zbMath1127.11002MaRDI QIDQ5393666
Van H. Vu, Terence C. Tao
Publication date: 24 October 2006
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
On multiplicative energy of subsets of varieties,
Additive properties of fractal sets on the parabola,
A Kneser-Type Theorem for Restricted Sumsets,
On the number of Hadamard matrices via anti-concentration,
From the Littlewood-Offord problem to the Circular Law: Universality of the spectral distribution of random matrices,
Quantitative sheaf theory,
Incidence bounds in positive characteristic via valuations and distality,
On the growth rate in SL2(Fp)${\rm SL_2}(\mathbb {F}_p)$, the affine group and sum‐product type implications,
Tower-type bounds for Roth's theorem with popular differences,
A strengthening of Freiman's 3k−4$3k-4$ theorem,
Four‐term progression free sets with three‐term progressions in all large subsets,
Variations on the Sum-Product Problem II,
Some remarks on the distribution of additive energy,
A Freiman-type Theorem for restricted sumsets,
A bipartite version of the Erdős–McKay conjecture,
Characterisation of Meyer sets via the Freiman-Ruzsa theorem,
On a topological Erdős similarity problem,
Bracket words: A generalisation of Sturmian words arising from generalised polynomials,
Additive averages of multiplicative correlation sequences and applications,
On binomial sums, additive energies, and lazy random walks,
On Rogers–Shephard-type inequalities for the lattice point enumerator,
The weighted Davenport constant of a group and a related extremal problem. II,
Slices and distances: on two problems of Furstenberg and Falconer,
Small sum sets, subcriticality structure,
Approximate subgroups with bounded VC-dimension,
Roth's theorem and the Hardy-Littlewood majorant problem for thin subsets of primes,
Computers as a novel mathematical reality. IV: The Goldbach problem,
On the existence of products of primes in arithmetic progressions,
On a girth-free variant of the Bourgain-Gamburd machine,
Extremal Sidon sets are Fourier uniform, with applications to partition regularity,
A sum-bracket theorem for simple Lie algebras,
Approximate lattices in higher-rank semi-simple groups,
Local limit theorems for subgraph counts,
On the multiplicative Chung-Diaconis-Graham process,
Almost sure behavior of the critical points of random polynomials,
On the size of subsets of \(\mathbb{F}_q^n\) avoiding solutions to linear systems with repeated columns,
Effective equidistribution for multiplicative Diophantine approximation on lines,
Additive structure in convex translates,
A nonlinear bound for the number of subsequence sums,
Products of primes in arithmetic progressions,
GAPs for Shallow Implementation of Quantum Finite Automata,
Sum of Many Dilates,
On the Chromatic Number of Random Cayley Graphs,
An Algorithmic Regularity Lemma for $L_p$ Regular Sparse Matrices,
Unnamed Item,
An analogue of Vosper's theorem for extension fields,
On the size of the set AA+A,
ON ITERATED PRODUCT SETS WITH SHIFTS,
An inverse theorem for the Gowers \(U^{s+1}[N\)-norm],
Distribution of residues in approximate subgroups of 𝔽_{𝕡}*,
A removal lemma for linear configurations in subsets of the circle,
An inverse theorem: When the measure of the sumset is the sum of the measures in a locally compact abelian group,
Multivariable averaging on sparse sets,
Additive and multiplicative Sidon sets,
Multiplicative Energy of Shifted Subgroups and Bounds On Exponential Sums with Trinomials in Finite Fields,
On the local leakage resilience of linear secret sharing schemes,
Sums of finite subsets in \(\mathbb{R}^d\),
Sums of finite subsets in \(\mathbb{R}^d\),
A Bipartite Strengthening of the Crossing Lemma,
What is good mathematics?,
Order-preserving Freiman isomorphisms,
A generalization of a theorem of Rothschild and van Lint,
A generalization of a theorem of Rothschild and van Lint,
Convolution of discrete measures on linear groups,
Convolution of discrete measures on linear groups,
Unnamed Item,
Unnamed Item,
