Cover Image

Marstrand's density theorem for arbitrary norms in the plane

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Del Nin, Giacomo, Merlo, Andrea
Format:	Preprint
Published:	2025
Subjects:	Classical Analysis and ODEs Metric Geometry 28A75 (primary), 28A78, 49Q15, 46B20 (secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Favard length and quantitative rectifiability
by: Dąbrowski, Damian
Published: (2024)

An invitation to dimension interpolation
by: Fraser, Jonathan M.
Published: (2026)

Quantitative Besicovitch projection theorem for irregular sets of directions
by: Dąbrowski, Damian
Published: (2022)

Applications of dimension interpolation to orthogonal projections
by: Fraser, Jonathan M.
Published: (2025)

Fourier decay of product measures
by: Fraser, Jonathan M.
Published: (2024)

Multiple convolutions and multilinear fractal Fourier extension estimates
by: Oliveira, Itamar, et al.
Published: (2026)

A Fourier analytic approach to exceptional set estimates for orthogonal projections
by: Fraser, Jonathan M., et al.
Published: (2024)

The Fourier spectrum and sumset type problems
by: Fraser, Jonathan M.
Published: (2022)

$L^2$ restriction estimates from the Fourier spectrum
by: Carnovale, Marc, et al.
Published: (2024)

Structure of sets with nearly maximal Favard length
by: Chang, Alan, et al.
Published: (2022)

Pinned Dot Product Set Estimates
by: Bright, Paige, et al.
Published: (2024)

Spread Furstenberg Sets
by: Bright, Paige, et al.
Published: (2024)

A study guide for "On the Hausdorff dimension of Furstenberg sets and orthogonal projections in the plane" after T. Orponen and P. Shmerkin
by: Fiedler, Jacob B., et al.
Published: (2024)

Visible parts and slices of Ahlfors regular sets
by: Dąbrowski, Damian
Published: (2023)

A Continuum Erdős-Beck Theorem
by: Bright, Paige, et al.
Published: (2024)

Weak Carleson conditions in uniformly rectifiable metric spaces: the WCD and alpha numbers
by: Krandel, Jared
Published: (2024)

Self-similar sets and Lipschitz graphs
by: Davey, Blair, et al.
Published: (2024)

On the Hausdorff dimension of Furstenberg sets and orthogonal projections in the plane
by: Orponen, Tuomas, et al.
Published: (2021)

Power Laws for the Favard Length Problem in $\mathbb{R}^d$
by: Marshall, Caleb
Published: (2025)

Dimensions of Furstenberg sets and an extension of Bourgain's projection theorem
by: Shmerkin, Pablo, et al.
Published: (2022)

On Busemann--Hausdorff densities of dimension two and of codimension two, with an application to Plateau Problem
by: Vasilyev, Ioann
Published: (2022)

Unique continuation for locally uniformly distributed measures
by: Engelstein, Max, et al.
Published: (2025)

Fourier restriction for the additive Brownian sheet
by: Fraser, Jonathan M., et al.
Published: (2026)

Furstenberg sets estimate in the plane
by: Ren, Kevin, et al.
Published: (2023)

An improved bound for sumsets of thick compact sets via the Shapley--Folkman theorem
by: Kominers, Scott Duke
Published: (2026)

Carnot rectifiability and Alberti representations
by: Antonelli, Gioacchino, et al.
Published: (2023)

A nonlinear version of Bourgain's projection theorem
by: Shmerkin, Pablo
Published: (2020)

On the Hausdorff dimension of circular Furstenberg sets
by: Fässler, Katrin, et al.
Published: (2023)

Packing dimension of vertical projections in the Heisenberg group
by: Harris, Terence L. J.
Published: (2024)

Exceptional projections of sets exhibiting almost dimension conservation
by: Bushling, Ryan E. G.
Published: (2022)

Hausdorff dimension of union of lines that cover a curve
by: Keleti, Tamás, et al.
Published: (2021)

New criteria for the rectifiability of Radon measures in terms of Riesz transforms
by: Tolsa, Xavier
Published: (2025)

On the packing dimension of Furstenberg sets
by: Shmerkin, Pablo
Published: (2020)

New improvement to Falconer distance set problem in higher dimensions
by: Du, Xiumin, et al.
Published: (2023)

On variants of the Furstenberg set problem
by: Fraser, Jonathan M.
Published: (2024)

Radial Projections in $\mathbb{R}^n$ Revisited
by: Bright, Paige, et al.
Published: (2024)

Exceptional sets for length under restricted families of projections onto lines in $\mathbb{R}^3$
by: Harris, Terence L. J.
Published: (2024)

Dimensions of Kleinian orbital sets
by: Bartlett, Thomas, et al.
Published: (2021)

A nonlinear projection theorem for Assouad dimension and applications
by: Fraser, Jonathan M.
Published: (2020)

Menger curvatures and $C^{1,α}$ rectifiability of measures
by: Ghinassi, Silvia, et al.
Published: (2019)