A Szemerédi-type regularity lemma in abelian groups, with applications
From MaRDI portal
Publication:2571726
DOI10.1007/s00039-005-0509-8zbMath1160.11314arXivmath/0310476OpenAlexW4379511371WikidataQ56688904 ScholiaQ56688904MaRDI QIDQ2571726
Publication date: 14 November 2005
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0310476
Related Items (only showing first 100 items - show all)
On a common-extendable, non-Sidorenko linear system ⋮ Structure and regularity for subsets of groups with finite VC-dimension ⋮ Approximate groups and doubling metrics ⋮ Popular progression differences in vector spaces II ⋮ On an almost all version of the Balog-Szemeredi-Gowers theorem ⋮ On the structure of large sum-free sets of integers ⋮ Removal lemmas and approximate homomorphisms ⋮ Testing Odd-Cycle-Freeness in Boolean Functions ⋮ THE TYPICAL STRUCTURE OF MAXIMAL TRIANGLE-FREE GRAPHS ⋮ Induced arithmetic removal: complexity 1 patterns over finite fields ⋮ Gaussian bounds for noise correlation of functions ⋮ On maximal sum-free sets in abelian groups ⋮ Some Properties of Lower Level-Sets of Convolutions ⋮ Sum-free sets in abelian groups ⋮ A sharp bound on the number of maximal sum-free sets ⋮ Online containers for hypergraphs, with applications to linear equations ⋮ On linear configurations in subsets of compact abelian groups, and invariant measurable hypergraphs ⋮ New applications of the polynomial method: The cap set conjecture and beyond ⋮ Maximum number of sum-free colorings in finite abelian groups ⋮ A note on sparse supersaturation and extremal results for linear homogeneous systems ⋮ On solution-free sets of integers ⋮ On the maximum number of integer colourings with forbidden monochromatic sums ⋮ A polynomial bound for the arithmetic \(k\)-cycle removal lemma in vector spaces ⋮ Patterns without a popular difference ⋮ A tight bound for Green's arithmetic triangle removal lemma in vector spaces ⋮ Popular differences for right isosceles triangles ⋮ Sunflowers and testing triangle-freeness of functions ⋮ The number of maximal sum-free subsets of integers ⋮ Testing Linear-Invariant Properties ⋮ Convolutions of sets with bounded VC-dimension are uniformly continuous ⋮ When the sieve works. II ⋮ Tower-type bounds for Roth's theorem with popular differences ⋮ A counting lemma for binary matroids and applications to extremal problems ⋮ The critical number of dense triangle-free binary matroids ⋮ Integer colorings with forbidden rainbow sums ⋮ One-Point Concentration of the Clique and Chromatic Numbers of the Random Cayley Graph on $\mathbb{F}_2^n$ ⋮ Approximate subgroups with bounded VC-dimension ⋮ An improved lower bound for arithmetic regularity ⋮ Multiple recurrence and large intersections for abelian group actions ⋮ Quantitative structure of stable sets in finite abelian groups ⋮ Multiple recurrence and popular differences for polynomial patterns in rings of integers ⋮ Local-vs-global combinatorics ⋮ On arithmetic progressions in symmetric sets in finite field model ⋮ Linear forms and higher-degree uniformity for functions on \(\mathbb F^n_p\) ⋮ Counting sets with small sumset and applications ⋮ NEW BOUNDS FOR SZEMERÉDI'S THEOREM, III: A POLYLOGARITHMIC BOUND FOR ⋮ Unnamed Item ⋮ Odd circuits in dense binary matroids ⋮ Independent Sets in Hypergraphs and Ramsey Properties of Graphs and the Integers ⋮ A new proof of the graph removal lemma ⋮ Unnamed Item ⋮ Monochromatic Solutions to ⋮ Regularity lemmas in a Banach space setting ⋮ Counting configuration-free sets in groups ⋮ Multiple ergodic averages for three polynomials and applications ⋮ Extremal results in sparse pseudorandom graphs ⋮ On the asymptotic maximal density of a set avoiding solutions to linear equations modulo a prime ⋮ \(L\)-functions and sum-free sets ⋮ Sum-Free Sets of Integers with a Forbidden Sum ⋮ Embedding Graphs into Larger Graphs: Results, Methods, and Problems ⋮ The Erdős–Moser Sum-free Set Problem ⋮ A removal lemma for linear configurations in subsets of the circle ⋮ Hypergraph containers ⋮ A Diophantine Ramsey theorem ⋮ On the number of monochromatic solutions of integer linear systems on Abelian groups ⋮ Pseudofinite groups and VC-dimension ⋮ Enumerating solution-free sets in the integers ⋮ A variant of the Corners theorem ⋮ Counting configuration-free sets in groups ⋮ Stability results for random discrete structures ⋮ A removal lemma for systems of linear equations over finite fields ⋮ Groups with few maximal sum-free sets ⋮ Invariance in Property Testing ⋮ Testing Linear-Invariant Non-linear Properties: A Short Report ⋮ Green’s Conjecture and Testing Linear Invariant Properties ⋮ Random sum-free subsets of abelian groups ⋮ The symmetry preserving removal lemma ⋮ Linear quasi-randomness of subsets of abelian groups and hypergraphs ⋮ Roth-type theorems in finite groups ⋮ What is good mathematics? ⋮ Asymptotics for the logarithm of the number of \(k\)-solution-free sets in abelian groups ⋮ A Freĭman-type theorem for locally compact Abelian groups ⋮ The structure of claw-free binary matroids ⋮ Popular differences for corners in Abelian groups ⋮ Triforce and corners ⋮ Sum-free subsets of finite abelian groups of type III ⋮ A group version of stable regularity ⋮ Asymptotics for the Logarithm of the Number of (k, l)-Solution-Free Collections in an Interval of Naturals ⋮ A combinatorial proof of the removal lemma for groups ⋮ Monochromatic sums and products ⋮ A unified framework for testing linear‐invariant properties ⋮ Testing properties of functions on finite groups ⋮ On the Distribution of Three-Term Arithmetic Progressions in Sparse Subsets of Fpn ⋮ On finite sets of small tripling or small alternation in arbitrary groups ⋮ Flipping Out with Many Flips: Hardness of Testing $k$-Monotonicity ⋮ Quantitative structure of stable sets in arbitrary finite groups ⋮ Unnamed Item ⋮ Popular differences for matrix patterns ⋮ Lower bounds for testing triangle-freeness in Boolean functions ⋮ A relative Szemerédi theorem
This page was built for publication: A Szemerédi-type regularity lemma in abelian groups, with applications