An Upper Bound for Weak $B_k$-Sets,
Distance-Uniform Graphs with Large Diameter,
Boolean functions with small spectral norm, revisited,
An extension of the Erdős‐Tetali theorem,
Higher-rank Bohr sets and multiplicative diophantine approximation,
On higher energy decompositions and the sum–product phenomenon,
An Additive Combinatorics Approach Relating Rank to Communication Complexity,
From harmonic analysis to arithmetic combinatorics,
Variations on the Sum-Product Problem,
The Uniformity Conjecture in Additive Combinatorics,
Exploring the toolkit of Jean Bourgain,
Further bounds in the polynomial Szemer,
Growth in groups: ideas and perspectives,
On growth in an abstract plane,
Unnamed Item,
Popular differences for matrix patterns,
A Short Proof of Kneser’s Addition Theorem for Abelian Groups,
Random walks with different directions,
Distinct distances with \(\ell_p\) metrics,
Cancellation for the multilinear Hilbert transform,
On sums of Szemerédi-Trotter sets,
On the Hardy-Littlewood majorant problem for arithmetic sets,
Equations over sets of integers with addition only,
Bounding multiplicative energy by the sumset,
The ternary Goldbach problem with primes in positive density sets,
Expansion and random walks in \(\text{SL}_d(\mathbb{Z}/p^n\mathbb{Z})\). II.,
Szemerédi's regularity lemma via martingales,
On the sum product estimates and two variables expanders,
Asymptotic results for a class of triangular arrays of multivariate random variables with Bernoulli distributed components,
The Erdős-Ginzburg-Ziv theorem for finite solvable groups.,
On the additive energy of the distance set in finite fields,
On the Wiener norm of subsets of \(\mathbb{Z}_p\) of medium size,
On the existence of flat orthogonal matrices,
Spectral gaps, additive energy, and a fractal uncertainty principle,
On the stability of sparse convolutions,
Lower estimates of circuit complexity in the basis of antichain functions,
On sets defining few ordinary lines,
Improved approximation of linear threshold functions,
Sum-product theorems and exponential sum bounds in residue classes for general modulus,
Optimally small sumsets in groups. IV: Counting multiplicities and the \(\lambda_G\) functions,
On extending Pollard's theorem for \(t\)-representable sums,
A probabilistic technique for finding almost-periods of convolutions,
Growth polynomials for additive quadruples and \((h,k)\)-tuples,
The Noether number of the non-abelian group of order \(3p\),
On the structure of subsets of an orderable group with some small doubling properties,
On restricted sumsets over a field,
On the number of distinct values of a class of functions with finite domain,
An elementary proof of Jin's theorem with a bound,
On exponential sums over multiplicative subgroups of medium size,
Reverse Brunn-Minkowski and reverse entropy power inequalities for convex measures,
The critical number of dense triangle-free binary matroids,
An improved incidence bound for fields of prime order,
Inverse Littlewood-Offord problems and the singularity of random symmetric matrices,
The quantitative behaviour of polynomial orbits on nilmanifolds,
A new approach to an old problem of Erdős and Moser,
Note on character sums of Hilbert cubes,
A Furstenberg-Katznelson-Weiss type theorem on \((d+1)\)-point configurations in sets of positive density in finite field geometries,
Partial matrices all of whose completions have the same spectrum,
The discretized sum-product and projection theorems,
On sum sets of sets having small product set,
Nilprogressions and groups with moderate growth,
Multivariate estimates for the concentration functions of weighted sums of independent, identically distributed random variables,
Optimal inverse Littlewood-Offord theorems,
Sum-product phenomenon in finite fields not of prime order,
Explicit constructions of RIP matrices and related problems,
Universality and the circular law for sparse random matrices,
Random embedding of \({\ell_p^n}\) into \({\ell_r^N}\),
On Roth's theorem on progressions,
