Cover Image

On the Furstenberg-Katznelson constant for the IP Szemeredi theorem over finite fields

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Shalom, Or
Format:	Preprint
Published:	2026
Subjects:	Dynamical Systems Combinatorics
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Ergodic averages and the large intersection property along IP sets
by: Kra, Bryna, et al.
Published: (2025)

An inverse theorem for all finite abelian groups via nilmanifolds
by: Candela, Pablo, et al.
Published: (2025)

Polynomial towers and inverse Gowers theory for bounded-exponent groups
by: Jamneshan, Asgar, et al.
Published: (2026)

A Szemerédi type theorem for sets of positive density in approximate lattices
by: Björklund, Michael, et al.
Published: (2024)

A fixed-point theorem for face maps, or deletion-tolerant random finite sets
by: Hutchcroft, Tom, et al.
Published: (2025)

Dynamical self-similarity, $L^{q}$-dimensions and Furstenberg slicing in $\mathbb{R}^d$
by: Corso, Emilio, et al.
Published: (2024)

Conley-Morse-Forman theory for generalized combinatorial multivector fields on finite topological spaces
by: Lipiński, Michał, et al.
Published: (2019)

Furstenberg--Sárközy theorem and partition regularity of polynomial equations over finite fields
by: Ackelsberg, Ethan, et al.
Published: (2023)

A Marstrand type slicing theorem for subsets of $\mathbb{Z}^2 \subset \mathbb{R}^2$ with the mass dimension
by: Pathak, Aritro
Published: (2020)

Finding lower bounds on the growth and entropy of subshifts over countable groups
by: Rosenfeld, Matthieu
Published: (2022)

The Szemerédi-Trotter theorem over arbitrary field of characteristic zero
by: Shen, Jiahe
Published: (2025)

The complexity of finite smooth words over binary alphabets
by: Cassaigne, Julien, et al.
Published: (2026)

On a theorem of François Robert
by: Mossé, Brigitte, et al.
Published: (2025)

Host-Kra factors for $\bigoplus_{p\in P}\mathbb{Z}/p\mathbb{Z}$ actions and finite dimensional nilpotent systems
by: Shalom, Or
Published: (2021)

Some ergodic theorems involving Omega function and their applications
by: Xiao, Rongzhong
Published: (2024)

Quasipolynomial bounds on the inverse theorem for the Gowers $U^{s+1}[N]$-norm
by: Leng, James, et al.
Published: (2024)

An inverse theorem for the Gowers U^{s+1}[N]-norm
by: Green, Ben, et al.
Published: (2010)

Bracket words along Hardy field sequences
by: Konieczny, Jakub, et al.
Published: (2023)

Spherical higher order Fourier analysis over finite fields IV: an application to the Geometric Ramsey Conjecture
by: Sun, Wenbo
Published: (2023)

Persistent homology of Morse decomposition in Markov chains based on combinatorial multivector fields
by: Woukeng, Donald
Published: (2025)

A Host--Kra ${\mathbf F}_2^ω$-system of order $5$ that is not Abramov of order $5$, and non-measurability of the inverse theorem for the $U^6({\mathbf F}_2^n)$ norm
by: Jamneshan, Asgar, et al.
Published: (2023)

Tameness, nullness, and amorphic complexity of automatic systems
by: Gröger, Maik, et al.
Published: (2026)

Infinite Words with very Low Factor Complexity: an introduction to Combinatorics on Words
by: Andrieu, Mélodie
Published: (2026)

A Proof of Rauzy's Conjecture on Abelian Complexity
by: Andrieu, Mélodie, et al.
Published: (2026)

Fractal transference principles for subsets of $\mathbb{N}^d$ of positive density
by: Guo, Zhuowen, et al.
Published: (2026)

Absorbing States of Binary Trust Gossip Are Counted by Plane Partitions
by: Boichuk, Nicholas
Published: (2026)

Explicit entropy bounds for symmetric nearest-neighbor subshifts
by: Bui, Vuong
Published: (2026)

Universal Cycles on Affine Lines
by: Kang, Ming-Hsuan, et al.
Published: (2026)

Some statistics about Tropical Sandpile Model
by: Kalinin, Nikita, et al.
Published: (2019)

Erdős' problem and $(n, \frac{1}{3})$-separated sets
by: Shi, Enhui, et al.
Published: (2024)

An alternating colouring function on strings
by: Garbe, Jonathan
Published: (2024)

Geometric Markov partitions for pseudo-Anosov homeomorphisms with prescribed combinatorics
by: Diaz, Inti Cruz
Published: (2024)

Simultaneous approximation in nilsystems and the multiplicative thickness of return-time sets
by: Glasscock, Daniel
Published: (2022)

On the Eigenvalues of Graphs with Mixed Algebraic Structure
by: Bonetto, Riccardo, et al.
Published: (2024)

The Flapping Birds in the Pentagram Zoo
by: Schwartz, Richard Evan
Published: (2024)

Vector-relation configurations and plabic graphs
by: Affolter, Niklas, et al.
Published: (2019)

On the independence of shifts defined on $\mathbb{N}^d$ and trees
by: Ban, Jung-Chao, et al.
Published: (2024)

Marstrand type slicing statements in $\mathbb{Z}^{2}\subset \mathbb{R}^{2}$ are false for the counting dimension
by: Pathak, Aritro
Published: (2020)

Simplices in large sets and directional expansion in ergodic actions
by: Björklund, Michael, et al.
Published: (2024)

New Applications of Ergodic Theory to Sets of Differences
by: Belgikar, Kabir, et al.
Published: (2024)