|
2013
|
Jonathan M. Fraser
Tuomas Orponen
Tuomas Sahlsten
|
|
+
PDF
Chat
|
Constancy results for special families of projections
|
2013
|
Katrin Fässler
Tuomas Orponen
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|
+
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Hausdorff dimension estimates for restricted families of projections in $\mathbb{R}^3$
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2013
|
Tuomas Orponen
|
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+
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Square functions with general measures II
|
2013
|
Henri Martikainen
Mihalis Mourgoglou
Tuomas Orponen
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+
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On Fourier analytic properties of graphs
|
2012
|
Jonathan M. Fraser
Tuomas Orponen
Tuomas Sahlsten
|
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+
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Weak and strong type estimates for maximal truncations of CalderĂłn-Zygmund operators on A p weighted spaces
|
2012
|
Tuomas Hytönen
Michael T. Lacey
Henri Martikainen
Tuomas Orponen
MarĂa Carmen Reguera
Eric T. Sawyer
Ignacio Uriarte-Tuero
|
|
+
PDF
Chat
|
Slicing Sets and Measures, and the Dimension of Exceptional Parameters
|
2012
|
Tuomas Orponen
|
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+
PDF
Chat
|
On the distance sets of self-similar sets
|
2012
|
Tuomas Orponen
|
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+
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On Fourier analytic properties of graphs
|
2012
|
Jonathan M. Fraser
Tuomas Orponen
Tuomas Sahlsten
|
|
+
PDF
Chat
|
Tangent measures of non-doubling measures
|
2011
|
Tuomas Orponen
Tuomas Sahlsten
|
|
+
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On the Distance Sets of Self-Similar Sets
|
2011
|
Tuomas Orponen
|
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+
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Radial projections of rectifiable sets
|
2011
|
Tuomas Orponen
Tuomas Sahlsten
|
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+
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Weak And Strong Type Estimates for Maximal Truncations of Calder\'on-Zygmund Operators on $ A_p$ Weighted Spaces
|
2011
|
Tuomas Hytönen
Michael T. Lacey
Henri Martikainen
Tuomas Orponen
MarĂa Carmen Reguera
Eric T. Sawyer
Ignacio Uriarte-Tuero
|
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+
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Radial projections of rectifiable sets
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2011
|
Tuomas Orponen
Tuomas Sahlsten
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+
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A Characterization of the boundedness of the median maximal function on weighted L^p spaces
|
2011
|
Henri Martikainen
Tuomas Orponen
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+
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Radial projections of rectifiable sets
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2011
|
Tuomas Orponen
Tuomas Sahlsten
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|
+
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Radial projections of rectifiable sets
|
2011
|
Tuomas Orponen
Tuomas Sahlsten
|
|
+
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Weak And Strong Type Estimates for Maximal Truncations of CalderĂłn-Zygmund Operators on $ A_p$ Weighted Spaces
|
2011
|
Tuomas Hytönen
Michael T. Lacey
Henri Martikainen
Tuomas Orponen
MarĂa Carmen Reguera
Eric T. Sawyer
Ignacio Uriarte-Tuero
|
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+
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On the Distance Sets of Self-Similar Sets
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2011
|
Tuomas Orponen
|