The inverse sieve problem in high dimensions,
Some remarks on multilinear exponential sums with an application,
Note on a conjecture of Graham,
Some algorithmic results for [2-sumset covers],
Growth in solvable subgroups of \(\mathrm{GL}_r(\mathbb Z/p\mathbb Z)\).,
A superadditivity and submultiplicativity property for cardinalities of sumsets,
Linear extension of the Erdős-Heilbronn conjecture,
On a certain sum-product estimate in fields of prime order,
New restriction estimates for the 3-d paraboloid over finite fields,
Solution of the minimum modulus problem for covering systems,
Difference sets and positive exponential sums. I: General properties,
On the power of non-adaptive learning graphs,
Near-misses in Wilf's conjecture,
Rainbow solutions to the Sidon equation,
John-type theorems for generalized arithmetic progressions and iterated sumsets,
A note on \(n!\) modulo \(p\),
On a problem of Duke-Erdős-Rödl on cycle-connected subgraphs,
Towers for commuting endomorphisms, and combinatorial applications,
On the structure of the spectrum of small sets,
New results on sums and products in \(\mathbb{R}\),
Inverse Littlewood-Offord problems for quasi-norms,
Expansion and random walks in \(\text{SL}_d(\mathbb{Z}/p^n\mathbb{Z})\). I.,
Quadratic uniformity of the Möbius function,
Some additive applications of the isoperimetric approach,
Nathanson heights in finite vector spaces,
Set partition complexes,
On complete subsets of the cyclic group,
On a question of Davenport and Lewis and new character sum bounds in finite fields,
A weighted generalization of two theorems of Gao,
Lattice polytopes of degree 2,
Properties of two-dimensional sets with small sumset,
A bipartite strengthening of the crossing Lemma,
Extremal Betti numbers of Vietoris-Rips complexes,
Crossing numbers of graphs with rotation systems,
Crossing number and weighted crossing number of near-planar graphs,
Linear equations in primes,
Random martingales and localization of maximal inequalities,
Intersective polynomials and the primes,
Spectral gaps in \(SU(d)\),
New applications of Arak's inequalities to the Littlewood-Offord problem,
On the distribution of the residues of small multiplicative subgroups of \(\mathbb F_p\),
A Freĭman-type theorem for locally compact Abelian groups,
A structure result for bricks in Heisenberg groups,
On self-similar sets with overlaps and inverse theorems for entropy,
Energies and structure of additive sets,
Iterated sumsets and setpartitions,
Power error locating pairs,
Young towers for product systems,
New sum-product type estimates over finite fields,
Structure and regularity for subsets of groups with finite VC-dimension,
The Elekes-Szabó theorem in four dimensions,
On the structure of large sum-free sets of integers,
Permutations of zero-sumsets in a finite vector space,
Additive combinatorics and graph theory,
Dirac-type theorems in random hypergraphs,
Decoupling for fractal subsets of the parabola,
Skew shape asymptotics, a case-based introduction,
Additive representation functions and discrete convolutions,
A Freiman's 2.4 theorem-type result for different subsets,
On the robust stability of commensurate fractional-order systems,
Bohr sets and multiplicative Diophantine approximation,
Power monoids: a bridge between factorization theory and arithmetic combinatorics,
A continuous model for systems of complexity 2 on simple abelian groups,
Expander \(\ell_0\)-decoding,
The crossing number of locally twisted cubes \(L T Q_n\),
Iterated sumsets and subsequence sums,
Entropy of Bernoulli convolutions and uniform exponential growth for linear groups,
An elementary heuristic for Hardy-Littlewood extended Goldbach's conjecture,
The structure of approximate groups.,
On the number of popular differences in \(\mathbb{Z} / p \mathbb{Z} \),
Greedy algorithm with gaps,
A discrete version of Koldobsky's slicing inequality,
Additive energy and the Hausdorff dimension of the exceptional set in metric pair correlation problems,
Brunn-Minkowski type inequalities for the lattice point enumerator,
