On the volumes of simplices determined by a subset of $\mathbb{R}^d$
Fuente:
arXiv
Saved in:
| Main Authors: | Shmerkin, Pablo, Yavicoli, Alexia |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Full measure universality for Cantor Sets
by: Shmerkin, Pablo, et al.
Published: (2025)
by: Shmerkin, Pablo, et al.
Published: (2025)
Intersections of thick compact sets in $\mathbb{R}^d$
by: Falconer, Kenneth, et al.
Published: (2021)
by: Falconer, Kenneth, et al.
Published: (2021)
On volumes of simplices in intermediate dimensions
by: Montejo, José Gaitan, et al.
Published: (2026)
by: Montejo, José Gaitan, et al.
Published: (2026)
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)
Furstenberg-type estimates under mild non-concentration assumptions
by: Orponen, Tuomas, et al.
Published: (2026)
by: Orponen, Tuomas, et al.
Published: (2026)
Numbers omitting digits in certain base expansions
by: Yavicoli, Alexia, et al.
Published: (2025)
by: Yavicoli, Alexia, et al.
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)
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)
Projections, Furstenberg sets, and the $ABC$ sum-product problem
by: Orponen, Tuomas, et al.
Published: (2023)
by: Orponen, Tuomas, et al.
Published: (2023)
On the packing dimension of Furstenberg sets
by: Shmerkin, Pablo
Published: (2020)
by: Shmerkin, Pablo
Published: (2020)
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)
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)
Incidence bounds related to circular Furstenberg sets
by: Green, John, et al.
Published: (2025)
by: Green, John, et al.
Published: (2025)
The VC-dimension and point configurations in $\mathbb{R}^d$
by: Iosevich, Alex, et al.
Published: (2025)
by: Iosevich, Alex, et al.
Published: (2025)
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)
An $L^{4/3}$ $SL_2$ Kakeya maximal inequality
by: Harris, Terence L. J.
Published: (2023)
by: Harris, Terence L. J.
Published: (2023)
Vertical projections in the Heisenberg group for sets of dimension greater than 3
by: Harris, Terence L. J.
Published: (2023)
by: Harris, Terence L. J.
Published: (2023)
On the dimension of $s$-Nikodým sets
by: Dąbrowski, Damian, et al.
Published: (2024)
by: Dąbrowski, Damian, et al.
Published: (2024)
A note on higher integrability of projections
by: Orponen, Tuomas
Published: (2025)
by: Orponen, Tuomas
Published: (2025)
Geometric Bounds for Favard Length
by: Bongers, Rosemarie
Published: (2017)
by: Bongers, Rosemarie
Published: (2017)
On the projections of almost Ahlfors regular sets
by: Orponen, Tuomas, et al.
Published: (2024)
by: Orponen, Tuomas, et al.
Published: (2024)
New improvement to Falconer distance set problem in higher dimensions
by: Du, Xiumin, et al.
Published: (2023)
by: Du, Xiumin, et al.
Published: (2023)
Furstenberg sets estimate in the plane
by: Ren, Kevin, et al.
Published: (2023)
by: Ren, Kevin, et al.
Published: (2023)
On variants of the Furstenberg set problem
by: Fraser, Jonathan M.
Published: (2024)
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)
by: Fiedler, Jacob B., et al.
Published: (2024)
Length of sets under restricted families of projections onto lines
by: Harris, Terence L. J.
Published: (2022)
by: Harris, Terence L. J.
Published: (2022)
A Continuum Beck-type Theorem for Hyperplanes
by: Bright, Paige, et al.
Published: (2025)
by: Bright, Paige, 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)
Visible parts and slices of Ahlfors regular sets
by: Dąbrowski, Damian
Published: (2023)
by: Dąbrowski, Damian
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)
On the strong separation condition for self-similar iterated function systems with random translations
by: Baker, Simon, et al.
Published: (2024)
by: Baker, Simon, et al.
Published: (2024)
Self-similar sets and Lipschitz graphs
by: Davey, Blair, et al.
Published: (2024)
by: Davey, Blair, et al.
Published: (2024)
Sum-product phenomena for Ahlfors-regular sets
by: O'Regan, William
Published: (2025)
by: O'Regan, William
Published: (2025)
Distances in sparse sets of large Hausdorff dimension
by: Pramanik, Malabika, et al.
Published: (2023)
by: Pramanik, Malabika, et al.
Published: (2023)
Weak Carleson conditions in uniformly rectifiable metric spaces: the WCD and alpha numbers
by: Krandel, Jared
Published: (2024)
by: Krandel, Jared
Published: (2024)
A decomposition for Borel measures $μ\le \mathcal{H}^{s}$
by: Detaille, Antoine, et al.
Published: (2020)
by: Detaille, Antoine, et al.
Published: (2020)
Slices and distances: on two problems of Furstenberg and Falconer
by: Shmerkin, Pablo
Published: (2021)
by: Shmerkin, Pablo
Published: (2021)
On the projections of Ahlfors regular sets in the plane
by: Orponen, Tuomas
Published: (2024)
by: Orponen, Tuomas
Published: (2024)
Simple proofs of discretised projection theorems
by: O'Regan, William, et al.
Published: (2025)
by: O'Regan, William, et al.
Published: (2025)
Similar Items
-
Full measure universality for Cantor Sets
by: Shmerkin, Pablo, et al.
Published: (2025) -
Intersections of thick compact sets in $\mathbb{R}^d$
by: Falconer, Kenneth, et al.
Published: (2021) -
On volumes of simplices in intermediate dimensions
by: Montejo, José Gaitan, et al.
Published: (2026) -
On the distance sets spanned by sets of dimension $d/2$ in $\mathbb{R}^d$
by: Shmerkin, Pablo, et al.
Published: (2021) -
Furstenberg-type estimates under mild non-concentration assumptions
by: Orponen, Tuomas, et al.
Published: (2026)