Discretised sum-product theorems by Shannon-type inequalities
Fuente:
arXiv
Saved in:
| Main Authors: | Máthé, András, O'Regan, William |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Sum-product phenomena for Ahlfors-regular sets
by: O'Regan, William
Published: (2025)
by: O'Regan, William
Published: (2025)
Covering sponges with tubes
by: O'Regan, William
Published: (2025)
by: O'Regan, William
Published: (2025)
Dimensions of Furstenberg sets and an extension of Bourgain's projection theorem
by: Shmerkin, Pablo, et al.
Published: (2022)
by: Shmerkin, Pablo, et al.
Published: (2022)
Generalised lower Assouad-type dimensions and their interpolations
by: Chen, Haipeng, et al.
Published: (2026)
by: Chen, Haipeng, et al.
Published: (2026)
On the Hausdorff dimension of Furstenberg sets and orthogonal projections in the plane
by: Orponen, Tuomas, et al.
Published: (2021)
by: Orponen, Tuomas, et al.
Published: (2021)
On the distance sets spanned by sets of dimension $d/2$ in $\mathbb{R}^d$
by: Shmerkin, Pablo, et al.
Published: (2021)
by: Shmerkin, Pablo, et al.
Published: (2021)
Self-embedding similitudes of Bedford-McMullen carpets with dependent ratios
by: Xiao, Jian-Ci
Published: (2024)
by: Xiao, Jian-Ci
Published: (2024)
Projections, Furstenberg sets, and the $ABC$ sum-product problem
by: Orponen, Tuomas, et al.
Published: (2023)
by: Orponen, Tuomas, et al.
Published: (2023)
New improvement to Falconer distance set problem in higher dimensions
by: Du, Xiumin, et al.
Published: (2023)
by: Du, Xiumin, et al.
Published: (2023)
On variants of the Furstenberg set problem
by: Fraser, Jonathan M.
Published: (2024)
by: Fraser, Jonathan M.
Published: (2024)
Radial Projections in $\mathbb{R}^n$ Revisited
by: Bright, Paige, et al.
Published: (2024)
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)
by: Harris, Terence L. J.
Published: (2024)
Furstenberg sets estimate in the plane
by: Ren, Kevin, et al.
Published: (2023)
by: Ren, Kevin, et al.
Published: (2023)
On the packing dimension of Furstenberg sets
by: Shmerkin, Pablo
Published: (2020)
by: Shmerkin, Pablo
Published: (2020)
Simple proofs of discretised projection theorems
by: O'Regan, William, et al.
Published: (2025)
by: O'Regan, William, et al.
Published: (2025)
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)
by: Fiedler, Jacob B., et al.
Published: (2024)
From Lipschitz embedding to Lipschitz equivalence between dust-like self-similar sets
by: Ruan, Huo-Jun, et al.
Published: (2025)
by: Ruan, Huo-Jun, et al.
Published: (2025)
On the Hausdorff dimension of circular Furstenberg sets
by: Fässler, Katrin, et al.
Published: (2023)
by: Fässler, Katrin, et al.
Published: (2023)
Packing dimension of vertical projections in the Heisenberg group
by: Harris, Terence L. J.
Published: (2024)
by: Harris, Terence L. J.
Published: (2024)
A Study Guide to "Kaufman and Falconer estimates for radial projections"
by: Bright, Paige, et al.
Published: (2024)
by: Bright, Paige, et al.
Published: (2024)
Kaufman and Falconer estimates for radial projections and a continuum version of Beck's Theorem
by: Orponen, Tuomas, et al.
Published: (2022)
by: Orponen, Tuomas, et al.
Published: (2022)
Self-similar sets and Lipschitz graphs
by: Davey, Blair, et al.
Published: (2024)
by: Davey, Blair, et al.
Published: (2024)
Interpolating between Hausdorff and box dimension
by: Banaji, Amlan
Published: (2024)
by: Banaji, Amlan
Published: (2024)
Tangents of invariant sets
by: Käenmäki, Antti, et al.
Published: (2023)
by: Käenmäki, Antti, et al.
Published: (2023)
Intermediate dimensions of Bedford-McMullen carpets with applications to Lipschitz equivalence
by: Banaji, Amlan, et al.
Published: (2021)
by: Banaji, Amlan, et al.
Published: (2021)
A nonlinear projection theorem for Assouad dimension and applications
by: Fraser, Jonathan M.
Published: (2020)
by: Fraser, Jonathan M.
Published: (2020)
Slices and distances: on two problems of Furstenberg and Falconer
by: Shmerkin, Pablo
Published: (2021)
by: Shmerkin, Pablo
Published: (2021)
A nonlinear version of Bourgain's projection theorem
by: Shmerkin, Pablo
Published: (2020)
by: Shmerkin, Pablo
Published: (2020)
A Continuum Erdős-Beck Theorem
by: Bright, Paige, et al.
Published: (2024)
by: Bright, Paige, et al.
Published: (2024)
Attainable forms of intermediate dimensions
by: Banaji, Amlan, et al.
Published: (2021)
by: Banaji, Amlan, et al.
Published: (2021)
New Hausdorff type dimensions and optimal bounds for bilipschitz invariant dimensions
by: Balka, Richárd, et al.
Published: (2023)
by: Balka, Richárd, et al.
Published: (2023)
Minkowski dimension for measures
by: Falconer, Kenneth J., et al.
Published: (2020)
by: Falconer, Kenneth J., et al.
Published: (2020)
An invitation to dimension interpolation
by: Fraser, Jonathan M.
Published: (2026)
by: Fraser, Jonathan M.
Published: (2026)
Furstenberg-type estimates under mild non-concentration assumptions
by: Orponen, Tuomas, et al.
Published: (2026)
by: Orponen, Tuomas, et al.
Published: (2026)
Weakly porous sets and Muckenhoupt $A_p$ distance functions
by: Anderson, Theresa C., et al.
Published: (2022)
by: Anderson, Theresa C., et al.
Published: (2022)
An improved bound for the dimension of $(α,2α)$-Furstenberg sets
by: Héra, Kornélia, et al.
Published: (2020)
by: Héra, Kornélia, et al.
Published: (2020)
Fourier decay of product measures
by: Fraser, Jonathan M.
Published: (2024)
by: Fraser, Jonathan M.
Published: (2024)
Analytic capacity and dimension of sets with plenty of big projections
by: Dąbrowski, Damian, et al.
Published: (2022)
by: Dąbrowski, Damian, et al.
Published: (2022)
Structure of sets with nearly maximal Favard length
by: Chang, Alan, et al.
Published: (2022)
by: Chang, Alan, et al.
Published: (2022)
Pinned Dot Product Set Estimates
by: Bright, Paige, et al.
Published: (2024)
by: Bright, Paige, et al.
Published: (2024)
Similar Items
-
Sum-product phenomena for Ahlfors-regular sets
by: O'Regan, William
Published: (2025) -
Covering sponges with tubes
by: O'Regan, William
Published: (2025) -
Dimensions of Furstenberg sets and an extension of Bourgain's projection theorem
by: Shmerkin, Pablo, et al.
Published: (2022) -
Generalised lower Assouad-type dimensions and their interpolations
by: Chen, Haipeng, et al.
Published: (2026) -
On the Hausdorff dimension of Furstenberg sets and orthogonal projections in the plane
by: Orponen, Tuomas, et al.
Published: (2021)