Higher moments of convolutions,
Lower bounds for the Wiener norm in \(\mathbb{Z}_p^d\),
Sharpening an estimate of the size of the sumset of a convex set,
A linear bound on the dimension in Green-Ruzsa's theorem,
Hilbert cubes meet arithmetic sets,
Spreading linear triple systems and expander triple systems,
On the few products, many sums problem,
Counting sets with small sumset and applications,
Nodal length fluctuations for arithmetic random waves,
On growth of the set \(A(A+1)\) in arbitrary finite fields,
Deletion correcting codes meet the Littlewood-Offord problem,
A recursive procedure for density estimation on the binary hypercube,
Extremal pairs of Young's inequality for Kac algebras,
On popular sums and differences for sets with small multiplicative doubling,
Bilinear and quadratic variants on the Littlewood-Offord problem,
Modular hyperbolas and bilinear forms of Kloosterman sums,
Random matrices: universality of ESDs and the circular law,
Bilinear forms in Weyl sums for modular square roots and applications,
Generalized Sidon sets,
Additive properties of slowly increasing convex sets,
Measure concentration and the weak Pinsker property,
The unit theorem for finite-dimensional algebras,
Distinct distances and arithmetic progressions,
Sum-product phenomena: \(\mathfrak{P}\)-adic case,
Some multiplicative equations in finite fields,
Low-degree factors of random polynomials,
Arak's inequalities for the generalized arithmetic progressions,
On subgraphs of random Cayley sum graphs,
On a theorem of Deshouillers and Freiman,
Dense binary \(\mathrm{PG}(t-1,2)\)-free matroids have critical number \(t-1\) or \(t\),
Counting solutions of special linear equations over finite fields,
On Minkowski sums of many small sets,
Sums and products along sparse graphs,
A note on Freiman models in Heisenberg groups.,
Sumsets of dense sets and sparse sets,
Characterizations of democratic systems of translates on locally compact abelian groups,
Caps and progression-free sets in \(\mathbb{Z}_m^n\),
Explicit small sets with \(\varepsilon\)-discrepancy on Bohr sets,
Roth's theorem in many variables,
On the number of monochromatic lines in \(\mathbb{R}^d\),
Sidon sets in \(\mathbb N^d\),
Representation of finite abelian group elements by subsequence sums,
Channel decomposition for multilevel codes over multilevel and partial erasure channels,
A connection between sumsets and covering codes of a module,
A subexponential upper bound for van der Waerden numbers \(W(3,k)\),
A model-theoretic note on the Freiman-Ruzsa theorem,
On the growth of the number of determinants with restricted entries,
Improved bound in Roth's theorem on arithmetic progressions,
Recent progress in combinatorial random matrix theory,
Approximate Spielman-Teng theorems for the least singular value of random combinatorial matrices,
Towards a function field version of Freiman's theorem,
On a multivariate strong renewal theorem,
Discretized sum-product and Fourier decay in \(\mathbb{R}^n\),
New expander bounds from affine group energy,
On some subgroup chains related to Kneser's theorem,
Expanders and dimensional expansion,
An improved uncertainty principle for functions with symmetry,
Some consequences of the polynomial Freiman-Ruzsa conjecture,
The extent to which subsets are additively closed,
Iterated sumsets and Hilbert functions,
Unique sums and differences in finite abelian groups,
The Littlewood-Offord problem for Markov chains,
Number of \(A + B \neq C\) solutions in abelian groups and application to counting independent sets in hypergraphs,
Coset decision trees and the Fourier algebra,
A new extension of the Erdős-Heilbronn conjecture,
Large sets with small doubling modulo \(p\) are well covered by an arithmetic progression,
A point-conic incidence bound and applications over \(\mathbb{F}_p\),
Dense sumsets of Sidon sequences,
On the singularity probability of discrete random matrices,
Growth in Chevalley groups relatively to parabolic subgroups and some applications,
