Cover Image

High-low method and $p$-adic Furstenberg set over the plane

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Ren, Kevin, Shen, Jiahe
Format:	Preprint
Published:	2025
Subjects:	Functional Analysis 28A78 (primary), 28A80 (secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

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

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

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

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

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

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)

Counting rationals and diophantine approximation in missing-digit Cantor sets
by: Chow, Sam, et al.
Published: (2024)

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

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

Incidence bounds related to circular Furstenberg sets
by: Green, John, et al.
Published: (2025)

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

Dimensions of orbital sets in complex dynamics
by: Fraser, Jonathan M, et al.
Published: (2025)

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

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

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

On the projections of almost Ahlfors regular sets
by: Orponen, Tuomas, et al.
Published: (2024)

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

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

A gasket construction of the Koch snowflake and variations
by: Sargent, Robert C.
Published: (2025)

Furstenberg-type estimates under mild non-concentration assumptions
by: Orponen, Tuomas, et al.
Published: (2026)

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

Marstrand's density theorem for arbitrary norms in the plane
by: Del Nin, Giacomo, et al.
Published: (2025)

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

Projections, Furstenberg sets, and the $ABC$ sum-product problem
by: Orponen, Tuomas, et al.
Published: (2023)

On the dimension of $s$-Nikodým sets
by: Dąbrowski, Damian, et al.
Published: (2024)

Badly approximable points on non-linear carpets
by: Anttila, Roope, et al.
Published: (2026)

Nonempty interior of configuration sets via microlocal partition optimization
by: Greenleaf, Allan, et al.
Published: (2022)

Sharpness of convolution bounds for measures
by: Lee, Sanghyuk, et al.
Published: (2026)

Vertical projections in the Heisenberg group for sets of dimension greater than 3
by: Harris, Terence L. J.
Published: (2023)

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

Carleson families of cubes related to porous sets
by: Vasin, Andrei V.
Published: (2026)

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

On the projections of Ahlfors regular sets in the plane
by: Orponen, Tuomas
Published: (2024)

Length of sets under restricted families of projections onto lines
by: Harris, Terence L. J.
Published: (2022)

Self-similar fractals and common hypercyclicity
by: Costa Jr, Fernando
Published: (2023)

Projections of sets with optimal oracles onto $k$-planes
by: Fiedler, Jacob B., et al.
Published: (2026)

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