Progress on local properties problems of difference sets,
Poissonian correlations of higher orders,
Small doubling in cyclic groups,
Product set growth in Burnside groups,
Bounds on the lattice point enumerator via slices and projections,
The Weighted Davenport Constant of a group and a related extremal problem,
A bilinear Bogolyubov-Ruzsa lemma with poly-logarithmic bounds,
Logarithmic bounds for Roth's theorem via almost-periodicity,
On an almost all version of the Balog-Szemeredi-Gowers theorem,
Failure of the trilinear operator space Grothendieck theorem,
Smooth analysis of the condition number and the least singular value,
Inequalities of Riesz-Sobolev type for compact connected abelian groups,
On Sums of Generating Sets in ℤ2n,
Szemer\'{e}di-Trotter type results in arbitrary finite fields,
From Affine to Two-Source Extractors via Approximate Duality,
On a Discrete Brunn--Minkowski Type Inequality,
Sparse Model Uncertainties in Compressed Sensing with Application to Convolutions and Sporadic Communication,
Explicit Matrices with the Restricted Isometry Property: Breaking the Square-Root Bottleneck,
A quantitative improvement for Roth's theorem on arithmetic progressions: Table 1.,
Weak hypergraph regularity and applications to geometric Ramsey theory,
Non-commutative methods in additive combinatorics and number theory,
New applications of the polynomial method: The cap set conjecture and beyond,
Anticoncentration and the Exact Gap-Hamming Problem,
Distinct Distances Between a Circle and a Generic Set,
Solving equations in dense Sidon sets,
Singularity of random symmetric matrices revisited,
Uniformity norms, their weaker versions, and applications,
Squares in Arithmetic Progressions and Infinitely Many Primes,
An application of the sum-product phenomenon to sets avoiding several linear equations,
Monoids of sequences over finite abelian groups defined via zero-sums with respect to a given set of weights and applications to factorizations of norms of algebraic integers,
Equivalence of the Logarithmically Averaged Chowla and Sarnak Conjectures,
On Discrete LOG-Brunn--Minkowski Type Inequalities,
Remarks about inhomogeneous pair correlations,
Log-Brunn-Minkowski inequality under symmetry,
Quantitative invertibility of random matrices: a combinatorial perspective,
THE DE BRUIJN–NEWMAN CONSTANT IS NON-NEGATIVE,
СУММЫ ХАРАКТЕРОВ НА СДВИНУТЫХ СТЕПЕНЯХ,
A slight improvement to Garaev's sum product estimate,
On the Ramsey number of the Brauer configuration,
Universality of the minimum modulus for random trigonometric polynomials,
Sublinear Bounds for a Quantitative Doignon--Bell--Scarf Theorem,
Conjecture of Wilf: A Survey,
NEW BOUNDS FOR SZEMERÉDI'S THEOREM, III: A POLYLOGARITHMIC BOUND FOR,
Projections in vector spaces over finite fields,
Some remarks on sets with small quotient set,
On Quasi-Energy-Spectra, Pair Correlations of Sequences and Additive Combinatorics,
Unnamed Item,
An explicit Pólya-Vinogradov inequality via Partial Gaussian sums,
Sets in $ {\mathbb{Z}}_m$ whose difference sets avoid squares,
Products of primes in arithmetic progressions: a footnote in parity breaking,
Sharpness results concerning finite differences in Fourier analysis on the circle group,
Bounds of Trilinear and Trinomial Exponential Sums,
The Erdős–Burgess constant of the multiplicative semigroup of a factor ring of 𝔽q[x],
A Remark on Sets with Small Wiener Norm,
Unnamed Item,
On asymptotic formulae in some sum–product questions,
Arithmetic combinatorics on Vinogradov systems,
The Erdős–Moser Sum-free Set Problem,
Partition regularity and multiplicatively syndetic sets,
Unnamed Item,
Differences of subgroups in subgroups,
Approximate multiplicative groups in nilpotent Lie groups,
A decoupling for Cantor-like sets,
A counterexample to a strong variant of the Polynomial Freiman-Ruzsa conjecture in Euclidean space,
On discrete values of bilinear forms,
Generalized difference sets and autocorrelation integrals,
Fourier analysis and expanding phenomena in finite fields,
Difference sets in higher dimensions,
True complexity of polynomial progressions in finite fields,
Sums of Dilates in p,
The structure theory of set addition revisited,
Arithmetic Progressions in Sumsets and Lp-Almost-Periodicity,
Small doubling in $m$-Engel groups,
Unnamed Item,
Decomposition of random walk measures on the one-dimensional torus,
Three-term arithmetic progressions in subsets of F_q^∞ of large Fourier dimension,
Local Properties via Color Energy Graphs and Forbidden Configurations,
A proof of a conjecture of Lev,
An improved bound on the Hausdorff dimension of Besicovitch sets in ℝ³,
The group ring of ℚ/ℤ and an application of a divisor problem,
On inequivalences of sequences of characters,
Pair correlation of sequences with maximal additive energy,
Unnamed Item,
Stronger sum-product inequalities for small sets,
Counting rectangles and an improved restriction estimate for the paraboloid in $F_p^3$,
Bootstrapping partition regularity of linear systems,
Odd order cases of the logarithmically averaged Chowla conjecture,
AN EXPLICIT TWO‐SOURCE EXTRACTOR WITH MIN‐ENTROPY RATE NEAR,
A Step Beyond Kemperman's Structure Theorem,
Additive energy of regular measures in one and higher dimensions, and the fractal uncertainty principle,
Asymmetric estimates and the sum-product problems,
Gordon's conjectures 1 and 2: Pontryagin-van Kampen duality in the hyperfinite setting,
Outlaw distributions and locally decodable codes,
Small Gál sums and applications,
Surjectivity of near-square random matrices,
On finite sets of small tripling or small alternation in arbitrary groups,
Unnamed Item,
Entropy Inequalities for Sums in Prime Cyclic Groups,
Sets whose differences avoid squares modulo 𝑚,
Some new results in random matrices over finite fields,
On the counting problem in inverse Littlewood–Offord theory,
A tight structure theorem for sumsets,
Approximately half of the roots of a random Littlewood polynomial are inside the disk,
Roots of random functions: A framework for local universality,
Small Doubling in Groups with Moderate Torsion,
Quantitative stability of the Brunn-Minkowski inequality for sets of equal volume,
On the number of unit-area triangles spanned by convex grids in the plane,
On the product sets of rational numbers,
Sums of multiplicative characters with additive convolutions,
A bound on partitioning clusters,
Nonlinear large deviations,
Formal duality in finite cyclic groups,
On the additive energy of the Heilbronn subgroup,
On the squares in the set of elements of a finite field with constraints on the coefficients of its basis expansion,
New bounds in Balog-Szemerédi-Gowers theorem,
Some new results on higher energies,
Expanders with superquadratic growth,
Points on polynomial curves in small boxes modulo an integer,
On maximal product sets of random sets,
Number of directions determined by a set in \(\mathbb{F}_q^2\) and growth in \(\mathrm{Aff}(\mathbb{F}_q)\),
On sums and products of combinatorial cubes,
Monochromatic Hilbert cubes and arithmetic progressions,
On exceptional sets in the metric Poissonian pair correlations problem,
A refinement of Cauchy-Schwarz complexity,
On a Conjecture of Godsil Concerning Controllable Random Graphs,
Some remarks on the asymmetric sum-product phenomenon,
Bombieri-Vinogradov for multiplicative functions, and beyond the \(x^{1/2}\)-barrier,
Estimates for character sums in finite fields of order \(p^2\) and \(p^3\),
An example concerning set addition in \(\mathbb{F}_2^n\),
Double character sums with intervals and arbitrary sets,
On the size of the quotient of two subsets of positive integers,
One-Point Concentration of the Clique and Chromatic Numbers of the Random Cayley Graph on $\mathbb{F}_2^n$,
On value sets of polynomials over a field,
Sets with large additive energy and symmetric sets,
On the product of subsets in periodic groups,
Lattice-point enumerators of ellipsoids,
A multiplicative analogue of Schnirelmann's theorem,
A density version of the Vinogradov three primes theorem,
A product theorem in free groups.,
On congruences with products of variables from short intervals and applications,
Small cutsets in arc-transitive digraphs of prime degree,
Some remarks on the lonely runner conjecture,
Coloring the \(n\)-smooth numbers with \(n\) colors,
A pair correlation problem, and counting lattice points with the zeta function,
On the spectral gap and the diameter of Cayley graphs,
Averages over hyperplanes, sum-product theory in vector spaces over finite fields and the Erdős-Falconer distance conjecture,
A characterization of spaces of homogeneous type induced by continuous ellipsoid covers of \(\mathbb{R}^n\),
The uncertainty principle over finite fields,
Query complexity and the polynomial Freiman-Ruzsa conjecture,
On some applications of GCD sums to arithmetic combinatorics,
On the spectral gap for finitely-generated subgroups of \(\text{SU}(2)\),
New proofs of Plünnecke-type estimates for product sets in groups,
The frequent paucity of trivial strings,
Multiplicative congruences with variables from short intervals,
Results on the Erdős-Falconer distance problem in \(\mathbb{Z}_q^d\) for odd \(q\),
New results on expanders,
Block maps and Fourier analysis,
Finite field restriction estimates based on Kakeya maximal operator estimates,
Near-extremizers of Young's inequality for Euclidean groups,
On sums of products in \(\mathbb{F}_p \times \mathbb{F}_p\),
Finding large co-Sidon subsets in sets with a given additive energy,
Subset sums in abelian groups,
A nilpotent Freiman dimension lemma,
The Dicks-Ivanov problem and the Hamidoune problem.,
Conditional expanding bounds for two-variable functions over prime fields,
Some remarks on barycentric-sum problems over cyclic groups,
On sumsets and convex hull,
On sets with small additive doubling in product sets,
Factorization theory in commutative monoids,
On the \(\ell_4:\ell_2\) ratio of functions with restricted Fourier support,
Some remarks on products of sets in the Heisenberg group and in the affine group,
Solutions of polynomial equations in subgroups of \(\mathbb{F}_p^*\),
Any small multiplicative subgroup is not a sumset,
An improved bound on the packing dimension of Furstenberg sets in the plane,
On the density or measure of sets and their sumsets in the integers or the circle,
An introduction to large deviations for random graphs,
Difference sets are not multiplicatively closed,
Sum-avoiding sets in groups,
Monochromatic sums and products,
Subsets of Euclidean space with nearly maximal Gowers norms,
Near equality in the Riesz-Sobolev inequality,
Properties of the \(d\)-dimensional Earth mover's problem,
The local limit theorem on nilpotent Lie groups,
A short remark on the multiplicative energy of the spectrum,
The anti-Ramsey problem for the Sidon equation,
The additive group of the rationals does not have an automatic presentation,
Expander graphs in pure and applied mathematics,
On the local integrability condition for generalised translation-invariant systems,
Multiparameter Projection Theorems with Applications to Sums-Products and Finite Point Configurations in the Euclidean Setting,
Additive Combinatorics: With a View Towards Computer Science and Cryptography—An Exposition,
Freiman Homomorphisms of Random Subsets of,
Improved log-Sobolev inequalities, hypercontractivity and uncertainty principle on the hypercube,
Stable group theory and approximate subgroups,
Bounds of trilinear and quadrilinear exponential sums,
COMPLEXITY OF SHORT GENERATING FUNCTIONS,
Dimension growth for iterated sumsets,
On the Sumset Partition Problem,
Rainbow-free 3-colorings in abelian groups,
Random matrices: universality of local spectral statistics of non-Hermitian matrices,
Exponential patterns in arithmetic Ramsey theory,
Linear forms and quadratic uniformity for functions on \(\mathbb{Z}_{N}\),
Strong renewal theorems with infinite mean beyond local large deviations,
A statistical approach to covering lemmas,
The proof of the \(l^2\) decoupling conjecture,
New bounds on cap sets